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Author ID: babenko.ivan-k Recent zbMATH articles by "Babenko, Ivan K."
Published as: Babenko, I. K.; Babenko, Ivan; Babenko, Ivan K.; Babenko, I.

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 269 times in 206 Documents Cited by Year
The behavior of the index of periodic points under iterations of a mapping. Zbl 0742.58027
Babenko, I. K.; Bogatyj, S. A.
46
1991
On nonformal simply-connected symplectic manifolds. Zbl 0972.53051
Babenko, I. K.; Taĭmanov, I. A.
22
2000
Asymptotic invariants of smooth manifolds. Zbl 0812.57022
Babenko, I. K.
21
1992
Massey products in symplectic manifolds. Zbl 1003.53059
Babenko, I. K.; Taimanov, I. A.
20
2000
Algebra, geometry, and topology of the substitution group of formal power series. Zbl 1275.20024
Babenko, I. K.
12
2013
Strong intersystolic freedom of closed manifolds and of polyhedrons. (Forte souplesse intersystolique de varieétés fermées et de polyèdres.) Zbl 1023.53025
Babenko, Ivan K.
10
2002
Asymptotic volume of tori and geometry of convex bodies. Zbl 0653.52008
Babenko, I. K.
10
1988
Problems of growth and rationality in algebra and topology. Zbl 0607.55007
Babenko, I. K.
9
1986
Closed geodesics, asymptotic volume and group growth characteristics. Zbl 0657.53024
Babenko, I. K.
8
1988
Systolic volume of homology classes. Zbl 1318.53036
Babenko, Ivan; Balacheff, Florent
7
2015
On the form of the unit ball of the one-dimensional stable norm. (Sur la forme de la boule unité de la norme stable unidimensionnelle.) Zbl 1082.05509
Babenko, Ivan; Balacheff, Florent
7
2006
On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral. Zbl 0865.53030
Babenko, I. K.; Nekhoroshev, N. N.
7
1995
Systolic freedom of orientable manifolds. Zbl 0944.53019
Babenko, Ivan; Katz, Mikhail
7
1998
On the existence of informal simply connected symplectic manifolds. Zbl 0972.53049
Babenko, I. K.; Taimanov, I. A.
7
1998
Closed geodesics, asymptotic volume, and characteristics of group growth. Zbl 0668.53032
Babenko, I. K.
7
1989
The amenability of the substitution group of formal power series. Zbl 1228.43001
Babenko, I. K.; Bogatyi, S. A.
6
2011
Über analytische Eigenschaften Poincaréscher Reihen von Loopräumen. Zbl 0447.55007
Babenko, I. K.
6
1980
On the group of substitutions of formal power series with integer coefficients. Zbl 1152.20026
Babenko, I. K.; Bogatyi, S. A.
6
2008
Analytical properties of Poincaré series of a loop space. Zbl 0455.55006
Babenko, I. K.
5
1980
Periodic trajectories in three-dimensional Birkhoff billiards. Zbl 0744.58062
Babenko, I. K.
4
1992
Systolic geometry of connected sums and cyclic covering. (Géométrie systolique des sommes connexes et des revêtements cycliques.) Zbl 1149.53024
Babenko, Ivan; Balacheff, Florent
4
2005
Topology of one-dimensional systoles. (Topologie des systoles unidimensionnelles.) Zbl 1236.53037
Babenko, Ivan K.
4
2006
Mapping a sphere into Euclidean space. Zbl 0694.55005
Babenko, I. K.; Bogatyj, S. A.
4
1989
On real homotopy properties of complete intersections. Zbl 0423.14011
Babenko, I. K.
3
1979
On real homotopy properties of complete intersections. Zbl 0443.14012
Babenko, I. K.
3
1980
On the formality problem for symplectic manifolds. Zbl 1017.53067
Babenko, Ivan K.; Taimanov, Iskander A.
3
2001
Volumes, middle-dimensional systoles, and Whitehead products. Zbl 0933.53022
Babenko, Ivan K.; Katz, Mikhail G.; Suciu, Alexander I.
3
1998
Systolic geometry of manifolds with fundamental group \(\mathbb{Z}_2\). (Géométrie systolique des variétés de groupe fondamental \(\mathbb{Z}_2\).) Zbl 1083.53042
Babenko, Ivan K.
2
2004
Supplement to the article “topology of unidimensional systoles”. (Addenda à l’article intitulé “topologie des systoles unidimensionnelles”.) Zbl 1160.53352
Babenko, Ivan
2
2008
Systolic geometry and simplicial complexity for groups. Zbl 1446.20050
Babenko, Ivan; Balacheff, Florent; Bulteau, Guillaume
2
2019
Löwner’s conjecture, the Besicovitch barrel, and relative systolic geometry. Zbl 1039.53044
Babenko, I. K.
1
2002
Asymptotic volumes and simply connected surgeries of smooth manifolds. Zbl 0832.53034
Babenko, I. K.
1
1994
Über Poincaresche Reihen mehrfacher Loopräume. Zbl 0411.55005
Babenko, I. K.
1
1979
Strong intersystolic softness of closed manifolds. Zbl 1004.53031
Babenko, I. K.
1
2000
Topological entropy of geodesic flows on simply connected manifolds, and related topics. Zbl 0904.58047
Babenko, I. K.
1
1997
Extremal problems of geometry, surgery on manifolds, and problems of group theory. Zbl 0896.53032
Babenko, I. K.
1
1995
Solid rigidity of two-dimensional manifolds. Zbl 0711.53035
Babenko, I. K.
1
1990
Periodic trajectories of three-dimensional Birkhoff billiards. Zbl 0713.58007
Babenko, I. K.
1
1990
Volume rigidity of two-dimensional manifolds. Zbl 0717.53029
Babenko, I. K.
1
1990
Lefschetz numbers, local indices, and periodic points. Zbl 0637.58022
Babenko, I. K.; Bogatyj, S. A.
1
1987
Asymptotic volume of tori and geometry of convex bodies. Zbl 0666.52005
Babenko, I. K.
1
1988
On topologies on the group \((\mathbb{Z}_p)^{\mathbb{N}}\). Zbl 1384.22001
Babenko, I. K.; Bogatyi, S. A.
1
2017
Systolic geometry and simplicial complexity for groups. Zbl 1446.20050
Babenko, Ivan; Balacheff, Florent; Bulteau, Guillaume
2
2019
On topologies on the group \((\mathbb{Z}_p)^{\mathbb{N}}\). Zbl 1384.22001
Babenko, I. K.; Bogatyi, S. A.
1
2017
Systolic volume of homology classes. Zbl 1318.53036
Babenko, Ivan; Balacheff, Florent
7
2015
Algebra, geometry, and topology of the substitution group of formal power series. Zbl 1275.20024
Babenko, I. K.
12
2013
The amenability of the substitution group of formal power series. Zbl 1228.43001
Babenko, I. K.; Bogatyi, S. A.
6
2011
On the group of substitutions of formal power series with integer coefficients. Zbl 1152.20026
Babenko, I. K.; Bogatyi, S. A.
6
2008
Supplement to the article “topology of unidimensional systoles”. (Addenda à l’article intitulé “topologie des systoles unidimensionnelles”.) Zbl 1160.53352
Babenko, Ivan
2
2008
On the form of the unit ball of the one-dimensional stable norm. (Sur la forme de la boule unité de la norme stable unidimensionnelle.) Zbl 1082.05509
Babenko, Ivan; Balacheff, Florent
7
2006
Topology of one-dimensional systoles. (Topologie des systoles unidimensionnelles.) Zbl 1236.53037
Babenko, Ivan K.
4
2006
Systolic geometry of connected sums and cyclic covering. (Géométrie systolique des sommes connexes et des revêtements cycliques.) Zbl 1149.53024
Babenko, Ivan; Balacheff, Florent
4
2005
Systolic geometry of manifolds with fundamental group \(\mathbb{Z}_2\). (Géométrie systolique des variétés de groupe fondamental \(\mathbb{Z}_2\).) Zbl 1083.53042
Babenko, Ivan K.
2
2004
Strong intersystolic freedom of closed manifolds and of polyhedrons. (Forte souplesse intersystolique de varieétés fermées et de polyèdres.) Zbl 1023.53025
Babenko, Ivan K.
10
2002
Löwner’s conjecture, the Besicovitch barrel, and relative systolic geometry. Zbl 1039.53044
Babenko, I. K.
1
2002
On the formality problem for symplectic manifolds. Zbl 1017.53067
Babenko, Ivan K.; Taimanov, Iskander A.
3
2001
On nonformal simply-connected symplectic manifolds. Zbl 0972.53051
Babenko, I. K.; Taĭmanov, I. A.
22
2000
Massey products in symplectic manifolds. Zbl 1003.53059
Babenko, I. K.; Taimanov, I. A.
20
2000
Strong intersystolic softness of closed manifolds. Zbl 1004.53031
Babenko, I. K.
1
2000
Systolic freedom of orientable manifolds. Zbl 0944.53019
Babenko, Ivan; Katz, Mikhail
7
1998
On the existence of informal simply connected symplectic manifolds. Zbl 0972.53049
Babenko, I. K.; Taimanov, I. A.
7
1998
Volumes, middle-dimensional systoles, and Whitehead products. Zbl 0933.53022
Babenko, Ivan K.; Katz, Mikhail G.; Suciu, Alexander I.
3
1998
Topological entropy of geodesic flows on simply connected manifolds, and related topics. Zbl 0904.58047
Babenko, I. K.
1
1997
On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral. Zbl 0865.53030
Babenko, I. K.; Nekhoroshev, N. N.
7
1995
Extremal problems of geometry, surgery on manifolds, and problems of group theory. Zbl 0896.53032
Babenko, I. K.
1
1995
Asymptotic volumes and simply connected surgeries of smooth manifolds. Zbl 0832.53034
Babenko, I. K.
1
1994
Asymptotic invariants of smooth manifolds. Zbl 0812.57022
Babenko, I. K.
21
1992
Periodic trajectories in three-dimensional Birkhoff billiards. Zbl 0744.58062
Babenko, I. K.
4
1992
The behavior of the index of periodic points under iterations of a mapping. Zbl 0742.58027
Babenko, I. K.; Bogatyj, S. A.
46
1991
Solid rigidity of two-dimensional manifolds. Zbl 0711.53035
Babenko, I. K.
1
1990
Periodic trajectories of three-dimensional Birkhoff billiards. Zbl 0713.58007
Babenko, I. K.
1
1990
Volume rigidity of two-dimensional manifolds. Zbl 0717.53029
Babenko, I. K.
1
1990
Closed geodesics, asymptotic volume, and characteristics of group growth. Zbl 0668.53032
Babenko, I. K.
7
1989
Mapping a sphere into Euclidean space. Zbl 0694.55005
Babenko, I. K.; Bogatyj, S. A.
4
1989
Asymptotic volume of tori and geometry of convex bodies. Zbl 0653.52008
Babenko, I. K.
10
1988
Closed geodesics, asymptotic volume and group growth characteristics. Zbl 0657.53024
Babenko, I. K.
8
1988
Asymptotic volume of tori and geometry of convex bodies. Zbl 0666.52005
Babenko, I. K.
1
1988
Lefschetz numbers, local indices, and periodic points. Zbl 0637.58022
Babenko, I. K.; Bogatyj, S. A.
1
1987
Problems of growth and rationality in algebra and topology. Zbl 0607.55007
Babenko, I. K.
9
1986
Über analytische Eigenschaften Poincaréscher Reihen von Loopräumen. Zbl 0447.55007
Babenko, I. K.
6
1980
Analytical properties of Poincaré series of a loop space. Zbl 0455.55006
Babenko, I. K.
5
1980
On real homotopy properties of complete intersections. Zbl 0443.14012
Babenko, I. K.
3
1980
On real homotopy properties of complete intersections. Zbl 0423.14011
Babenko, I. K.
3
1979
Über Poincaresche Reihen mehrfacher Loopräume. Zbl 0411.55005
Babenko, I. K.
1
1979
all top 5

Cited by 211 Authors

15 Graff, Grzegorz
15 Katz, Mikhail G.
11 Babenko, Ivan K.
11 Jezierski, Jerzy
10 Llibre, Jaume
9 Sirvent, Víctor F.
7 Muñoz Velázquez, Vicente
7 Nowak-Przygodzki, Piotr
6 Balacheff, Florent
6 Fernández Rodríguez, Marisa
6 Sabourau, Stéphane
5 García Guirao, Juan Luis
5 Ruiz del Portal, Francisco Romero
4 Berrizbeitia, Pedro
4 Ivanov, Sergei Vladimirovich
4 Limonchenko, Ivan Yur’evich
4 Luzón, Ana
4 Moron, Manuel Alonso
4 Prieto-Martínez, Luis Felipe
4 Taĭmanov, Iskander Asanovich
3 Bazzoni, Giovanni
3 Besson, Gérard
3 Bogatyĭ, Semeon Antonovich
3 Courtois, Gilles
3 Dranishnikov, Alexander Nikolaevich
3 Gallot, Sylvestre
3 González, Marcos José
3 Karasev, Roman N.
3 Lebiedź, Małgorzata
3 Millionshchikov, Dmitriĭ Vladimirovich
3 Misiurewicz, Michał
3 Parlier, Hugo
3 Rudyak, Yuli B.
3 Tralle, Aleksy E.
2 Bangert, Victor
2 Bogataya, S. I.
2 Bulteau, Guillaume
2 Burago, Dmitri
2 Cavalcanti, Gil Ramos
2 El Mir, Chady
2 Evetts, Alex
2 Farber, Michael S.
2 Félix, Yves
2 Fel’shtyn, Alexander
2 Fomenko, Anatoliĭ Timofeevich
2 Grigorchuk, Rostislav Ivanovich
2 Hastings, Matthew B.
2 Hernández-Corbato, Luis
2 Jing, Wenjia
2 Katz, Karin Usadi
2 Kiselev, Denis Dmitrievich
2 Lambrechts, Pascal
2 Lee, Jong Bum
2 Makeev, Vladimir Vladimirovich
2 Massart, Daniel
2 Matveev, Vladimir S.
2 Pérez-Izquierdo, José María
2 Salazar, José Miguel
2 Samet-Vaillant, Aryeh Y.
2 Shnider, Steven
2 Suárez-Serrato, Pablo
2 Suciu, Alexander I.
2 Thomas, Jean-Claude
2 Tran Vinh Hung
2 Vedyushkina, Viktoriya Viktorovna
2 Vigué-Poirrier, Micheline
2 Vishne, Uzi
2 Weinberger, Shmuel
2 Yu, Yifeng
1 Abbondandolo, Alberto
1 Abramov, Ya. V.
1 Ambrosio, Luigi
1 Angella, Daniele
1 Avramov, Luchezar L.
1 Bahturin, Yuri
1 Baralić, Đorđe
1 Barroso, Cleon S.
1 Baues, Hans-Joachim
1 Benedetti, Gabriele
1 Biswas, Indranil
1 Blagojević, Pavle V. M.
1 Blanc, David Abraham
1 Bolotov, Dmitriĭ Valer’evich
1 Bolsinov, Alexey V.
1 Boocher, Adam
1 Borghini, Eugenio
1 Bregman, Corey
1 Bronshteĭn, Efim Mikhaĭlovich
1 Brunnbauer, Michael
1 Bryant, Roger M.
1 Bukh, Boris
1 Bukhshtaber, Viktor Matveevich
1 Casas, Pablo S.
1 Ceccherini-Silberstein, Tullio G.
1 Cheon, Gi-Sang
1 Cho, Yunhyung
1 Chocano, Pedro J.
1 Conley, Charles H.
1 Cox, Charles Garnet
1 Croke, Christopher B.
...and 111 more Authors
all top 5

Cited in 93 Serials

16 Topology and its Applications
8 Journal of Difference Equations and Applications
8 Journal of Fixed Point Theory and Applications
7 Geometriae Dedicata
7 Geometric and Functional Analysis. GAFA
7 Algebraic & Geometric Topology
6 Mathematical Notes
6 Journal of Mathematical Sciences (New York)
5 Journal of Algebra
5 Mathematische Annalen
5 Transactions of the American Mathematical Society
4 Inventiones Mathematicae
4 Qualitative Theory of Dynamical Systems
4 Proceedings of the Steklov Institute of Mathematics
3 Israel Journal of Mathematics
3 Journal of Geometry and Physics
3 Advances in Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Journal of Differential Equations
3 Geometry & Topology
2 Journal of Mathematical Analysis and Applications
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Journal of Geometry
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Siberian Mathematical Journal
2 Discrete & Computational Geometry
2 Differential Geometry and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Expositiones Mathematicae
2 Izvestiya: Mathematics
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica Sinica. English Series
2 Journal of Homotopy and Related Structures
2 Journal of Topology and Analysis
1 Communications on Pure and Applied Mathematics
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Anais da Academia Brasileira de Ciências
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Annals of Global Analysis and Geometry
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 Aequationes Mathematicae
1 L’Enseignement Mathématique. 2e Série
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Topological Methods in Nonlinear Analysis
1 Russian Journal of Mathematical Physics
1 Filomat
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 Revista Matemática Complutense
1 Journal of Dynamical and Control Systems
1 Journal of Nonlinear Mathematical Physics
1 Dynamical Systems
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Topology
1 São Paulo Journal of Mathematical Sciences
1 EMS Surveys in Mathematical Sciences
1 European Journal of Mathematics
1 Open Mathematics
1 Minimax Theory and its Applications
1 Complex Manifolds
1 Graduate Journal of Mathematics

Citations by Year