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## Potyagailo, Leonid

Compute Distance To:
 Author ID: potyagailo.leonid Published as: Potyagailo, Leonid; Potyagailo, L. External Links: MGP
 Documents Indexed: 26 Publications since 1990, including 1 Book Reviewing Activity: 22 Reviews
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#### Co-Authors

 6 single-authored 5 Gerasimov, Victor N. 4 Knieper, Gerhard 4 Polterovich, Leonid Viktorovich 3 Delzant, Thomas 2 Kapovich, Michael 2 Kapranov, Mikhail M. 2 Kolyada, Sergiǐ Fedorovych 2 Manin, Yuri Ivanovich 2 Moree, Pieter 2 Vinberg, Èrnest Borisovich 2 Yang, Wenyuan 1 Gekhtman, Ilya 1 Ohshika, Ken’ichi
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#### Serials

 4 Oberwolfach Reports 1 Israel Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Topology 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Questions and Answers in General Topology 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 St. Petersburg Mathematical Journal 1 Transformation Groups 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Progress in Mathematics 1 Groups, Geometry, and Dynamics
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#### Fields

 20 Group theory and generalizations (20-XX) 16 Manifolds and cell complexes (57-XX) 8 Topological groups, Lie groups (22-XX) 8 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

16 Publications have been cited 108 times in 81 Documents Cited by Year
On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046
Potyagailo, Leonid; Vinberg, Ernest
2005
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups. Zbl 1292.20047
Gerasimov, Victor; Potyagailo, Leonid
2013
Hierarchical accessibility of finitely presented groups. (Accessibilité hiérarchique des groupes de présentation finie.) Zbl 0996.20027
Delzant, Thomas; Potyagailo, Leonid
2001
Quasiconvexity in relatively hyperbolic groups. Zbl 1361.20031
Gerasimov, Victor; Potyagailo, Leonid
2016
Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity. Zbl 1364.20032
Gerasimov, Victor; Potyagailo, Leonid
2015
Endomorphisms of Kleinian groups. Zbl 1108.20047
Delzant, T.; Potyagailo, L.
2003
Self-embeddings of Kleinian groups. Zbl 0903.57006
Ohshika, Ken’ichi; Potyagailo, Leonid
1998
Finitely generated Kleinian groups in 3-space and 3-manifolds of infinite homotopy type. Zbl 0828.57002
Potyagailo, L.
1994
On the absence of Ahlfors’ finiteness theorem for Kleinian groups in dimension three. Zbl 0817.57018
Kapovich, Michael; Potyagailo, Leonid
1991
Noncoherence of some lattices in $$\mathrm{Isom}(\mathbb H^n)$$. Zbl 1139.22007
Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest
2008
Hausdorff dimension of boundaries of relatively hyperbolic groups. Zbl 07094908
Potyagailo, Leonid; Yang, Wen-yuan
2019
Martin boundary covers Floyd boundary. Zbl 07306980
Gekhtman, Ilya; Gerasimov, Victor; Potyagailo, Leonid; Yang, Wenyuan
2021
Similar relatively hyperbolic actions of a group. Zbl 1402.20055
Gerasimov, Victor; Potyagailo, Leonid
2016
The problem of finiteness for Kleinian groups in 3-space. Zbl 0764.57009
Potyagailo, L.
1992
On the complexity and volume of hyperbolic 3-manifolds. Zbl 1271.57055
Delzant, Thomas; Potyagailo, Leonid
2013
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
2008
Martin boundary covers Floyd boundary. Zbl 07306980
Gekhtman, Ilya; Gerasimov, Victor; Potyagailo, Leonid; Yang, Wenyuan
2021
Hausdorff dimension of boundaries of relatively hyperbolic groups. Zbl 07094908
Potyagailo, Leonid; Yang, Wen-yuan
2019
Quasiconvexity in relatively hyperbolic groups. Zbl 1361.20031
Gerasimov, Victor; Potyagailo, Leonid
2016
Similar relatively hyperbolic actions of a group. Zbl 1402.20055
Gerasimov, Victor; Potyagailo, Leonid
2016
Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity. Zbl 1364.20032
Gerasimov, Victor; Potyagailo, Leonid
2015
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups. Zbl 1292.20047
Gerasimov, Victor; Potyagailo, Leonid
2013
On the complexity and volume of hyperbolic 3-manifolds. Zbl 1271.57055
Delzant, Thomas; Potyagailo, Leonid
2013
Noncoherence of some lattices in $$\mathrm{Isom}(\mathbb H^n)$$. Zbl 1139.22007
Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest
2008
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
2008
On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046
Potyagailo, Leonid; Vinberg, Ernest
2005
Endomorphisms of Kleinian groups. Zbl 1108.20047
Delzant, T.; Potyagailo, L.
2003
Hierarchical accessibility of finitely presented groups. (Accessibilité hiérarchique des groupes de présentation finie.) Zbl 0996.20027
Delzant, Thomas; Potyagailo, Leonid
2001
Self-embeddings of Kleinian groups. Zbl 0903.57006
Ohshika, Ken&rsquo;ichi; Potyagailo, Leonid
1998
Finitely generated Kleinian groups in 3-space and 3-manifolds of infinite homotopy type. Zbl 0828.57002
Potyagailo, L.
1994
The problem of finiteness for Kleinian groups in 3-space. Zbl 0764.57009
Potyagailo, L.
1992
On the absence of Ahlfors’ finiteness theorem for Kleinian groups in dimension three. Zbl 0817.57018
Kapovich, Michael; Potyagailo, Leonid
1991
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#### Cited by 103 Authors

 7 Potyagailo, Leonid 6 Kapovich, Ilya 5 Kolpakov, Alexander A. 5 Yang, Wenyuan 4 Gekhtman, Ilya 4 Gerasimov, Victor N. 4 Tschantz, Steven Thomas 3 Guirardel, Vincent 3 Wise, Daniel T. 2 Belolipetsky, Mikhail V. 2 Boileau, Michel Charles 2 Dahmani, François 2 Delzant, Thomas 2 Dussaule, Matthieu 2 Groves, Daniel P. 2 Haïssinsky, Peter 2 Hidalgo, Rubén Antonio 2 Kapovich, Michael 2 Kharlampovich, Olga G. 2 Myasnikov, Alexei G. 2 Patel, Priyam 2 Ratcliffe, John G. 2 Rosenberger, Gerhard 2 Sormani, Christina 2 Tiozzo, Giulio 2 Wei, Guofang 1 Allcock, Daniel Jonathan 1 Arzhantsev, Ivan Vladimirovich 1 Belegradek, Igor 1 Boege, Margareta 1 Boyer, Steven 1 Bridson, Martin R. 1 Brown, Samuel H. 1 Calegari, Danny Matthew Cornelius 1 Carrasco Piaggio, Matias 1 Christensen, Johannes 1 Chu, Michelle 1 Clark, Alex 1 Deblois, Jason 1 Druţu, Cornelia 1 Dufour, Guillaume 1 Dunfield, Nathan M. 1 Everitt, Brent 1 Felikson, Anna Aleksandrovna 1 Fine, Benjamin L. 1 Fine, Joel 1 Gromadzki, Grzegorz 1 Han, Suzhen 1 Hillman, Jonathan Arthur 1 Hinojosa, Gabriela 1 Hurder, Steven E. 1 Jankiewicz, Kasia 1 Jeon, Woojin 1 Kapovich, M. Eh. 1 Kellerhals, Ruth 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Le, Giang 1 Leininger, Christopher J. 1 Levcovitz, Ivan 1 Levitt, Gilbert 1 Louder, Larsen 1 Lukina, Olga 1 Lukyanenko, Anton 1 Lustig, Martin 1 Ma, Jiming 1 Manning, Jason Fox 1 Martelli, Bruno 1 Martin, Gaven J. 1 Mihalik, Michael L. 1 Miller, Nicholas 1 Nonaka, Jun 1 Norin, Sergey 1 Ohshika, Ken’ichi 1 Osin, Denis V. 1 Panov, Dmitri Alekseevich 1 Perren, Geneviève 1 Potyagaĭlo, L. D. 1 Przytycki, Piotr 1 Randecker, Anja 1 Remeslennikov, Vladimir Nikanorovich 1 Riolo, Stefano 1 Sapir, Mark Valentinovich 1 Saucan, Emil 1 Schupp, Paul E. 1 Serbin, Denis E. 1 Sisto, Alessandro 1 Snoha, L’ubomír 1 Szczepański, Andrzej 1 Talambutsa, Alexey 1 Thomas, Anne 1 Thomsen, Klaus E. 1 Thomson, Scott A. 1 Timashev, Dmitri A. 1 Touikan, Nicholas W. M. 1 Tumarkin, Pavel 1 Vavrichek, Diane M. 1 Verjovsky, Alberto 1 Wang, Shi Cheng 1 Weidmann, Richard 1 Wylie, William C. ...and 3 more Authors
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#### Cited in 43 Serials

 6 Geometry & Topology 6 Algebraic & Geometric Topology 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Geometriae Dedicata 4 Conformal Geometry and Dynamics 4 Groups, Geometry, and Dynamics 3 Proceedings of the American Mathematical Society 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Topology and its Applications 2 European Journal of Combinatorics 2 International Journal of Algebra and Computation 2 Geometric and Functional Analysis. GAFA 1 Communications in Algebra 1 Discrete Mathematics 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Modern Dynamics 1 Albanian Journal of Mathematics 1 Journal of Topology and Analysis 1 Winter Braids Lecture Notes
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#### Cited in 21 Fields

 59 Group theory and generalizations (20-XX) 41 Manifolds and cell complexes (57-XX) 13 Functions of a complex variable (30-XX) 12 Topological groups, Lie groups (22-XX) 10 Differential geometry (53-XX) 9 Geometry (51-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Number theory (11-XX) 5 Convex and discrete geometry (52-XX) 5 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX)