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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. O. Ivanov, A. A. Tuzhilin, “Calculation of the Gromov–Hausdorff distance using the Borsuk number”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 1, 33–38 ; Moscow University Mathematics Bulletin, 78:1 (2023), 37–43 |
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2022 |
2. |
A. O. Ivanov, G. V. Nosovskiy, V. A. Kibkalo, M. A. Nikulin, F. Yu. Popelensky, D. A. Fedoseev, I. V. Gribushin, V. V. Zlobin, S. S. Kuzin, I. L. Mazurenko, “Recognition of anomalies of an a priori unknown type”, Chebyshevskii Sb., 23:5 (2022), 227–240 |
3. |
A. O. Ivanov, A. A. Tuzhilin, “Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff class”, Mat. Sb., 213:10 (2022), 90–107 ; Sb. Math., 213:10 (2022), 1400–1414 |
1
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4. |
S. I. Borzov, A. O. Ivanov, A. A. Tuzhilin, “Geometry of the Gromov-Hausdorff distance on the class of all metric spaces”, Mat. Sb., 213:5 (2022), 68–87 ; Sb. Math., 213:5 (2022), 641–658 |
2
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2021 |
5. |
A. Kh. Galstyan, A. O. Ivanov, A. A. Tuzhilin, “The Fermat-Steiner problem in the space of compact subsets of $\mathbb R^m$ endowed with the Hausdorff metric”, Mat. Sb., 212:1 (2021), 28–62 ; Sb. Math., 212:1 (2021), 25–56 |
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2020 |
6. |
A. O. Ivanov, A. A. Tuzhilin, “Gromov–Hausdorff distances to simplexes and some applications to discrete optimisation”, Chebyshevskii Sb., 21:2 (2020), 169–189 |
7. |
A. O. Ivanov, A. A. Tuzhilin, “Hausdorff realization of linear geodesics in the Gromov–Hausdorff space”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182 (2020), 33–38 |
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2019 |
8. |
D. S. Grigor'ev, A. O. Ivanov, A. A. Tuzhilin, “The Gromov–Hausdorff distances to simplexes”, Chebyshevskii Sb., 20:2 (2019), 108–122 |
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2017 |
9. |
V. V. Vedyushkina, A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Компьютерные модели в геометрии и динамике”, Intelligent systems. Theory and applications, 21:1 (2017), 164–191 |
1
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10. |
A. O. Ivanov, N. K. Nikolaeva, A. A. Tuzhilin, “Steiner's problem in the Gromov–Hausdorff space: the case of finite metric spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017), 152–161 ; Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S88–S96 |
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2016 |
11. |
A. O. Ivanov, A. A. Tuzhilin, “Analytic deformations of minimal networks”, Fundam. Prikl. Mat., 21:5 (2016), 159–180 ; J. Math. Sci., 248:5 (2020), 621–635 |
2
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12. |
A. O. Ivanov, N. K. Nikolaeva, A. A. Tuzhilin, “The Gromov–Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic”, Mat. Zametki, 100:6 (2016), 947–950 ; Math. Notes, 100:6 (2016), 883–885 |
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2015 |
13. |
E. A. Vilkul, A. O. Ivanov, A. S. Mishchenko, Th. Yu. Popelenskii, A. A. Tuzhilin, K. V. Shaytan, “Analyzing the data bank of proteins' space structures (PDB): a geometrical approach”, Fundam. Prikl. Mat., 20:3 (2015), 33–46 ; J. Math. Sci., 225:4 (2017), 555–564 |
14. |
A. O. Ivanov, A. A. Tuzhilin, “Minimal spanning trees on infinite sets”, Fundam. Prikl. Mat., 20:2 (2015), 89–103 ; J. Math. Sci., 223:6 (2017), 711–719 |
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2014 |
15. |
A. O. Ivanov, A. E. Mel'nikova, A. A. Tuzhilin, “Stabilization of a locally minimal forest”, Mat. Sb., 205:3 (2014), 83–118 ; Sb. Math., 205:3 (2014), 387–418 |
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2012 |
16. |
A. O. Ivanov, A. A. Tuzhilin, “The geometry of inner spanning trees for planar polygons”, Izv. RAN. Ser. Mat., 76:2 (2012), 3–36 ; Izv. Math., 76:2 (2012), 215–244 |
17. |
N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii, “Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov)”, Model. Anal. Inform. Sist., 19:6 (2012), 92–100 |
18. |
H. Edelsbrunner, A. Ivanov, R. Karasev, “Current Open Problems in Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:5 (2012), 5–17 |
4
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19. |
N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, “The First Yaroslavl Summer School on Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:4 (2012), 168–173 |
20. |
A. O. Ivanov, O. A. S'edina, A. A. Tuzhilin, “The Structure of Minimal Steiner Trees in the Neighborhoods of the Lunes of Their Edges”, Mat. Zametki, 91:3 (2012), 353–370 ; Math. Notes, 91:3 (2012), 339–353 |
2
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21. |
A. O. Ivanov, A. A. Tuzhilin, “One-dimensional Gromov minimal filling problem”, Mat. Sb., 203:5 (2012), 65–118 ; Sb. Math., 203:5 (2012), 677–726 |
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22. |
A. O. Ivanov, Z. N. Ovsyannikov, N. P. Strelkova, A. A. Tuzhilin, “One-dimensional minimal fillings with negative edge weights”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 3–8 ; Moscow University Mathematics Bulletin, 67:5-6 (2012), 189–194 |
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2010 |
23. |
A. O. Ivanov, A. A. Tuzhilin, “Generalized Maxwell formula for the length of a minimal tree with a given topology”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 3, 7–14 |
1
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2009 |
24. |
A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Computer modeling of curves and surfaces”, Fundam. Prikl. Mat., 15:5 (2009), 63–94 ; J. Math. Sci., 172:5 (2011), 663–689 |
4
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25. |
A. O. Ivanov, A. A. Tuzhilin, “Stabilization of Locally Minimal Trees”, Mat. Zametki, 86:4 (2009), 512–524 ; Math. Notes, 86:4 (2009), 483–492 |
4
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2008 |
26. |
A. O. Ivanov, A. A. Tuzhilin, “Immersed polygons and their diagonal triangulations”, Izv. RAN. Ser. Mat., 72:1 (2008), 67–98 ; Izv. Math., 72:1 (2008), 63–90 |
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2006 |
27. |
A. O. Ivanov, A. A. Tuzhilin, “Uniqueness of Steiner minimal trees on boundaries
in general position”, Mat. Sb., 197:9 (2006), 55–90 ; Sb. Math., 197:9 (2006), 1309–1340 |
7
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2005 |
28. |
A. O. Ivanov, I. M. Nikonov, A. A. Tuzhilin, “Sets admitting connection by graphs of finite length”, Mat. Sb., 196:6 (2005), 71–110 ; Sb. Math., 196:6 (2005), 845–884 |
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2003 |
29. |
A. O. Ivanov, A. A. Tuzhilin, D. Cieslik, “Steiner Ratio for Manifolds”, Mat. Zametki, 74:3 (2003), 387–395 ; Math. Notes, 74:3 (2003), 367–374 |
14
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2002 |
30. |
A. O. Ivanov, A. A. Tuzhilin, “Branching geodesics in normed spaces”, Izv. RAN. Ser. Mat., 66:5 (2002), 33–82 ; Izv. Math., 66:5 (2002), 905–948 |
7
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31. |
A. O. Ivanov, A. A. Tuzhilin, D. Cieslik, “Melzak's algorithm for phylogenetic spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 3, 22–28 |
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2001 |
32. |
A. O. Ivanov, A. A. Tuzhilin, Lê Hông Vân, “Nontrivial Critical Networks. Singularities of Lagrangians and a Criterion for Criticality”, Mat. Zametki, 69:4 (2001), 566–580 ; Math. Notes, 69:4 (2001), 514–526 |
2
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33. |
A. O. Ivanov, A. A. Tuzhilin, “Differential calculus on the space of Steiner minimal trees in Riemannian manifolds”, Mat. Sb., 192:6 (2001), 31–50 ; Sb. Math., 192:6 (2001), 823–841 |
5
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34. |
A. O. Ivanov, V. L. Hong, A. A. Tuzhilin, “Planar Manhattan local minimal and critical networks”, Zap. Nauchn. Sem. POMI, 279 (2001), 111–140 ; J. Math. Sci. (N. Y.), 119:1 (2004), 55–70 |
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2000 |
35. |
A. O. Ivanov, A. A. Tuzhilin, D. Cieslik, “Steiner ratio for Riemannian manifolds”, Uspekhi Mat. Nauk, 55:6(336) (2000), 139–140 ; Russian Math. Surveys, 55:6 (2000), 1150–1151 |
4
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1999 |
36. |
A. O. Ivanov, A. A. Tuzhilin, “The space of parallel linear networks with a fixed boundary”, Izv. RAN. Ser. Mat., 63:5 (1999), 83–126 ; Izv. Math., 63:5 (1999), 923–962 |
37. |
A. O. Ivanov, A. A. Tuzhilin, “Geometry of convex polygons and locally minimal binary trees spanning these polygons”, Mat. Sb., 190:1 (1999), 69–108 ; Sb. Math., 190:1 (1999), 71–110 |
1
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1998 |
38. |
A. O. Ivanov, A. A. Tuzhilin, “Linear nets and convex polyhedra”, Zap. Nauchn. Sem. POMI, 252 (1998), 52–61 ; J. Math. Sci. (New York), 104:4 (2001), 1283–1288 |
1
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1997 |
39. |
A. O. Ivanov, A. A. Tuzhilin, “The geometry of minimal networks with a given topology and a fixed boundary”, Izv. RAN. Ser. Mat., 61:6 (1997), 119–152 ; Izv. Math., 61:6 (1997), 1231–1263 |
5
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1996 |
40. |
A. O. Ivanov, “Minimal weighted planar binary trees”, Fundam. Prikl. Mat., 2:2 (1996), 375–409 |
3
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41. |
A. O. Ivanov, A. A. Tuzhilin, “The classification of minimal skeletons with a regular boundary”, Uspekhi Mat. Nauk, 51:4(310) (1996), 157–158 ; Russian Math. Surveys, 51:4 (1996), 734–735 |
1
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42. |
A. O. Ivanov, A. A. Tuzhilin, “Structure of the set of planar minimal networks with given topology and boundary”, Uspekhi Mat. Nauk, 51:3(309) (1996), 201–202 ; Russian Math. Surveys, 51:3 (1996), 553–554 |
1
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43. |
A. O. Ivanov, A. A. Tuzhilin, “The geometry of plane linear trees”, Uspekhi Mat. Nauk, 51:2(308) (1996), 161–162 ; Russian Math. Surveys, 51:2 (1996), 329–330 |
3
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44. |
A. O. Ivanov, A. A. Tuzhilin, “On minimal binary trees with a regular boundary”, Uspekhi Mat. Nauk, 51:1(307) (1996), 139–140 ; Russian Math. Surveys, 51:1 (1996), 144–145 |
1
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45. |
A. O. Ivanov, A. A. Tuzhilin, “The twist number of planar linear trees”, Mat. Sb., 187:8 (1996), 41–92 ; Sb. Math., 187:8 (1996), 1149–1195 |
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1995 |
46. |
A. O. Ivanov, A. A. Tuzhilin, “Weighted minimal binary trees”, Uspekhi Mat. Nauk, 50:3(303) (1995), 155–156 ; Russian Math. Surveys, 50:3 (1995), 623–624 |
8
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47. |
A. O. Ivanov, “The geometry of plane locally minimal binary trees”, Mat. Sb., 186:9 (1995), 45–76 ; Sb. Math., 186:9 (1995), 1271–1301 |
6
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1994 |
48. |
A. O. Ivanov, A. A. Tuzhilin, “Topologies of locally minimal planar binary trees”, Uspekhi Mat. Nauk, 49:6(300) (1994), 191–192 ; Russian Math. Surveys, 49:6 (1994), 201–202 |
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1993 |
49. |
A. O. Ivanov, I. V. Iskhakov, A. A. Tuzhilin, “Minimal networks on regular polygons: realization of linear tilingsMinimal networks on regular polygons: realization of linear tilings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 6, 77–80 |
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1992 |
50. |
A. O. Ivanov, A. A. Tuzhilin, “Geometry of minimal networks and the one-dimensional Plateau problem”, Uspekhi Mat. Nauk, 47:2(284) (1992), 53–115 ; Russian Math. Surveys, 47:2 (1992), 59–131 |
30
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51. |
A. O. Ivanov, I. V. Ptitsyna, A. A. Tuzhilin, “Classification of closed minimal networks on flat two-dimensional tori”, Mat. Sb., 183:12 (1992), 3–44 ; Russian Acad. Sci. Sb. Math., 77:2 (1994), 391–425 |
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1991 |
52. |
A. O. Ivanov, “Sufficient condition for stability of invariant cones of any codimension in Euclidean space $R^N$”, Mat. Zametki, 49:1 (1991), 151–153 ; Math. Notes, 49:1 (1991), 109–110 |
53. |
A. O. Ivanov, A. A. Tuzhilin, “The Steiner problem in the plane or in plane minimal nets”, Mat. Sb., 182:12 (1991), 1813–1844 ; Math. USSR-Sb., 74:2 (1993), 555–582 |
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1990 |
54. |
A. O. Ivanov, A. A. Tuzhilin, “Solution of the Steiner problem for convex boundaries”, Uspekhi Mat. Nauk, 45:2(272) (1990), 207–208 ; Russian Math. Surveys, 45:2 (1990), 214–215 |
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55. |
A. O. Ivanov, “Calibration forms and new examples of stable and globally minimal surfaces”, Mat. Sb., 181:11 (1990), 1443–1463 ; Math. USSR-Sb., 71:2 (1992), 289–308 |
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1989 |
56. |
A. O. Ivanov, A. A. Tuzhilin, “Deformation of a manifold that decreases volume at maximum rate”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 3, 14–18 |
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2023 |
57. |
A. I. Shafarevich, V. N. Chubarikov, A. L. Semenov, V. M. Buchstaber, A. O. Ivanov, V. M. Tikhomirov, Vl. P. Vizgin, V. G. Chirskii, V. V. Kozlov, M. V. Kozlov, E. A. Zaytsev, G. S. Smirnova, V. N. Chinenova, N. M. Dobrovolsky, “Sergey Sergeevich Demidov (to the 80-th anniversary of his birth)”, Chebyshevskii Sb., 24:1 (2023), 334–355 |
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2022 |
58. |
A. R. Rustanov, A.M. Shelekhov, O. E. Arsen'eva, V. F. Kirichenko, M. P. Burlakov, M. B. Banaru, N. I. Guseva, S. V. Kharitonova, A. O. Ivanov, V. N. Chubarikov, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii, “In memory of Vadim Fedorovich Kirichenko”, Chebyshevskii Sb., 23:1 (2022), 328–329 |
59. |
A. I. Shafarevich, A. T. Fomenko, V. N. Chubarikov, A. O. Ivanov, V. G. Chirskii, V. I. Bernik, V. A. Bykovskii, A. I. Galochkin, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovolsky, N. N. Dobrovolsky, I. Yu. Rebrova, V. Kh. Salikhov, “Yuri Valentinovich Nesterenko (to the 75th anniversary)”, Chebyshevskii Sb., 23:1 (2022), 10–20 |
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2021 |
60. |
A. I. Shafarevich, V. N. Chubarikov, D. O. Orlov, A. O. Ivanov, A. V. Mikhalev, V. G. Chirskii, A. Yu. Ol'shanskii, M. V. Zaicev, I. B. Kozhukhov, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, “In memory of Vyacheslav Alexandrovich Artamonov”, Chebyshevskii Sb., 22:5 (2021), 417–418 |
61. |
A. I. Shafarevich, A. T. Fomenko, A. O. Ivanov, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, “Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)”, Chebyshevskii Sb., 22:5 (2021), 5–15 |
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2020 |
62. |
A. Bolsinov, N. Dobrovol'skii, A. Ivanov, E. Kudryavtseva, A. Oshemkov, F. Popelenskii, A. Tuzhilin, V. Chubarikov, A. Shafarevich, “Anatolii Timofeevich Fomenko”, Chebyshevskii Sb., 21:2 (2020), 5–7 |
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2017 |
63. |
E. Deza, V. N. Chubarikov, V. G. Chirskii, N. M. Dobrovol'skii, A. O. Ivanov, E. I. Golubeva, I. Yu. Rebrova, N. N. Dobrovol'skii, “The memory of Michel Deza”, Chebyshevskii Sb., 18:1 (2017), 4–28 |
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2015 |
64. |
M. I. Zelikin, A. O. Ivanov, B. S. Kashin, A. S. Mishchenko, Yu. V. Nesterenko, A. A. Oshemkov, F. Yu. Popelenskii, V. A. Sadovnichii, A. A. Tuzhilin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, “Academician Anatolii Timofeevich Fomenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 66–68 |
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2013 |
65. |
A. Garber, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii, “International Conference “Geometry, Topology, and Applications””, Model. Anal. Inform. Sist., 20:6 (2013), 95–102 |
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Presentations in Math-Net.Ru |
1. |
Вычисление $\ell_1$-размерности через расстояние Громова–Хаусдорфа A. O. Ivanov, A. A. Tuzhilin
Differential geometry and applications March 11, 2024 16:45
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2. |
Геометрия облаков в классе Громова–Хаусдорфа S. A. Bogatyi, A. O. Ivanov, A. A. Tuzhilin
Differential geometry and applications March 21, 2022 16:45
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3. |
Геометрия класса Громова-Хаусдорфа A. O. Ivanov, A. A. Tuzhilin
Differential geometry and applications September 14, 2020 17:45
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4. |
Minimal Fillings of Finite Metric Spaces and Dual Problem of Linear Programming A. O. Ivanov
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 17, 2019 12:00
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5. |
Геометрия оптимальных сетей A. A. Tuzhilin, A. O. Ivanov
Mathematical modeling of traffic flows November 15, 2014 16:00
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6. |
Minimal Fillings of Finite Metric Spaces A. O. Ivanov
Discrete and Computational Geometry November 13, 2013 13:00
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7. |
Local structure of minimal trees in Alexandrov spaces E. A. Zaval'nyuk, A. O. Ivanov
Differential geometry and applications April 22, 2013 16:45
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8. |
Критерий непрерывности отношений типа Штейнера в пространстве Громова–Хаусдорфа A. O. Ivanov, A. C. Pahkomova
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics April 15, 2013 18:30
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9. |
Суботношение Штейнера пространства $р$-адических чисел Erokhovets Alyona Sergeevna, A. O. Ivanov
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics April 15, 2013 18:30
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