Persons: Babenko, Ivan Konstantinovich

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Babenko, Ivan Konstantinovich

Statistics
in MathSciNet:	46 (46)
in zbMATH:	28 (28)
in Web of Science:	23 (23)
in Scopus:	9 (9)

Professor

Doctor of physico-mathematical sciences

E-mail:

Keywords:

topological group, group action, invariant mean; systolic volume, volume entropy.

https://www.mathnet.ru/eng/person8370

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/28790

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	I. K. Babenko, “Differential geometry on finitely presented groups and related combinatorial invariants”, Russian Math. Surveys, 80:2 (2025), 183–226
2.	I. K. Babenko, St. Sabourau, “Minimal volume entropy and fiber growth”, Journal de l'Ecole Polytechnique Mathématiques, 12 (2025), 481–521	3 ^[x]
3.	I. K. Babenko, Th. Moulla, “The Karoubi-Weibel complexity for groups”, l'Enseignement Mathematiques, 70:1-2 (2024), 197–230	2 ^[x]
4.	I. K. Babenko, St. Sabourau, “Volume entropy semi-norm and systolic volume semi-norm”, Journal of the European Mathematical Society, 26:11 (2024), 4393–4439	4 ^[x]
5.	I. K. Babenko, F. Balacheff, G. Bulteau, “Systolic geometry and simplicial complexity for groups”, Journal fur die Reine und Angewandte Mathematik, 757 (2019), 247–277	3 ^[x]
6.	I. K. Babenko, D. Massart, “On systolic zeta functions”, European Journal of Mathematics, 3:4 (2017), 899–915
7.	I. K. Babenko, S. A. Bogatyi, “On topologies on the group $(Z_p)^N$”, Topology and its Applications, 221 (2017), 638–646	1 ^[x]
8.	I. K. Babenko, F. Balacheff, “Systolic volume of homology classes”, Algebraic and Geometric Topology, 15:2 (2015), 733–767
9.	I. K. Babenko, “Algebra, geometry, and topology of the substitution group of formal power series”, Russian Math. Surveys, 68:1 (2013), 1–68
10.	I. K. Babenko, S. A. Bogatyi, “On topological properties of the formal power series substitution group”, l'Enseignement Mathematiques, 59:3-4 (2013), 271–286
11.	I. K. Babenko, S. A. Bogatyi, “The amenability of the substitution group of formal power series”, Izv. Math., 75:2 (2011), 239–252
12.	I. K. Babenko, S. A. Bogatyi, “On the group of substitutions of formal power series with integer coefficients”, Izv. Math., 72:2 (2008), 241–264
13.	I. K. Babenko, “Addenda à l'article intitulé "Topologie des systoles unidimensionnelles”, French, l'Enseignement Mathematiques, 54:3-4 (2008), 397–398
14.	I. K. Babenko, F. Balacheff, “Sur la forme de la boule unité de la norme stable unidimensionnelle”, French, Manuscripta Mathematica, 119:3 (2006), 347–358
15.	I. K. Babenko, “Topologie des systoles unidimensionnelles”, French, l'Enseignement Mathematiques, 52:2 (2006), 109–142
16.	I. K. Babenko, F. Balacheff, “Géométrie systolique des sommes connexes et des revêtements cycliques”, French, Mathematische Annalen, 333:1 (2005), 157–180
17.	I. K. Babenko, “Géométrie systolique des variétés de groupe fondamental $\mathbf{Z}_2$”, French, Séminaire de théorie spectrale et géométrie [Seminar on Spectral Theory and Geometry],, Séminaire de théorie spectrale et géométrie, 22, Université de Grenoble I, Institut Fourier, Institut Fourier, Saint-Martin-d'Hères, 2003, 25–52
18.	I. K. Babenko, “Löwner's conjecture, the Besicovitch barrel, and relative systolic geometry”, Sb. Math., 193:4 (2002), 473–486
19.	I. K. Babenko, “Forte souplesse intersystolique de variétés fermées et de polyèdres”, French, Annales de l'Institut Fourier, 52:4 (2002), 1259–1284
20.	I. K. Babenko, I. A. Taimanov, “On the formality problem for symplectic manifolds”, American Mathematical Society, Providence, RI, 288, 2001, 1–9
21.	I. K. Babenko, “Strong intersystolic softness of closed manifolds”, Russian Math. Surveys, 55:5 (2000), 987–988
22.	I. K. Babenko, I. A. Taimanov, “Massey products in symplectic manifolds”, Sb. Math., 191:8 (2000), 1107–1146
23.	I. K. Babenko, I. A. Taimanov, “On nonformal simply connected symplectic manifolds”, Siberian Math. J., 41:2 (2000), 204–217
24.	I. K. Babenko, I. A. Taimanov, “On the existence of informal simply connected symplectic manifolds”, Russian Math. Surveys, 53:5 (1998), 1082–1083
25.	I. K. Babenko, M. G. Katz, “Systolic freedom of orientable manifolds”, Annales Scientifiques de l'Ecole Normale Superieure, 31:6 (1998), 787–809
26.	I. K. Babenko, M. G. Katz, A. I. Suciu, “Volumes, middle-dimensional systoles, and Whitehead products”, Math. Res. Lett., 5:4 (1998), 461–471
27.	I. K. Babenko, “Topological entropy of geodesic flows on simply connected manifolds, and related topics”, Izv. Math., 61:3 (1997), 517–535
28.	I. K. Babenko, “Extremal problems of geometry, surgery on manifolds, and problems of group theory”, Izv. Math., 59:2 (1995), 321–332
29.	I. K. Babenko, N. N. Nekhoroshev, “On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral”, Math. Notes, 58:5 (1995), 1129–1135
30.	I. K. Babenko, “Asymptotic volumes and simply connected surgeries of smooth manifolds”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 427–430
31.	I. K. Babenko, “Asymptotic invariants of smooth manifolds”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 1–38
32.	I. K. Babenko, S. A. Bogatyi, “The behaviour of the ndex of periodic points under iterations of a mapping”, Math. USSR-Izv., 38:1 (1992), 1–26
33.	I. K. Babenko, “On the behavior of trajectories of scattering billiards on the flat torus”, Math. USSR-Sb., 72:1 (1992), 207–220
34.	I. K. Babenko, “Volume rigidity of two-dimensional manifolds”, Math. Notes, 48:1 (1990), 629–632
35.	I. K. Babenko, “Periodic trajectories in three-dimensional Birkhoffs billiards”, Math. USSR-Sb., 71:1 (1992), 1–13
36.	I. K. Babenko, S. A. Bogatyi, “Mapping a sphere into Euclidean space”, Math. Notes, 46:3 (1989), 638–686
37.	I. K. Babenko, “Closed geodesics, asymptotic volume, and characteristics of group growth”, Math. USSR-Izv., 33:1 (1989), 1–37
38.	I. K. Babenko, “Asymptotic volume of Tori and geometry of convex bodies”, Math. Notes, 44:2 (1988), 579–586
39.	I. K. Babenko, S. A. Bogatyi, “Lefschetz numbers, local indices and periodic points”, Dokl. Akad. Nauk SSSR, 291:3 (1986), 521–524
40.	I. K. Babenko, “Problems of growth and rationality in algebra and topology”, Russian Math. Surveys, 41:2 (1986), 117–175
41.	I. K. Babenko, “Zeros of the Sturm–Liouville equation with periodic potential”, Math. Notes, 37:2 (1985), 135–141
42.	I. K. Babenko, “A generating function in the rational homotopy type”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 1, 15–19
43.	I. K. Babenko, “Analytical properties of Poincaré series of a loop space”, Math. Notes, 27:5 (1980), 359–367
44.	I. K. Babenko, “On real homotopy properties of complete intersections”, Math. USSR-Izv., 15:2 (1980), 241–258
45.	I. K. Babenko, “The Poincaré series of iterated loop spaces”, Russian Math. Surveys, 34:3 (1979), 193–194
46.	I. K. Babenko, “Lie algebras of homotopic groups of minimal Sullivan models”, Math. Notes, 20:6 (1976), 1005–1011

Presentations in Math-Net.Ru

1.	Natural seminorms on homology of topological spaces I. K. Babenko Conference “Geometry, Topology and Mathematical Physics” dedicated to the memory of Sergey Petrovich Novikov June 3, 2025 10:00
2.	Поперечники Урысона и их использование в задачах геометрии в целом I. K. Babenko Seminar on Theory of Functions of Real Variables April 18, 2025 18:30
3.	Объемная энтропия симплициальных комплексов и слабое гомотопическое сплющивание топологических пространств II I. K. Babenko Algebraic topology and its applications. Postnikov memorial seminar March 5, 2025 18:30
4.	Объемная энтропия симплициальных комплексов и слабое гомотопическое сплющивание топологических пространств I. K. Babenko Algebraic topology and its applications. Postnikov memorial seminar February 26, 2025 18:30
5.	Некоммутативная геометрия и топология в Московском университете A. S. Mishchenko, I. K. Babenko, A. A. Irmatov, V. M. Manuilov, F. Yu. Popelenskii, A. Yu. Savin, A. A. Arutyunov Noncommutative geometry and topology March 28, 2024 16:45
6.	On combinatorial invariants for finitely presented groups, not related to presentations I. K. Babenko Algebraic topology and its applications. Postnikov memorial seminar October 3, 2023 16:45
7.	On homology length spectrum, systolic zeta function and isoperimeter inequalities I. K. Babenko Algebraic topology and its applications. Postnikov memorial seminar March 27, 2018 16:45
8.	О топологиях на некоторых абелевых группых I. K. Babenko Noncommutative geometry and topology March 30, 2017 16:45
9.	What is the area of a finitely presented group and what does this area depend on Ivan Babenko International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 20, 2016 12:10
10.	Systolic zeta function I. K. Babenko Seminar on Complex Analysis (Gonchar Seminar) March 28, 2016 17:00
11.	Площадь конечно представимых групп и их симплициальная сложность I. K. Babenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 23, 2016 18:30
12.	Стабильная норма и случайные метрики I. K. Babenko Noncommutative geometry and topology March 17, 2016 16:45
13.	Систолический объём гомологических классов I. K. Babenko Algebraic topology and its applications. Postnikov memorial seminar March 31, 2015 16:45
14.	Систолическая площадь и симплициальная сложность конечнопредставимых групп I. K. Babenko Noncommutative geometry and topology March 26, 2015 16:45
15.	Some topological problems in systolic geometry Ivan Babenko International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday June 18, 2013 15:00
16.	Подгруппа голоморфных ростков в группе формальных степенных рядов I. K. Babenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 27, 2013 18:30
17.	О структуре группы формальных степенных рядов I. K. Babenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 28, 2012 18:30

Organisations

Articles