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Ivanov Alexandr Olegovich

Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 41
Presentations: 5

Number of views:
This page:1305
Abstract pages:11633
Full texts:3572
References:1051
Associate professor
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 14.08.1963
E-mail: ,
Keywords: differential geometry; topological variational problems; extreme networks; branching geodesics; Steiner problem; Steiner ratio; mathimatical biology.
   
Main publications:
  • A. O. Ivanov and A. A. Tuzhilin. The Steiner problem and its generalizations, BocaRaton, Ann Arbor, London, Tokyo: CRC Press, 1994.
  • A. O. Ivanov and A. A. Tuzhilin. Branching Solutions to One-Dimensional Variational Problems, Singapore, New Jersey, London, Hong Kong: World Scientific Publ., 2001.

http://www.mathnet.ru/eng/person8349
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:ivanov.alexandr-o
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=248232

Publications in Math-Net.Ru
1. Steiner's problem in the Gromov–Hausdorff space: the case of finite metric spaces
A. O. Ivanov, N. K. Nikolaeva, A. A. Tuzhilin
Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017),  152–161
2. The Gromov–Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic
A. O. Ivanov, N. K. Nikolaeva, A. A. Tuzhilin
Mat. Zametki, 100:6 (2016),  947–950
3. Analyzing the data bank of proteins' space structures (PDB): a geometrical approach
E. A. Vilkul, A. O. Ivanov, A. S. Mishchenko, Th. Yu. Popelenskii, A. A. Tuzhilin, K. V. Shaytan
Fundam. Prikl. Mat., 20:3 (2015),  33–46
4. Minimal spanning trees on infinite sets
A. O. Ivanov, A. A. Tuzhilin
Fundam. Prikl. Mat., 20:2 (2015),  89–103
5. Stabilization of a locally minimal forest
A. O. Ivanov, A. E. Mel'nikova, A. A. Tuzhilin
Mat. Sb., 205:3 (2014),  83–118
6. The geometry of inner spanning trees for planar polygons
A. O. Ivanov, A. A. Tuzhilin
Izv. RAN. Ser. Mat., 76:2 (2012),  3–36
7. Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov)
N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii
Model. Anal. Inform. Sist., 19:6 (2012),  92–100
8. Current Open Problems in Discrete and Computational Geometry
H. Edelsbrunner, A. Ivanov, R. Karasev
Model. Anal. Inform. Sist., 19:5 (2012),  5–17
9. The First Yaroslavl Summer School on Discrete and Computational Geometry
N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin
Model. Anal. Inform. Sist., 19:4 (2012),  168–173
10. The Structure of Minimal Steiner Trees in the Neighborhoods of the Lunes of Their Edges
A. O. Ivanov, O. A. S'edina, A. A. Tuzhilin
Mat. Zametki, 91:3 (2012),  353–370
11. One-dimensional Gromov minimal filling problem
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 203:5 (2012),  65–118
12. Computer modeling of curves and surfaces
A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko
Fundam. Prikl. Mat., 15:5 (2009),  63–94
13. Stabilization of Locally Minimal Trees
A. O. Ivanov, A. A. Tuzhilin
Mat. Zametki, 86:4 (2009),  512–524
14. Immersed polygons and their diagonal triangulations
A. O. Ivanov, A. A. Tuzhilin
Izv. RAN. Ser. Mat., 72:1 (2008),  67–98
15. Uniqueness of Steiner minimal trees on boundaries in general position
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 197:9 (2006),  55–90
16. Sets admitting connection by graphs of finite length
A. O. Ivanov, I. M. Nikonov, A. A. Tuzhilin
Mat. Sb., 196:6 (2005),  71–110
17. Steiner Ratio for Manifolds
A. O. Ivanov, A. A. Tuzhilin, D. Cieslik
Mat. Zametki, 74:3 (2003),  387–395
18. Branching geodesics in normed spaces
A. O. Ivanov, A. A. Tuzhilin
Izv. RAN. Ser. Mat., 66:5 (2002),  33–82
19. Nontrivial Critical Networks. Singularities of Lagrangians and a Criterion for Criticality
A. O. Ivanov, A. A. Tuzhilin, Lê Hông Vân
Mat. Zametki, 69:4 (2001),  566–580
20. Differential calculus on the space of Steiner minimal trees in Riemannian manifolds
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 192:6 (2001),  31–50
21. Planar Manhattan local minimal and critical networks
A. O. Ivanov, V. L. Hong, A. A. Tuzhilin
Zap. Nauchn. Sem. POMI, 279 (2001),  111–140
22. Steiner ratio for Riemannian manifolds
A. O. Ivanov, A. A. Tuzhilin, D. Cieslik
Uspekhi Mat. Nauk, 55:6(336) (2000),  139–140
23. The space of parallel linear networks with a fixed boundary
A. O. Ivanov, A. A. Tuzhilin
Izv. RAN. Ser. Mat., 63:5 (1999),  83–126
24. Geometry of convex polygons and locally minimal binary trees spanning these polygons
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 190:1 (1999),  69–108
25. Linear nets and convex polyhedra
A. O. Ivanov, A. A. Tuzhilin
Zap. Nauchn. Sem. POMI, 252 (1998),  52–61
26. The geometry of minimal networks with a given topology and a fixed boundary
A. O. Ivanov, A. A. Tuzhilin
Izv. RAN. Ser. Mat., 61:6 (1997),  119–152
27. Minimal weighted planar binary trees
A. O. Ivanov
Fundam. Prikl. Mat., 2:2 (1996),  375–409
28. The classification of minimal skeletons with a regular boundary
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 51:4(310) (1996),  157–158
29. Structure of the set of planar minimal networks with given topology and boundary
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 51:3(309) (1996),  201–202
30. The geometry of plane linear trees
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 51:2(308) (1996),  161–162
31. On minimal binary trees with a regular boundary
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 51:1(307) (1996),  139–140
32. The twist number of planar linear trees
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 187:8 (1996),  41–92
33. Weighted minimal binary trees
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 50:3(303) (1995),  155–156
34. The geometry of plane locally minimal binary trees
A. O. Ivanov
Mat. Sb., 186:9 (1995),  45–76
35. Topologies of locally minimal planar binary trees
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 49:6(300) (1994),  191–192
36. Geometry of minimal networks and the one-dimensional Plateau problem
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 47:2(284) (1992),  53–115
37. Classification of closed minimal networks on flat two-dimensional tori
A. O. Ivanov, I. V. Ptitsyna, A. A. Tuzhilin
Mat. Sb., 183:12 (1992),  3–44
38. Sufficient condition for stability of invariant cones of any codimension in Euclidean space $R^N$
A. O. Ivanov
Mat. Zametki, 49:1 (1991),  151–153
39. The Steiner problem in the plane or in plane minimal nets
A. O. Ivanov, A. A. Tuzhilin
Mat. Sb., 182:12 (1991),  1813–1844
40. Solution of the Steiner problem for convex boundaries
A. O. Ivanov, A. A. Tuzhilin
Uspekhi Mat. Nauk, 45:2(272) (1990),  207–208
41. Calibration forms and new examples of stable and globally minimal surfaces
A. O. Ivanov
Mat. Sb., 181:11 (1990),  1443–1463

42. The memory of Michel Deza
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
Chebyshevskii Sb., 18:1 (2017),  4–28
43. International Conference “Geometry, Topology, and Applications”
A. Garber, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii
Model. Anal. Inform. Sist., 20:6 (2013),  95–102

Presentations in Math-Net.Ru
1. Геометрия оптимальных сетей
A. A. Tuzhilin, A. O. Ivanov
Mathematical modeling of traffic flows
November 15, 2014 16:00   
2. Minimal Fillings of Finite Metric Spaces.
A. O. Ivanov
Discrete and Computational Geometry
November 13, 2013 13:00
3. Local structure of minimal trees in Alexandrov spaces
E. A. Zaval'nyuk, A. O. Ivanov
Differential geometry and applications
April 22, 2013 16:45
4. 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
5. 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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