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Alexey Augustinovich Tuzhilin

Full list of publications: department page and ISTINA profile (IRID 1471912)

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Titles are translated into English, personal names and Russian-language journal titles are transliterated, and venue information is given in English; ISTINA records are linked where available. The list combines the Russian departmental publication list with the ISTINA profile and contains 274 bibliographic records: 183 journal articles, 26 book chapters and collected papers, 20 books, textbooks and preprints, 14 conference abstracts, 31 conference talks.

Journal articles

183 records

  1. 2026 Surjective mappings in the Hyers–Ulam theorem and the Gromov–Hausdorff distance Bogatyi Semeon A., Reznichenko Evgenii A., Tuzhilin Alexey A In: European Journal of Mathematics, published by Springer Nature (Switzerland), vol. 12, no. 4 ISTINA record doi
  2. 2026 Minimal Fillings of Finite Metric Spaces and Convex Polyhedra Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2607.27211, pp. 1-14 ISTINA record doi
  3. 2026 Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces Adams Henry, Bogatyi Semeon A., Frick Florian, Ilyukhin Daniil A., Ivanov Alexander O., Mikhailov Ivan N., Tuzhilin Alexey A., Vikhrov Anton A In: ArXiv e-prints, pp. 1-19 ISTINA record doi
  4. 2026 Continuous Gromov–Hausdorff distance Bogaty Semeon A., Tuzhilin Alexey A In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, published by Vladimir Andrunachievici Institute of Mathematics and Computer Science (Moldova), vol. 108, no. 2-3, pp. 78-103 ISTINA record
  5. 2026 Foundations of the theory of the continuous Gromov–Hausdorff distance Bogaty S.A., Tuzhilin A.A In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 27, no. 1, pp. 19-50 ISTINA record
  6. 2026 Classical and continuous Gromov-Hausdorff distances Semenov K.V., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2603.26428, pp. 1-11 ISTINA record
  7. 2026 Mazur-Ulam Theorem With Gromov-Hausdorff Distance Bogaty S.A., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2602.15525, pp. 1-14 ISTINA record
  8. 2025 Surjective Mappings in the Hyers--Ulam Theorem and the Gromov--Hausdorff Distance Bogatyi S.A., Reznichenko E.A., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2512.22776 [math.MG], pp. 1-12 ISTINA record
  9. 2025 Curves in hyperspaces obtained by intersection of -neighborhoods with a fixed subset Galstyan Arsen, Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:2512.06327, pp. 1-17 ISTINA record
  10. 2025 Fundamentals of Theory of Continuous Gromov--Hausdorff distance Bogaty Semeon A., Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:2512.02611, pp. 1-29 ISTINA record
  11. 2025 Anatoly Fomenko Bolsinov Alexey Viktorovich, Dobrovolsky Nikolay Mikhailovich, Ivanov Alexander Olegovich, Kudryavtseva E., Oshemkov Andrey , Popelensky Fedor Yurievich, Tuzhilin A., Chubarikov Vladimir Nikolaevich, Shafarevich Andrey Igorevich, Manturov V.A In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 26, no. 2, pp. 4-6 ISTINA record doi
  12. 2025 Clouds with a trivial stabilizer Bogataya S.I., Bogaty S.A., Redkozubov V.V., Tuzhilin A.A In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 4, pp. 58-61 ISTINA record doi
  13. 2025 Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes Ivanov A.O., Lychagina E.S., Tuzhilin A.A In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 46, no. 3, pp. 1087-1097 ISTINA record doi
  14. 2024 Metric Space Recognition by Gromov-Hausdorff Distances to Simplexes Ivanov A.O., Lychagina E.S., Tuzhilin A.A In: ArXiv e-prints ISTINA record
  15. 2024 Gromov-Hausdorff Geometry of Metric Trees Ivanov A.O., Mikhailov I.N., Tuzhilin A.A In: ArXiv e-prints ISTINA record
  16. 2024 When the Gromov-Hausdorff distance between finite-dimensional space and its subset is finite? Mikhailov I.N., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2411.13539, pp. 1-6 ISTINA record
  17. 2024 When the Gromov-Hausdorff Distance Between Finite-Dimensional Space and Its Subset Is Finite? Tuzhilin A.A., Mikhailov I.N In: Communications in Mathematical Research, published by Jilin University (China), no. 0, pp. 1-8 ISTINA record doi
  18. 2024 Embeddings to rectilinear space and Gromov-Hausdorff distances Ivanov A.O., Tuzhilin A.A In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), pp. 1-13 ISTINA record doi
  19. 2023 Action of a similarity transformation on families of metric spaces Bogaty S.A., Tuzhilin A.A In: Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, published by VINITI (Moscow), vol. 223, pp. 3-13 ISTINA record
  20. 2023 Hausdorff Implementation of Linear Geodesics in the Gromov–Hausdorff Space Ivanov A.O., Tuzhilin A.A In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 277 ISTINA record doi
  21. 2023 Clouds in Gromov–Hausdorff class: Their completeness and centers Bogataya S.I., Bogatyy S.A., Redkozubov V.V., Tuzhilin A.A In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 329 ISTINA record doi
  22. 2023 Path connectivity of spheres in the Gromov–Hausdorff class Ivanov A., Tsvetnikov R., Tuzhilin A In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 329 ISTINA record doi
  23. 2023 Computing the Gromov–Hausdorff distance by means of the Borsuk number Ivanov A.O., Tuzhilin A.A In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 1, pp. 33-38 ISTINA record doi
  24. 2022 Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff class Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 213, no. 10, pp. 1400-1414 ISTINA record doi
  25. 2022 Gromov–Hausdorff distance between interval and circle Ji Y., Tuzhilin A.A In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 307 ISTINA record doi
  26. 2022 Isometric embedding of bounded metric spaces into the Gromov–Hausdorff class Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 10, pp. 90-107 ISTINA record doi
  27. 2022 Geormtry of the Gromov-Hausdorff Distance on the Class of all Metric Spaces Borzov Stanislav Igorevich, Ivanov Alexandr Olegovich, Tuzhilin Alexey Avgustinovich In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 213, no. 5 ISTINA record doi
  28. 2022 Geometry of the Gromov–Hausdorff distance on the class of all metric spaces Borzov S.I., Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 5, pp. 68-87 ISTINA record doi
  29. 2022 Calculating Gromov-Hausdorff Distance by means of Borsuk Number Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2203.04030 [math.MG] ISTINA record
  30. 2022 Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2203.02904 [math.MG] ISTINA record
  31. 2022 Clouds in Gromov-Hausdorff Class: their completeness and centers Bogataya S.I., Bogatyy S.A., Redkozubov V.V., Tuzhilin A.A In: ArXiv e-prints, no. 2202.07337 [math.MG]. ISTINA record
  32. 2021 Path Connectivity of Spheres in the Gromov-Hausdorff Class Ivanov A.O., Tsvetnikov R.A., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2111.06709, pp. 1-16 ISTINA record
  33. 2021 Gromov-Hausdorff class: its completeness and cloud geometry Bogaty Semeon A., Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:2110.06101, pp. 1-13 ISTINA record
  34. 2021 The Fermat-Steiner problem in the space of compact subsets of R^m endowed with the Hausdorff metric Galstyan A.Kh, Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 212, no. 1, pp. 25-56 ISTINA record doi
  35. 2021 The Fermat–Steiner problem in the space of compact subsets of R^m endowed with the Hausdorff metric Galstyan A.Kh., Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 212, no. 1, pp. 28-62 ISTINA record doi
  36. 2021 Gromov-Hausdorff Distance Between Segment and Circle Yibo Ji, Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:2101.05762 [math.MG] ISTINA record
  37. 2020 Anatoly Fomenko Bolsinov A.V., Dobrovolsky N.M., Ivanov A.O., Kudryavtseva E.A., Oshemkov A.A., Popelensky F.Yu., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 21, no. 2, pp. 5-7 ISTINA record doi
  38. 2020 Working from Home. 2 Months 8 Months and Still Counting… Andrew James Bruce, Grabowska Katarzyna, Millionshchikov Dmitry, Salnikov Vladimir, Tuzhilin Alexey In: Newsletter of the European Mathematical Society, published by EMS Publishing House (Zürich, Switzerland), vol. 12, pp. 65-67 ISTINA record doi
  39. 2020 Lectures on Hausdorff and Gromov-Hausdorff Distance Geometry Tuzhilin A.A In: ArXiv e-prints, no. arXiv:2012.00756 [math.MG] ISTINA record
  40. 2020 Nonparametric estimations and the diffeological Fisher metric Van Le Hong, Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:2011.13418 [math.ST] ISTINA record
  41. 2020 Hausdorff realization of linear geodesics of the Gromov–Hausdorff space, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. i ee Pril. Temat. Obz. Ivanov A.O., Tuzhilin A.A In: Itogi Nauki i Tekhniki. Series "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory", vol. 182, pp. 33-38 ISTINA record doi
  42. 2020 Analytic Deformations of Minimal Networks Ivanov A.O., Tuzhilin A.A In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 248, no. 5, pp. 621-635 ISTINA record doi
  43. 2020 Gromov-Hausdorff Distances to Simplexes and Some Applications to Discrete Optimisation Ivanov A.O., Tuzhilin A.A In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 21, no. 2, pp. 169-189 ISTINA record doi
  44. 2019 Isometry Group of Gromov-Hausdorff Space Tuzhilin A.A., Ivanov A.O In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), vol. 71, no. 1-2, pp. 123-154 ISTINA record
  45. 2019 Gromov–Hausdorff distance to simplexes Grigoriev D.S., Ivanov A.O., Tuzhilin A.A In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 20, no. 2, pp. 100-114 ISTINA record doi
  46. 2019 The Gromov-Hausdorff Distance between Simplexes and Two-Distance Spaces Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, arXiv:1907.09942 ISTINA record
  47. 2019 The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints: arXiv:1907.03828 ISTINA record
  48. 2019 Steiner Problem in the Gromov-Hausdorff Space: The Case of Finite Metric Spaces Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A In: Proceedings of the Steklov Institute of Mathematics, published by Springer Verlag (Germany), vol. 304, no. 1, pp. 88-96 ISTINA record doi
  49. 2019 Steiner type ratios of Gromov–Hausdorff space Ivanov A.O., Tuzhilin A.A In: European Journal of Combinatorics, published by Academic Press (United States), vol. 80, pp. 172-183 ISTINA record doi
  50. 2019 Solution to Generalized Borsuk Problem in Terms of the Gromov–Hausdorff Distances to Simplexes Ivanov Alexander O., Tuzhilin Alexey A In: ArXiv e-prints, arXiv:1906.10574 ISTINA record
  51. 2019 Gromov–Hausdorff Distance to Simplexes Grigor'ev Dmitriy S., Ivanov Alexander O., Tuzhilin Alexey A In: ArXiv e-prints, arXiv:1906.09644 ISTINA record
  52. 2019 Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Space Alexander Ivanov, Alexey Tuzhilin In: ArXiv e-prints: arXiv:1907.03828 ISTINA record
  53. 2019 Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space Alexander Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1904.09281 ISTINA record
  54. 2019 Isometry group of Gromov-Hausdorff space Ivanov A.O., Tuzhilin A.A In: Matematicki Vesnik, published by Drustvo Matematicara SR Srbije (Serbia), vol. 71, no. 1-2, pp. 123-154 ISTINA record
  55. 2018 Analytic deformations of minimal networks Ivanov A.O., Tuzhilin A.A In: Fundamental and Applied Mathematics, published by Knorus Publishing House (Moscow), vol. 21, no. 5, pp. 159-180 ISTINA record
  56. 2018 Isometry Group of Gromov-Hausdorff Space Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:1806.02100 ISTINA record
  57. 2017 Geometry of Gromov-Hausdorff metric space Ivanov A., Tuzhilin A In: Bulletin de l'Académie Internationale CONCORDE, no. 3, pp. 47-57 ISTINA record
  58. 2017 The Steiner problem in the Gromov–Hausdorff space: the case of finite metric spaces Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A In: Trudy Instituta Matematiki i Mekhaniki UrO RAN, published by Institute of Mathematics and Mechanics (Ekaterinburg), vol. 23, no. 4, pp. 152-161 ISTINA record doi
  59. 2017 Analyzing the Data Bank of Proteins Space Structures (PDB): A Geometrical Approach Vilkul E.A., Ivanov A.O., Mishchenko A.S., Popelensky Th Yu, Tuzhilin A.A., Shaitan k.V In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 225, no. 4, pp. 555-564 ISTINA record doi
  60. 2017 Local Structure of Gromov-Hausdorff Space Around Generic Finite Metric Spaces Ivanov A., Tuzhilin A In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 38, no. 6, pp. 998-1006 ISTINA record doi
  61. 2017 Computer models in geometry and dynamics Vedyushkina V.V., Ivanov A.O., Tuzhilin A.A., Fomenko A.T In: Intelligent Systems. Theory and Applications, published by Intelligent Systems Ltd. (Moscow), vol. 21, no. 2 ISTINA record
  62. 2017 Hausdorff Measure: Lost in Translation Tuzhilin A.A In: ArXiv e-prints, no. 1710.08272 ISTINA record
  63. 2017 Minimal Spanning Trees on Infinite Sets Ivanov A.O., Tuzhilin A.A In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 223, no. 6, pp. 711-719 ISTINA record doi
  64. 2017 Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space Iliadis S., Ivanov A., Tuzhilin A In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 221, pp. 393-398 ISTINA record doi
  65. 2017 Fermat-Steiner Problem in the metric space of compact sets endowed with Hausdorff distance Ivanov A.O., Tropin A.M., Tuzhilin A.A In: Journal of Geometry, published by Birkhauser Verlag (Switzerland), vol. 108, no. 2, pp. 575-590 ISTINA record doi
  66. 2016 The Gromov–Hausdorff metric on the space of metric compacta is strictly intrinsic Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 100, no. 6, pp. 947-950 ISTINA record doi
  67. 2016 Who Invented the Gromov-Hausdorff Distance? Alexey Tuzhilin In: ArXiv e-prints, no. 1612.00728, pp. 1-7 ISTINA record
  68. 2016 Local Structure of Gromov-Hausdorff Space near Finite Metric Spaces in General Position Ivanov Alexander O., Alexey Tuzhilin In: ArXiv e-prints, no. 1611.04484, pp. 1-10 ISTINA record
  69. 2016 The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic Ivanov A.O., Nikolaeva N.K., Tuzhilin A.A In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 100, no. 6, pp. 171-173 ISTINA record doi
  70. 2016 Geometry of Compact Metric Space in Terms of Gromov-Hausdorff Distances to Regular Simplexes Ivanov Alexander O., Tuzhilin Alexey A In: ArXiv e-prints, no. arXiv:1607.06655 ISTINA record
  71. 2016 Calculation of Minimum Spanning Tree Edges Lengths using Gromov-Hausdorff Distance Alexey Tuzhilin In: ArXiv e-prints, no. 1605.01566 ISTINA record
  72. 2016 Steiner Ratio and Steiner-Gromov Ratio of Gromov-Hausdorff Space Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1605.01094 ISTINA record
  73. 2016 Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space Stavros Iliadis, Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.07615 ISTINA record
  74. 2016 Gromov-Hausdorff Distance, Irreducible Correspondences, Steiner Problem, and Minimal Fillings Alexandr Ivanov, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.06116 ISTINA record
  75. 2016 Steiner Problem in Gromov-Hausdorff Space: the Case of Finite Metric Spaces Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin In: ArXiv e-prints, no. 1604.02170 ISTINA record
  76. 2016 Realizations of Gromov-Hausdorff Distance Alexandr Ivanov, Stavros Iliadis, Alexey Tuzhilin In: ArXiv e-prints, no. 1603.08850 ISTINA record
  77. 2016 Fermat-Steiner Problem in the Metric Space of Compact Sets endowed with Hausdorff Distance Alexandr Ivanov, Alexandr Tropin, Alexey Tuzhilin In: ArXiv e-prints, no. 1601.03852 ISTINA record
  78. 2016 Branched Coverings and Steiner Ratio Ivanov A.O., Tuzhilin A.A In: International transactions in operational research : a journal of The International Federation of Operational Research Societies, published by Blackwell Publishers (Oxford, UK, England), vol. 23, pp. 875-882 ISTINA record doi
  79. 2015 Academician Anatoly Fomenko Zelikin M.I., Ivanov Alexander Olegovich, Kashin B.S., Mishchenko A.S., Nesterenko Yuri Valentinovich, Oshemkov A.A., Popelensky F.Yu., Sadovnichy V.A., Tuzhilin A.A., Chubarikov V.N., Shafarevich A.I., Shiryaev A.N In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 6, pp. 66-68 ISTINA record
  80. 2015 A geometric approach to the analysis of the Protein Data Bank (PDB) Vilkul E.A., Ivanov A.O., Mishchenko A.S., Popelensky F.Yu., Tuzhilin A.A., Shaytan K.V In: Fundamental and Applied Mathematics, published by Knorus Publishing House (Moscow), vol. 20, no. 3, pp. 33-46 ISTINA record
  81. 2015 Minimal spanning trees on infinite sets Ivanov A.O., Tuzhilin A.A In: Fundamental and Applied Mathematics, published by Knorus Publishing House (Moscow), vol. 20, no. 2, pp. 89-103 ISTINA record
  82. 2015 Conformations of a hinged chain as a model of protein folding Vilkul E.A., Ivanov A.O., Tuzhilin A.A In: Nanostructures. Mathematical Physics and Modelling, vol. 13, no. 2, pp. 25-42 ISTINA record
  83. 2015 Conformations of a hinged chain as a model of protein folding Vilkul E.A., Ivanov A.O., Tuzhilin A.A In: Nanostructures. Mathematical Physics and Modelling, vol. 13, no. 2 ISTINA record
  84. 2015 Analytic Deformations of Minimal Networks Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. 1506:07140 ISTINA record
  85. 2015 The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic Alexandr Ivanov, Nadezhda Nikolaeva, Alexey Tuzhilin In: ArXiv e-prints, no. arXiv:1504.03830, 2015 ISTINA record
  86. 2014 Geometry of amino acids and polypeptides: the case of X-ray structural analysis Vilkul E.A., Tuzhilin A.A In: Nanostructures. Mathematical Physics and Modelling, vol. 11, no. 2, pp. 5-27 ISTINA record
  87. 2014 Branched Coverings and Steiner Ratio Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. arXiv:1412.5433 ISTINA record
  88. 2014 Geometry of amino acids and polypeptides Ivanov A.O., Mishchenko A.S., Tuzhilin A.A In: Nanostructures. Mathematical Physics and Modelling, vol. 10, no. 1, pp. 49-75 ISTINA record
  89. 2014 Geometry of polygonal lines and polypeptides Ivanov A.O., Mishchenko A.S., Tuzhilin A.A In: Nanostructures. Mathematical Physics and Modelling, vol. 10, no. 1, pp. 39-48 ISTINA record
  90. 2014 Stabilization of a locally minimal forest Ivanov A.O., Melnikova A.E., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 205, no. 3, pp. 1-32 ISTINA record doi
  91. 2014 Stabilization of a locally minimal forest Ivanov A.O., Melnikova A.E., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 205, no. 3, pp. 83-118 ISTINA record doi
  92. 2014 Minimal Spanning Trees on Infinite Sets Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. 1403.3831 ISTINA record
  93. 2014 Du-Hwang Characteristic Area: Catch-22, Ivanov A.O., Tuzhilin A.A In: ArXiv e-prints, no. 1402.6079 [math.MG] ISTINA record
  94. 2013 Gromov minimal fillings for finite metric spaces Ivanov A.O., Alexey Tuzhilin In: Publications de l’Institut Mathématique Nouvelle série, vol. 94, pp. 3-15 ISTINA record doi
  95. 2013 A new valve design Oganesyan A.A., Tuzhilin A.A In: Valve World Magazine, vol. 18, no. 6, pp. 61-66 ISTINA record
  96. 2012 One-dimensional minimal fillings with negative edge weights Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 67, no. 5-6, pp. 189-194 ISTINA record doi
  97. 2012 The structure of minimal Steiner trees in the neighborhoods of the lunes of their edges Ivanov A.O., S″edina O.A., Tuzhilin A.A In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 91, no. 3, pp. 339-353 ISTINA record doi
  98. 2012 One-dimensional Gromov minimal filling problem Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 203, no. 5, pp. 677-726 ISTINA record doi
  99. 2012 The geometry of inner spanning trees for planar polygons Ivanov A.O., Tuzhilin A.A In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 76, no. 2, pp. 215-244 ISTINA record doi
  100. 2012 One-dimensional minimal fillings with negative edge weights Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 5, pp. 3-8 ISTINA record
  101. 2012 Structure of minimal Steiner trees in neighbourhoods of the holes of their edges Ivanov A.O., Sedina O.A., Tuzhilin A.A In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 91, no. 3, pp. 353-370 ISTINA record doi
  102. 2012 Geometry of interior spanning trees for planar polygons Ivanov A.O., Tuzhilin A.A In: Izvestiya: Mathematics, vol. 76, no. 2, pp. 3-36 ISTINA record doi
  103. 2012 Gromov's one-dimensional problem on minimal fillings Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 203, no. 5, pp. 65-118 ISTINA record doi
  104. 2012 The Steiner ratio Gilbert-Pollak conjecture is still open Ivanov A.O., Tuzhilin A.A In: Algorithmica (New York), published by Springer Verlag (Germany), vol. 62, no. 1-2, pp. 630-632 ISTINA record doi
  105. 2011 One-dimensional minimal fillings with negative edge weights Ivanov A.O., Ovsyannikov Z.N., Strelkova N.P., Tuzhilin A.A In: Electronic arXiv http://arxiv.org/abs/arXiv:1101.3014v1 ISTINA record
  106. 2011 One-dimensional Gromov minimal filling Ivanov A.O., Tuzhilin A.A In: Electronic arXiv http://arxiv.org/abs/arXiv:1101.0106v2 ISTINA record
  107. 2011 The Length of a Minimal Tree With a Given Topology: generalization of Maxwell Formula Ivanov A.O., Tuzhilin A.A In: Electronic arXiv http://arxiv.org/abs/1101.2117 ISTINA record doi
  108. 2011 Steiner Ratio for Manifolds Cieslik D., Ivanov A.O., Tuzhilin A.A In: Electronic arXiv http://arxiv.org/abs/1101.3144 ISTINA record doi
  109. 2011 Computer modeling of curves and surfaces Ivanov A.O., Tuzhilin A.A., Fomenko A.T In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 172, no. 5, pp. 663-689 ISTINA record doi
  110. 2010 Length of a minimal tree of a given topology: a generalized Maxwell formula Ivanov A.O., Tuzhilin A.A In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 3, pp. 7-14 ISTINA record
  111. 2010 Generalized Maxwell formula for the length of a minimal tree with a given topology Ivanov A.O., Tuzhilin A.A In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 65, no. 3, pp. 100-106 ISTINA record doi
  112. 2009 Geometric models in biology: how and what can be modelled, Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M In: Scientific Visualization, published by MEPhI (Moscow), vol. 1, no. 1, pp. 66-99 ISTINA record
  113. 2009 Stabilization of locally minimal trees Ivanov A.O., Tuzhilin A.A In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 86, no. 4, pp. 512-524 ISTINA record doi
  114. 2009 Computer modelling of curves and surfaces Ivanov A.O., Tuzhilin A.A., Fomenko A.T In: Fundamental and Applied Mathematics, published by Knorus Publishing House (Moscow), vol. 15, no. 5, pp. 63-94 ISTINA record
  115. 2009 Stabilization of locally minimal trees Ivanov A.O., Tuzhilin A.A In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 86, no. 4, pp. 483-492 ISTINA record doi
  116. 2008 Immersed polygons and their diagonal triangulations Ivanov A.O., Tuzhilin A.A In: Izvestiya: Mathematics, vol. 72, no. 1, pp. 67-98 ISTINA record doi
  117. 2008 Immersed polygons and their diagonal triangulations Ivanov A.O., Tuzhilin A.A In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 72, no. 1, pp. 63-90 ISTINA record doi
  118. 2007 Geometry of space curves and applications to polymers conformations investigation Ivanov A.O., Mishchenko A.S., Tuzhilin A.A In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 9, no. 2, pp. 43-63 ISTINA record
  119. 2006 Uniqueness of the minimal Steiner tree for boundaries in general position Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 197, no. 9, pp. 55-90 ISTINA record doi
  120. 2006 Uniqueness of Steiner minimal trees on boundaries in general position Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 197, no. 9, pp. 1309-1340 ISTINA record doi
  121. 2005 Modelling of cell proliferation control as a stage in the search for effective antitumour agents Ivanov A.O., Tuzhilin A.A., Bozhenko V.K., Shishkin A.M., Belle T.S In: Vestnik RNTsRR, no. 4 ISTINA record
  122. 2005 Sets admitting connection by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 196, no. 6, pp. 71-110 ISTINA record doi
  123. 2005 Sets admitting connection by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 196, no. 6, pp. 845-884 ISTINA record doi
  124. 2004 Non-trivial example of a boundary set in Generalized Steiner Problem constructed with the help of Computer Geometry and Visualization Ivanov A.O., Tuzhilin A.A In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 6, no. 1, pp. 75-99 ISTINA record
  125. 2003 Steiner ratio for manifolds Ivanov A.O., Tuzhilin A.A., Tsislik D In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 74, no. 3, pp. 387-395 ISTINA record doi
  126. 2003 Steiner Ratio for Manifolds Ivanov A.O., Tuzhilin A.A., Cieslik D In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 74, no. 3, pp. 367-374 ISTINA record doi
  127. 2002 Branching geodesics in normed spaces Ivanov A.O., Tuzhilin A.A In: Izvestiya: Mathematics, vol. 66, no. 5, pp. 33-82 ISTINA record doi
  128. 2002 Melzak's algorithm in phylogenetic spaces Ivanov A.O., Tuzhilin A.A., Tsislik D In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 3, pp. 22-28 ISTINA record
  129. 2002 Planar Manhattan local minimal and critical networks Ivanov Alexandr O., Van Le Hong, Tuzhilin Alexey A In: European Journal of Combinatorics, published by Academic Press (United States), vol. 23, no. 8, pp. 949-967 ISTINA record doi
  130. 2002 Branching geodesics in normed spaces Ivanov A.O., Tuzhilin A.A In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 66, no. 5, pp. 905-948 ISTINA record doi
  131. 2001 Low Dimensional Geometrical Variational Problems in Large Fomenko A.T., Ivanov A.O., Tuzhilin A.A In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 3, no. 2, pp. 1-24 ISTINA record
  132. 2001 Extreme Networks Ivanov A.O., Tuzhilin A.A In: Acta Applicandae Mathematicae, published by Springer Nature (Switzerland), vol. 66, no. 3, pp. 251-317 ISTINA record doi
  133. 2001 Differential calculus on the space of minimal Steiner trees in Riemannian manifolds Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 192, no. 6, pp. 31-50 ISTINA record doi
  134. 2001 Nontrivial critical networks. Singularities of Lagrangians and a criticality criterion Ivanov A.O., Hong Van Le, Tuzhilin A.A In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 69, no. 4, pp. 566-580 ISTINA record doi
  135. 2001 Linear networks and convex polyhedra Ivanov A.O., Tuzhilin A.A In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 104, no. 4, pp. 1283-1288 ISTINA record doi
  136. 2001 Extreme networks Ivanov Alexandr O., Tuzhilin Alexey A In: Acta Applicandae Mathematicae, published by Springer Nature (Switzerland), vol. 66, no. 3, pp. 251-317 ISTINA record doi
  137. 2001 Nontrivial critical networks. Singularities of Lagrangians and a criterion for criticality Ivanov A.O., Hong Van Le, Tuzhilin A.A In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 69, no. 4, pp. 514-526 ISTINA record doi
  138. 2001 Differential calculus on the space of Steiner minimal trees in Riemannian manifolds Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 192, no. 6, pp. 823-841 ISTINA record doi
  139. 2000 Steiner ratio for Riemannian manifolds Ivanov A.O., Tuzhilin A.A., Tsislik D In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 55, no. 6, pp. 139-140 ISTINA record doi
  140. 2000 Steiner ratio for Riemannian manifolds Ivanov A.O., Tuzhilin A.A., Cieslik D In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 55, no. 6, pp. 1150-1151 ISTINA record doi
  141. 1999 Planar Manhattan Local Minimal And Critical Networks Ivanov A.O., Hong Van Le, Tuzhilin A.A In: Educational Internet-Journal "Computer Graphics & Geometry, vol. 1, no. 1, pp. 25-49 ISTINA record
  142. 1999 The space of mutually parallel linear networks with a fixed boundary Ivanov A.O., Tuzhilin A.A In: Izvestiya: Mathematics, vol. 63, no. 5, pp. 83-126 ISTINA record doi
  143. 1999 Geometry of convex polygons and of locally minimal binary trees spanning them Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 190, no. 1, pp. 69-108 ISTINA record doi
  144. 1999 Geometry of convex polygons and locally minimal binary trees spanning these polygons Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 190, no. 1, pp. 71-110 ISTINA record doi
  145. 1999 The space of parallel linear networks with a fixed boundary Ivanov A.O., Tuzhilin A.A In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 63, no. 5, pp. 923-962 ISTINA record doi
  146. 1998 Geometry of planar trees with straight-line edges Ivanov A.O., Tuzhilin A.A In: Moscow University Bulletin, published by the Editorial Board (Moscow) ISTINA record
  147. 1997 Minimal binary trees with a regular boundary: The case of skeletons with five endpoints Tuzhilin A.A In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 61, no. 6, pp. 758-769 ISTINA record doi
  148. 1997 Geometry of the set of minimal networks of a given topology with a fixed boundary Ivanov A.O., Tuzhilin A.A In: Izvestiya: Mathematics, vol. 61, no. 6, pp. 119-152 ISTINA record doi
  149. 1997 Minimal binary trees with a regular boundary: the case of skeletons with five ends Tuzhilin A.A In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 61, no. 6, pp. 906-921 ISTINA record doi
  150. 1997 Geometry and topology of local minimal 2-trees Ivanov A.O., Tuzhilin A.A In: Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, vol. 28, no. 1, pp. 103-139 ISTINA record doi
  151. 1997 The geometry of minimal networks with a given topology and a fixed boundary Ivanov A.O., Tuzhilin A.A In: Izvestiya. Mathematics, published by American Mathematical Society (United States), vol. 61, no. 6, pp. 1231-1263 ISTINA record doi
  152. 1996 Structure of the set of planar minimal networks with given topology and boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 3, pp. 553-554 ISTINA record doi
  153. 1996 On minimal binary trees with a regular boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 1, pp. 144-145 ISTINA record doi
  154. 1996 Minimal binary trees with regular boundary: the case of sceletons with four ends Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 187, no. 4, pp. 581-622 ISTINA record doi
  155. 1996 Structure of the set of planar minimal networks with given topology and boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 51, no. 3, pp. 201-202 ISTINA record doi
  156. 1996 Complete classification of locally minimal binary trees with a regular boundary whose dual triangulations are skeletons Tuzhilin A.A In: Fundamental and Applied Mathematics, published by Knorus Publishing House (Moscow), vol. 2, no. 2, pp. 511-562 ISTINA record
  157. 1996 Minimal binary trees with a regular boundary: the case of skeletons with four ends Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 187, no. 4, pp. 117-159 ISTINA record doi
  158. 1996 The twist number of planar linear trees Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 187, no. 8, pp. 41-92 ISTINA record doi
  159. 1996 The geometry of plane linear trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 51, no. 2, pp. 161-162 ISTINA record doi
  160. 1996 The classification of minimal skeletons with a regular boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 51, no. 4, pp. 157-158 ISTINA record doi
  161. 1996 On minimal binary trees with a regular boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 51, no. 1, pp. 139-140 ISTINA record doi
  162. 1996 The geometry of plane linear trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 2, pp. 329-330 ISTINA record doi
  163. 1996 The twist number of planar linear trees Ivanov A.O., Tuzhilin A.A In: Sbornik Mathematics, published by London Mathematical Society (United Kingdom), vol. 187, no. 8, pp. 1149-1195 ISTINA record doi
  164. 1996 The classification of minimal skeletons with a regular boundary Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 51, no. 4, pp. 734-735 ISTINA record doi
  165. 1995 Weighted minimal binary trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 50, no. 3, pp. 623-624 ISTINA record doi
  166. 1995 Weighted minimal binary trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 50, no. 3, pp. 155-156 ISTINA record
  167. 1994 Some problems concerning minimal networks Ivanov A.O., Tuzhilin A.A In: International Journal of Shape Modeling, published by World Scientific Publishing Co (Singapore), vol. 1, no. 1, pp. 81-107 ISTINA record
  168. 1994 Topologies of locally minimal planar binary trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 49, no. 6, pp. 191-192 ISTINA record
  169. 1994 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A In: Russian Academy of Sciences. Sbornik. Mathematics, vol. 77, no. 2, pp. 391-425 ISTINA record doi
  170. 1994 Topologies of locally minimal planar binary trees Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 49, no. 6, pp. 201-202 ISTINA record doi
  171. 1993 Minimal networks on regular polygons: realization of linear parquets Ivanov A.O., Iskhakov I.V., Tuzhilin A.A In: Moscow University Bulletin, published by the Editorial Board (Moscow), no. 6, pp. 77-81 ISTINA record
  172. 1993 The Steiner problem in the plane or in plane minimal nets Ivanov A.O., Tuzhilin A.A In: Mathematics of the USSR - Izvestiya, vol. 74, no. 2, pp. 555-582 ISTINA record doi
  173. 1992 Morse-type indices of two-dimensional minimal surfaces in R^3 and H^3 Tuzhilin A.A In: Mathematics of the USSR - Izvestiya, vol. 38, no. 3, pp. 575-598 ISTINA record doi
  174. 1992 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 183, no. 12, pp. 3-44 ISTINA record
  175. 1992 Geometry of minimal networks and the one-dimensional Plateau problem Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 47, no. 2, pp. 53-115 ISTINA record
  176. 1992 Geometry of minimal networks and the one-dimensional Plateau problem Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 47, no. 2, pp. 59-131 ISTINA record doi
  177. 1991 The Steiner problem on the plane, or planar minimal networks Ivanov A.O., Tuzhilin A.A In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 182, no. 12, pp. 1813-1844 ISTINA record
  178. 1991 Morse type indices of two-dimensional minimal surfaces in R^3 and H^3 Tuzhilin A.A In: Izvestiya Akademii Nauk SSSR, Seriya Matematicheskaya, no. 3, pp. 581-607 ISTINA record
  179. 1990 Solution of the Steiner problem for convex boundaries Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 45, no. 2, pp. 214-215 ISTINA record doi
  180. 1990 Solution of the Steiner problem for convex boundaries Ivanov A.O., Tuzhilin A.A In: Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk), published by Nauka Publishing House (Moscow), vol. 45, no. 2, pp. 207-208 ISTINA record
  181. 1990 Computer computations in geometric CAD problems Ivanov A.O., Trofimov V.V., Tuzhilin A.A., Fomenko A.T In: Proceedings of the Seminar on Vector and Tensor Analysis, vol. 24, pp. 70-80 ISTINA record
  182. 1989 On a deformation of a manifold decreasing its volume at maximal rate Ivanov A.O., Tuzhilin A.A In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 3, pp. 14-18 ISTINA record
  183. 1986 Multi-valued mappings, minimal surfaces and soap films Tuzhilin A.A., Fomenko A.T In: Moscow University Mathematics Bulletin (Vestnik Moskovskogo Universiteta. Seriya 1: Matematika. Mekhanika), published by Moscow University Press (Moscow), no. 3, pp. 3-12 ISTINA record

Book chapters and collected papers

26 records

  1. 2021 Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Spaces Ivanov A.O., Tuzhilin A.A In: Trends in Mathematics, published by Springer International Publishing AG (Cham, Switzerland), pp. 165-182 ISTINA record doi
  2. 2021 Nonparametric Estimations and the Diffeological Fisher Metric Lê Hông Vân, Tuzhilin Alexey A In: Springer Proceedings in Mathematics & Statistics, published by Springer International Publishing (New York), pp. 120-138 ISTINA record doi
  3. 2016 Minimal Networks: A Review Ivanov A.O., Tuzhilin A.A In: Advances in Dynamical Systems and Control, series Studies in Systems, Decision and Control, Springer Switzerland, vol. 69, pp. 43-80, ed. V.A. Sadovnichy ISTINA record doi
  4. 2015 Critical Analysis of Amino Acids and Polypeptides Geometry Ivanov Alexander O., Mishchenko Alexander S., Tuzhilin Alexey A In: Continuous and Distributed Systems: Theory and Applications, Springer, vol. 2, pp. 29-74 ISTINA record
  5. 2014 Minimal fillings of finite metric spaces: The state of the art Ivanov A.O., Tuzhilin A.A In: Discrete Geometry and Algebraic Combinatorics, series Contemporary Mathematics, published by AMS Press (United States), vol. 625, pp. 9-35 ISTINA record doi
  6. 2014 Minimal networks. A survey of results Ivanov A.O., Tuzhilin A.A In: A.A. Tuzhilin, A.T. Fomenko, "Elements of the Geometry and Topology of Minimal Surfaces", 2nd ed., Klassicheskii Uchebnik MGU series, LENAND, Moscow, pp. 172-240 ISTINA record
  7. 2013 Optimal networks Ivanov A.O., Tuzhilin A.A In: First Yaroslavl Summer School on Discrete and Computational Geometry, Delaunay Library series, Publishing House of Demidov Yaroslavl State University, Yaroslavl, vol. 1, pp. 60-110 ISTINA record
  8. 2011 Minimal fillings of pseudometric spaces Ivanov A.O., Tuzhilin A.A., Eremin A.Yu., Erokhovets E.S., Ovsyannikov Z.N., Pakhomova A.S., Rubleva O.V., Strelkova N.P., Filonenko E.I In: Proceedings of the Seminar on Vector and Tensor Analysis with Applications to Geometry, Mechanics and Physics, Faculty of Mechanics and Mathematics, Moscow State University, vol. 27, pp. 83-105, ed. A.A. Oshemkov ISTINA record
  9. 2011 Determination of Different Biological Factors on the Base of Dried Blood Spot Technology Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M In: arXiv.1112.3899v2[hep-th], series Series arxive "math", Cornell University, Ithaca N.Y., United States Ithaca N.Y., USA, vol. 1112 ISTINA record
  10. 2010 Some recent results in minimal networks theory Tuzhilin A.A In: Special Session Dedicated to Professor Andrey Borisovich, Gdansk, Poland ISTINA record
  11. 2009 Geometric modelling in biology: a search for possible approaches Bozhenko V.K., Ivanov A.O., Mishchenko A.S., Tuzhilin A.A., Shishkin A.M In: Collection of Papers Dedicated to the Anniversary of V.A. Sadovnichy ISTINA record
  12. 2009 The optimal connection problem Ivanov A.O., Tuzhilin A.A In: Collection of Papers Dedicated to the Anniversary of V.A. Sadovnichy ISTINA record
  13. 2005 Geometry of trees of finite length in metric spaces Ivanov A.O., Nikonov I.M., Tuzhilin A.A In: Proceedings of the Seminar on Vector and Tensor Analysis, Moscow State University, Moscow, vol. 26, pp. 178-200 ISTINA record
  14. 2003 Visual Topology and Variational Problems on Two-Dimensional Surfaces Fomenko A.T., Ivanov A.O., Tuzhilin A.A In: Mathematics and Culture. II. Visual Parfection: Mathematics and Creativity, published by Springer Verlag (Germany), pp. 99-123 ISTINA record
  15. 2002 The Steiner ratio. The state of the art Ivanov A.O., Tuzhilin A.A In: Mathematical Problems of Cybernetics, Mathematical Problems of Cybernetics series, Moscow: Fizmatlit, vol. 11, pp. 27-48, ed. K.A. Zykov ISTINA record
  16. 1998 Linear networks and convex polyhedra Ivanov A.O., Tuzhilin A.A In: Geometry and Topology. 3, Zapiski Nauchnykh Seminarov POMI series, POMI, St. Petersburg, vol. 252, pp. 52-61 ISTINA record
  17. 1993 The Steiner problem for convex boundaries, general case Ivanov A.O., Tuzhilin A.A In: Minimal surfaces, series Advances in Soviet Mathematics, Amer. Math. Soc Providence, RI, vol. 15, pp. 15-92 ISTINA record
  18. 1993 Global properties of minimal surfaces in R^3 and H^3 and their Morse type indices Tuzhilin A.A In: Minimal surfaces, series Advances in Soviet Mathematics, Amer. Math. Soc Providence, RI, vol. 15, pp. 193-233 ISTINA record
  19. 1993 On the Index of Minimal Surfaces Tuzhilin A.A In: Proceedings of the Steklov Institute of Mathematics, series Proceedings of the Steklov Institute of Mathematics, pp. 203-208 ISTINA record
  20. 1993 The Steiner problem for convex boundaries. II. The regular case Ivanov A.O., Tuzhilin A.A In: Minimal surfaces, series Advances in Soviet Mathematics, Amer. Math. Soc Providence, RI, vol. 15, pp. 93-131 ISTINA record
  21. 1992 Classification of closed minimal networks on flat two-dimensional tori Ivanov A.O., Ptitsyna I.V., Tuzhilin A.A In: Selected Problems of Algebra, Geometry and Discrete Mathematics, Moscow State University, Moscow, pp. 47-53 ISTINA record
  22. 1992 Algorithmic problems of the calculus of variations. The Steiner problem and minimal networks on the plane and on surfaces Ivanov A.O., Tuzhilin A.A In: Handbook of Discrete Mathematics ISTINA record
  23. 1990 Two-dimensional minimal surfaces and their indices Tuzhilin A.A In: Mathematical Methods in Mechanics, Moscow State University, Moscow, pp. 89-92 ISTINA record
  24. 1988 Indices of two-dimensional minimal surfaces in R^3 Tuzhilin A.A In: Selected Problems of Algebra, Geometry and Discrete Mathematics, Moscow State University, Moscow, pp. 123-128 ISTINA record
  25. 1987 Indices of two-dimensional minimal surfaces Tuzhilin A.A In: Geometry and Singularity Theory in Nonlinear Equations, Voronezh State University, Voronezh, pp. 170-176 ISTINA record
  26. 1986 On the bifurcation of certain two-dimensional minimal surfaces under a two-parameter variation of the contour Tuzhilin A.A In: Geometry, Differential Equations and Mechanics, Moscow State University, Moscow, pp. 140-145 ISTINA record

Books, textbooks and preprints

20 records

  1. 2026 Mathematical Models of Economics. Part 2: Economic Equilibrium Nikonov I.M., Trofimov V.V., Tuzhilin A.A published by MAKS Press (Moscow), ISBN 978-5-317-07570-5, 120 pp. ISTINA record
  2. 2024 Computer Geometry: A Practical Course. 2nd edition, revised and enlarged Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T URSS, LENAND, Moscow, ISBN 978-5-9519-4804-5, 384 pp. ISTINA record
  3. 2023 Computer Geometry: A Practical Course Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T URSS, Moscow, ISBN 978-5-9710-9647-4, 376 pp. ISTINA record
  4. 2022 Elements of the Geometry and Topology of Minimal Surfaces Tuzhilin A.A., Fomenko A.T URSS, Moscow, ISBN 978-5-9519-2840-5, 256 pp. ISTINA record
  5. 2018 The Steiner problem: an approach via geometric measure theory Ivanov A.O., Tuzhilin A.A Publishing House of the Board of Trustees of the Faculty of Mechanics and Mathematics, Moscow State University, Moscow, ISBN 978-5-9500628-2-7, 116 pp. ISTINA record
  6. 2018 Geometric Measure Theory, Part 1 Ivanov A.O., Tuzhilin A.A Publishing House of the Board of Trustees of the Faculty of Mechanics and Mathematics, Moscow State University, Moscow, ISBN 978-5-9500628-0-3, 165 pp. ISTINA record
  7. 2017 Geometry of the Hausdorff and Gromov–Hausdorff distances: the case of compacta Ivanov Alexander Olegovich, Tuzhilin A.A Publishing House of the Board of Trustees of the Faculty of Mechanics and Mathematics, Moscow State University, Moscow, ISBN 978-5-9500628-1-0, 111 pp. ISTINA record
  8. 2014 A Course of Visual Geometry and Topology Oshemkov A.A., Popelensky F.Yu., Tuzhilin A.A., Fomenko A.T., Shafarevich A.I URSS Publishing House, LENAND, Moscow, ISBN 978-5-9710-0970-2, 360 pp. ISTINA record
  9. 2014 Elements of the Geometry and Topology of Minimal Surfaces Tuzhilin A.A., Fomenko A.T URSS, Moscow, ISBN 978-5-9710-0878-1, 256 pp. ISTINA record
  10. 2012 Mathematical Models of Economics. Spring Semester Nikonov I.M., Tuzhilin A.A Publishing House of the Board of Trustees of the Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 120 pp. ISTINA record
  11. 2010 Computer Geometry. A Practical Course Ivanov A.O., Ilyutko D.P., Nosovsky G.V., Tuzhilin A.A., Fomenko A.T Internet University of Information Technologies, Moscow, ISBN 978-5-9556-0117-5, 391 pp. ISTINA record
  12. 2009 Lectures on Classical Differential Geometry Ivanov A.O., Tuzhilin A.A Universitetskaya Kniga, Logos, Moscow, ISBN 978-5-98704-301-8, 224 pp. ISTINA record
  13. 2005 Mathematical Models of Economics Trofimov V.V., Tuzhilin A.A. ISTINA record
  14. 2003 Theory of Extremal Networks Ivanov A.O., Tuzhilin A.A Regular and Chaotic Dynamics, Moscow–Izhevsk: Institute of Computer Research, ISBN 5-93972-292-X, 424 pp. ISTINA record
  15. 2001 Branching solutions to one-dimensional variational problems Ivanov A.O., Tuzhilin A.A World Scientific Publishing Co. Inc River Edge, NJ, ISBN 981-02-4060-0, 364 pp. ISTINA record doi
  16. 1999 Branching Geodesics. The Geometric Theory of Locally Minimal Networks Ivanov A.O., Tuzhilin A.A Lewiston, Queenston, Lampeter: The Edwin Mellen Press ISTINA record
  17. 1997 Planar Local Minimal Binary Trees with Convex, Quasiregular, and Regular Boundaries (Preprint) Ivanov A.O., Tuzhilin A.A Sonderforschungsbereich 256 Rheinische Friedrich-Wilhelms-Universität Bonn, 73 pp. ISTINA record
  18. 1994 Minimal networks: The Steiner problem and its generalizations Ivanov Alexandr O., Tuzhilin Alexei A CRC Press Boca Raton, FL, ISBN 0-8493-8642-X, 442 pp. ISTINA record
  19. 1991 Elements of the Geometry and Topology of Minimal Surfaces in Three-Dimensional Space Fomenko A.T., Tuzhilin A.A American Mathematical Soc, ISBN 0821837915, 9780821837917, 142 pp. ISTINA record
  20. 1991 Elements of the Geometry and Topology of Minimal Surfaces Tuzhilin A.A., Fomenko A.T Nauka Publishing House, Moscow, 176 pp. ISTINA record

Conference abstracts

14 records

  1. 2010 Minimal fillings in the sense of M.Gromov for finite metric spaces Ivanov A.O., Tuzhilin A.A In: International Conference “Metric Geometry of surfaces and polyhedra” dedicated to 100th anniversary of N.V.Efimov, abstracts ISTINA record
  2. 2010 One-dimensional branched minimal fillings of finite metric spaces Ivanov A.O., Tuzhilin A.A In: 2010 International conference on topology and its applications, June 26-30, Nafpaktos, Greece, abstracts ISTINA record
  3. 2009 Infinite subsets of metric spaces which can be spanned by finite length trees Tuzhilin A.A In: International Conference C*-algebras and elliptic theory, III, abstracts ISTINA record
  4. 2008 Steiner ratio of Riemannian manifolds Tuzhilin A.A In: "Differential Equations and Topology", International Conference Dedicated to the 100th Anniversary of the Birth of L.S. Pontryagin (Moscow, 17–22 June 2008), MAKS Press, Moscow, abstracts ISTINA record
  5. 2005 Using adaptive discrete dynamical maps of gene–protein networks to search for critical factors of cell proliferation control Shishkin A.M., Tuzhilin A.A., Mishchenko A.S., Bozhenko V.K., Belle T.S In: Proceedings of the VI All-Russian Congress of Oncologists, Rostov-on-Don, abstracts, pp. 2-178 ISTINA record
  6. 2004 Using adaptive discrete dynamical maps of gene–protein networks to search for critical factors of cell proliferation control Ivanov A.O., Tuzhilin A.A., Bozhenko V.K., Shishkin A.M., Belle T.S In: 3rd Congress of Oncologists of the CIS, abstracts ISTINA record
  7. 2002 Minimal trees in phylogenetic spaces Ivanov A.O., Tuzhilin A.A In: Proceedings of the Third International Conference on Bioinformatics of Genome Regulation and Structure, Novosibirsk, abstracts ISTINA record
  8. 2002 Calculus for Steiner minimal spanning trees Tuzhilin A.A In: In Proceedeings of Second Russian-German Geometry Meeting dedicated to 90-anniversary of A.D.Alexandrov, St.-Petersburg, abstracts ISTINA record
  9. 2001 Steiner ratio of Riemannian manifolds Tuzhilin A.A In: Proceedings of the International Conference Dedicated to the 100th Anniversary of the Birth of I.G. Petrovsky "Differential Equations and Related Problems", abstracts ISTINA record
  10. 1998 Planar local minimal networks with convex boundaries Tuzhilin A.A In: Proc. of ICM-98, Berlin, abstracts, pp. 286-286 ISTINA record
  11. 1987 About indices of minimal surfaces Tuzhilin A.A In: Baku International Topological Conference, Baku, abstracts, pp. 201-201 ISTINA record
  12. 1987 On a deformation of a manifold decreasing its volume at maximal rate and its application in gravitation theory Ivanov A.O., Tuzhilin A.A In: All-Union Conference on Geometry "in the Large", abstracts, pp. 50-50 ISTINA record
  13. 1987 Computing indices of minimal surfaces Tuzhilin A.A In: All-Union Conference on Geometry "in the Large", abstracts, pp. 123-123 ISTINA record
  14. 1986 Bifurcations of minimal surfaces under variation of the contour Tuzhilin A.A In: Modern Problems of Mechanics and Mechanical Engineering Technology, VINITI, Moscow, abstracts, pp. 61-61 ISTINA record

Conference talks

31 records

  1. 2026 Continuous Gromov-Hausdorff distance (invited talk) Author: Tuzhilin A.A XXIII Geometrical Seminar, Zlatibor, Serbia, Serbia, 30 August - 5 September 2026
  2. 2026 The Gromov–Hausdorff distance in graph theory and combinatorial geometry (plenary talk) Authors: Ivanov A.O., Tuzhilin A.A 15th International Scientific Seminar "Discrete Mathematics and Its Applications" named after Acad. O.B. Lupanov, Moscow, Lomonosov Moscow State University, Russia, 22 June - 26 July 2026
  3. 2024 Geometry of Gromov--Hausdorff Class: Introduction and Some Recent Results. (oral talk) Author: Tuzhilin Alexey A Conference on Geometry, Integrable Systems and Statistics, Wuhan, China, 23-26 October 2024
  4. 2024 Some Recent Results on Geometry of Gromov-Hausdorff Distsnce. (oral talk) Author: Tuzhilin A.A Harbin Institute of Technology and Top Russian Universities Autumn Workshop, Harbin Institute of Technology, China, 21 October 2024
  5. 2024 Gromov-Hausdorff Distance and Geometric Optimization Problems (invited talk) Author: Tuzhilin Alexey Augustinovich XXII Geometrical Seminar May 26 - 31, 2024, Vrnjaˇcka Banja, Serbia, Vrnjaˇcka Banja, Serbia, Serbia, 26-31 May 2024
  6. 2022 On Geometry of Gromov-Hausdorff Class (plenary talk) Author: Tuzhilin A.A The First Al-Khorezmi International Conference on Modern Problems of Mathematics, July 25-28, 2022, Urgench, Uzbekistan, 25-28 July 2022
  7. 2022 Isometric Embeddings into Gromov-Hausdorff Class (invited talk) Author: Tuzhilin A.A XXI geometrical seminar, Belgrade, Serbia, 26 June - 2 July 2022
  8. 2021 Action of the similarity group on the family of clouds of the proper Gromov–Hausdorff class (plenary talk) Authors: Tuzhilin A.A., Bogaty S.A., Ivanov A.O December Readings in Tomsk – 2021, Tomsk State University, Russia, 6-11 December 2021
  9. 2021 The Gromov–Hausdorff class: its completeness and the geometry of clouds (invited talk) Authors: Bogaty S.A., Tuzhilin A.A International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Levon Sergeevich Atanasyan, Faculty of Mathematics, Moscow State Pedagogical University, Russia, 1-4 November 2021
  10. 2021 Action of the similarity group on clouds of the proper Gromov–Hausdorff class (invited talk) Authors: Tuzhilin A.A., Bogaty S.A International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Levon Sergeevich Atanasyan, Faculty of Mathematics, Moscow State Pedagogical University, Russia, 1-4 November 2021
  11. 2021 Extendability of Metric Segments in Gromov--Hausdorff Distance (invited talk) Authors: Ivanov A.O., Tuzhilin A.A International Conference on Topology and Its Applications Dedicated to the 100th Anniversary of the Birth of Yu.M. Smirnov, Faculty of Mechanics and Mathematics, Moscow State University, Russia, 20-22 September 2021
  12. 2019 Geometry of the Gromov–Hausdorff distance (plenary talk) Author: Tuzhilin A.A Classical and Modern Geometry, Moscow, Russia, 22-25 April 2019
  13. 2018 On geometry of Gromov–Hausdorff space (plenary talk) Author: Tuzhilin A.A International Conference "Geometry Days in Novosibirsk – 2018", Sobolev Institute of Mathematics SB RAS, Novosibirsk State University, Russia, 19-22 September 2018
  14. 2018 Gromov Hausdorff Space, its symmetries (invited talk) Author: Tuzhilin A.A 2018 International Conference on Topology and its Applications, Nafpaktos, Greece, 7-11 July 2018
  15. 2018 Symmetries in Gromov-Hausdorff Space (invited talk) Author: Tuzhilin A.A XX Geometrical Seminar, Vrnjacka Banja, Serbia, 20-24 May 2018
  16. 2017 A practical course in computer geometry (invited talk) Author: Tuzhilin A.A Joint Meeting of the Federal Educational and Methodological Association in Mathematics and Mechanics and the Federal Educational and Methodological Association in Informatics and Computer Sciences, Moscow State University, Russia, 9-12 October 2017
  17. 2016 Geometry of Gromov-Hausdorff Space (invited talk) Author: Alexey Tuzhilin 4-th International Workshop on Analysis, Probability and Geometry, Moscow, Russia, 26 September - 1 October 2016
  18. 2016 Geometry of Gromov-Hausdorff space and optimal networks (invited talk) Author: Alexey Tuzhilin XIX Geometrical seminar, Zlatibor (Serbia), August 28 - September 4 2016., Zlatibor, Serbia., Serbia, 28 August - 4 September 2016
  19. 2016 On Geometry of Gromov-Hausdorff Metric Space (oral talk) Author: Alexey Tuzhilin Glances at Manifolds II Group actions, K-Theory, C*-algebras and Topology of Manifolds, Krakow, Poland, 8-12 August 2016
  20. 2015 Applications of geometry in cell molecular biology (oral talk) Author: Tuzhilin A.A International Conference "Mathematics in the Life of Society: Achievements, Problems, Prospects", Lomonosov Moscow State University, Lomonosov Building, Russia, 23-25 April 2015
  21. 2014 Optimal Networks: applications to different networks models (oral talk) Authors: Ivanov A.O., Tuzhilin A.A Application of Mathematical Methods in Earth Sciences, Moscow State University, Faculty of Mechanics and Mathematics, Russia, 17-19 November 2014
  22. 2014 Steiner ratio problem and infinite boundaries (invited talk) Author: Tuzhilin A.A International Workshop "Probability, Analysis and Geometry", Moscow State University, Moscow, Russia, 2014
  23. 2013 Stabilization along a regular curve (oral talk) Authors: Mironova M.A., Tuzhilin A.A Lomonosov Readings – 2013, Moscow, Russia, 24-27 April 2013
  24. 2013 On the configuration space for shortest networks (oral talk) Authors: Strelkova N.P., Tuzhilin A.A Lomonosov Readings – 2013, Moscow, Russia, 24-27 April 2013
  25. 2013 The problem of partial stabilization of an arbitrary finite number of locally minimal trees in a finite-dimensional Euclidean space (oral talk) Authors: Melnikova A.E., Tuzhilin A.A Lomonosov Readings – 2013, Moscow, Russia, 24-27 April 2013
  26. 2013 Geometrical optimization problems with one-dimensional branching extremals (invited talk) Author: Tuzhilin A.A Workshop "Probability, Analysis and Geometry", Ulm (Germany), Germany, 2013
  27. 2012 Stabilization theorems for minimal networks. (oral talk) Author: Tuzhilin A.A 4th Conference in Discrete Geometry and Algebraic Combinatorics, South Padre Island, Texas, USA, April 16-30, 2012, South Padre Island, Texas, USA, 2012
  28. 2012 Minimal fillings of finite metric spaces (oral talk) Authors: Tuzhilin A.A., Ivanov A.O International topological conference "Alexandroff readings", Moscow, Russia, 2012
  29. 2012 One-dimensional Gromov minimal fillings (oral talk) Author: Tuzhilin A.A XVII geometrical seminar, Zlatibor, Serbia, Serbia, 2012
  30. 2010 Minimal fillings in the sense of M.Gromov for finite metric spaces (oral talk) Authors: Ivanov A.O., Tuzhilin A.A International Conference “Metric Geometry of surfaces and polyhedra” dedicated to 100th anniversary of N.V.Efimov, Moscow, Russia, 2010
  31. 2010 One-dimensional branched minimal fillings of finite metric spaces (oral talk) Authors: Ivanov A.O., Tuzhilin A.A 2010 International Conference on Topology and its Applications, June 26-30, Nafpaktos, Greece, Greece, 2010