Edit Profile (opens in new tab) Kapovich, Ilya Co-Author Distance Author ID: kapovich.ilya Published as: Kapovich, Ilya External Links: MGP Documents Indexed: 88 Publications since 1995, including 1 Book and 5 Additional arXiv Preprints Co-Authors: 37 Co-Authors with 60 Joint Publications 768 Co-Co-Authors all top 5 Co-Authors 28 single-authored 12 Schupp, Paul E. 9 Lustig, Martin 9 Weidmann, Richard 6 Shpilrain, Vladimir 5 Dowdall, Spencer 5 Leininger, Christopher J. 5 Myasnikov, Alexei G. 5 Pfaff, Catherine 3 Rivin, Igor 3 Smirnova-Nagnibeda, Tatiana 3 Taylor, Samuel Joseph 2 Carette, Mathieu 2 Francaviglia, Stefano 2 Maher, Joseph 2 Martino, Armando 2 Wise, Daniel T. 1 Algom-Kfir, Yael 1 Bassino, Frédérique 1 Bell, Mark Christopher 1 Benakli, Nadia 1 Bou-Rabee, Khalid 1 Callahan, Patrick J. 1 Gupta, Neha 1 Hull, Michael B. 1 Jeon, Woojin 1 Kaimanovich, Vadim A. 1 Lackenby, Marc 1 Levitt, Gilbert 1 Lohrey, Markus 1 Lukyanenko, Anton 1 Nicaud, Cyril 1 Ohshika, Ken’ichi 1 Rafi, Kasra 1 Shalen, Peter B. 1 Short, Hamish 1 Simon, Zachary 1 Ushakov, Alexander S. 1 Weil, Pascal all top 5 Serials 7 International Journal of Algebra and Computation 4 Geometriae Dedicata 4 Journal of Algebra 4 Transactions of the American Mathematical Society 4 Geometry & Topology 4 Journal of Group Theory 3 Israel Journal of Mathematics 3 Illinois Journal of Mathematics 3 Groups, Geometry, and Dynamics 2 Communications in Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Experimental Mathematics 2 Conformal Geometry and Dynamics 2 Algebraic & Geometric Topology 1 Bulletin of the Australian Mathematical Society 1 Advances in Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Ergodic Theory and Dynamical Systems 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Notices of the American Mathematical Society 1 Topology Proceedings 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Topology 1 Journal of Topology and Analysis all top 5 Fields 83 Group theory and generalizations (20-XX) 45 Manifolds and cell complexes (57-XX) 21 Dynamical systems and ergodic theory (37-XX) 7 Computer science (68-XX) 6 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Combinatorics (05-XX) 5 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 1 Number theory (11-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,098 times in 630 Documents Cited by ▼ Year ▼ Stallings foldings and subgroups of free groups. Zbl 1001.20015 Kapovich, Ilya; Myasnikov, Alexei 120 2002 Generic-case complexity, decision problems in group theory, and random walks. Zbl 1041.20021 Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 107 2003 Boundaries of hyperbolic groups. Zbl 1044.20028 Kapovich, Ilya; Benakli, Nadia 97 2002 Geometric intersection number and analogues of the curve complex for free groups. Zbl 1194.20046 Kapovich, Ilya; Lustig, Martin 41 2009 Generic properties of Whitehead’s algorithm and isomorphism rigidity of random one-relator groups. Zbl 1149.20028 Kapovich, Ilya; Schupp, Paul; Shpilrain, Vladimir 38 2006 Average-case complexity and decision problems in group theory. Zbl 1065.20044 Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 34 2005 Greenberg’s theorem for quasiconvex subgroups of word hyperbolic groups. Zbl 0873.20025 Kapovich, Ilya; Short, Hamish 32 1996 Intersection form, laminations and currents on free groups. Zbl 1242.20052 Kapovich, Ilya; Lustig, Martin 30 2010 On hyperbolicity of free splitting and free factor complexes. Zbl 1315.20022 Kapovich, Ilya; Rafi, Kasra 28 2014 Foldings, graphs of groups and the membership problem. Zbl 1089.20018 Kapovich, Ilya; Weidmann, Richard; Myasnikov, Alexei 27 2005 Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups. Zbl 1080.20029 Kapovich, Ilya; Schupp, Paul 26 2005 The frequency space of a free group. Zbl 1110.20031 Kapovich, Ilya 24 2005 Currents on free groups. Zbl 1110.20034 Kapovich, Ilya 24 2006 The equivalence of some residual properties of word-hyperbolic groups. Zbl 0951.20029 Kapovich, Ilya; Wise, Daniel T. 23 2000 The Patterson-Sullivan embedding and minimal volume entropy for outer space. Zbl 1135.20031 Kapovich, Ilya; Nagnibeda, Tatiana 23 2007 Mapping tori of endomorphisms of free groups. Zbl 0953.20035 Kapovich, Ilya 20 2000 Dynamics on free-by-cyclic groups. Zbl 1364.20026 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 19 2015 Ping-pong and outer space. Zbl 1211.20027 Kapovich, Ilya; Lustig, Martin 19 2010 The combination theorem and quasiconvexity. Zbl 1025.20028 Kapovich, Ilya 17 2001 McMullen polynomials and Lipschitz flows for free-by-cyclic groups. Zbl 1433.20012 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 15 2017 Algorithmic detectability of iwip automorphisms. Zbl 1319.20030 Kapovich, Ilya 15 2014 The subadditive ergodic theorem and generic stretching factors for free group automorphisms. Zbl 1173.20031 Kaimanovich, Vadim; Kapovich, Ilya; Schupp, Paul 13 2007 The actions of \(\text{Out}(F_k)\) on the boundary of outer space and on the space of currents: minimal sets and equivariant incompatibility. Zbl 1127.20025 Kapovich, Ilya; Lustig, Martin 13 2007 A non-quasiconvexity embedding theorem for hyperbolic groups. Zbl 0942.20026 Kapovich, Ilya 11 1999 Cannon-Thurston fibers for iwip automorphisms of \(F_N\). Zbl 1325.20035 Kapovich, Ilya; Lustig, Martin 11 2015 On group-theoretic models of randomness and genericity. Zbl 1239.20047 Kapovich, Ilya; Schupp, Paul 11 2008 Detecting quasiconvexity: Algorithmic aspects. Zbl 0859.20026 Kapovich, Ilya 10 1996 Densities in free groups and \(\mathbb{Z}^k\), visible points and test elements. Zbl 1132.20017 Kapovich, Ilya; Rivin, Igor; Schupp, Paul; Shpilrain, Vladimir 10 2007 Clusters, currents, and Whitehead’s algorithm. Zbl 1158.20014 Kapovich, Ilya 10 2007 Subgroup properties of fully residually free groups. Zbl 0983.20022 Kapovich, Ilya 9 2002 Delzant’s \(T\)-invariant, Kolmogorov complexity and one-relator groups. Zbl 1151.20026 Kapovich, Ilya; Schupp, Paul 9 2005 Freely indecomposable groups acting on hyperbolic spaces. Zbl 1094.20022 Kapovich, Ilya; Weidmann, Richard 9 2004 Nielsen methods and groups acting on hyperbolic spaces. Zbl 1025.20029 Kapovich, Ilya; Weidmann, Richard 9 2003 On the failure of the co-Hopf property for subgroups of word-hyperbolic groups. Zbl 0991.20031 Kapovich, Ilya; Wise, Daniel T. 8 2001 Stabilizers of \(\mathbb{R}\)-trees with free isometric actions of \(F_N\). Zbl 1262.20031 Kapovich, Ilya; Lustig, Martin 8 2011 Small cancellation groups and translation numbers. Zbl 0885.20023 Kapovich, Ilya 8 1997 Endomorphisms, train track maps, and fully irreducible monodromies. Zbl 1423.20045 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 7 2017 A train track directed random walk on \(\mathrm{Out}(F_r)\). Zbl 1351.20025 Kapovich, Ilya; Pfaff, Catherine 7 2015 On the structure of two-generated hyperbolic groups. Zbl 0931.20036 Kapovich, Ilya; Weidmann, Richard 7 1999 Quasiconvexity and amalgams. Zbl 0912.20031 Kapovich, Ilya 7 1997 Random quotients of the modular group are rigid and essentially incompressible. Zbl 1167.22009 Kapovich, Ilya; Schuppp, Paul E. 7 2009 Cannon-Thurston maps for hyperbolic free group extensions. Zbl 1361.20030 Dowdall, Spencer; Kapovich, Ilya; Taylor, Samuel J. 7 2016 Invariant laminations for irreducible automorphisms of free groups. Zbl 1348.20035 Kapovich, Ilya; Lustig, Martin 7 2014 Domains of proper discontinuity on the boundary of outer space. Zbl 1259.20050 Kapovich, Ilya; Lustig, Martin 7 2010 Two-generated groups acting on trees. Zbl 0988.20012 Kapovich, Ilya; Weidmann, Richard 6 1999 Detecting fully irreducible automorphisms: a polynomial time algorithm. Zbl 1470.20019 Kapovich, Ilya; Bell, Mark C. 6 2019 Amalgamated products and the Howson property. Zbl 0886.20018 Kapovich, Ilya 6 1997 Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion. Zbl 1070.20048 Kapovich, Ilya; Schupp, Paul 6 2004 Complexity and randomness in group theory. GAGTA book 1. Zbl 1515.20003 Bassino, Frédérique; Kapovich, Ilya; Lohrey, Markus; Miasnikov, Alexei; Nicaud, Cyril; Nikolaev, Andrey; Rivin, Igor; Shpilrain, Vladimir; Ushakov, Alexander; Weil, Pascal 6 2020 The nonamenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups. Zbl 1040.20033 Kapovich, Ilya 6 2002 Translation equivalence in free groups. Zbl 1119.20037 Kapovich, Ilya; Levitt, Gilbert; Schupp, Paul; Shpilrain, Vladimir 5 2007 Subset currents on free groups. Zbl 1288.20053 Kapovich, Ilya; Nagnibeda, Tatiana 5 2013 Spectral rigidity of automorphic orbits in free groups. Zbl 1261.20040 Carette, Mathieu; Francaviglia, Stefano; Kapovich, Ilya; Martino, Armando 5 2012 The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With the appendix by Khalid Bou-Rabee. Zbl 1419.57004 Gupta, Neha; Kapovich, Ilya 5 2019 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045 Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Geometric entropy of geodesic currents on free groups. Zbl 1216.20034 Kapovich, Ilya; Nagnibeda, Tatiana 5 2010 Stable strata of geodesics in outer space. Zbl 1457.57035 Algom-Kfir, Yael; Kapovich, Ilya; Pfaff, Catherine 5 2019 Howson property and one-relator groups. Zbl 0922.20046 Kapovich, Ilya 4 1999 Relative hyperbolicity and Artin groups. Zbl 1080.20032 Kapovich, Ilya; Schupp, Paul 4 2004 Acylindrical accessibility for groups acting on \(\mathbb{R}\)-trees. Zbl 1080.20035 Kapovich, Ilya; Weidmann, Richard 4 2005 Kleinian groups and the rank problem. Zbl 1087.20035 Kapovich, Ilya; Weidmann, Richard 4 2005 Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups. Zbl 1277.20047 Kapovich, Ilya; Lukyanenko, Anton 4 2012 Musings on generic-case complexity. Zbl 1528.03174 Kapovich, Ilya 3 2020 A note on the Poénaru condition. Zbl 0996.20018 Kapovich, Ilya 2 2002 Unbounded asymmetry of stretch factors. (Asymétrie non bornée des facteurs d’étirement.) Zbl 1305.20034 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 2 2014 A non-quasiconvex subgroup of a hyperbolic group with an exotic limit set. Zbl 0879.20015 Kapovich, Ilya 2 1995 Random length-spectrum rigidity for free groups. Zbl 1268.20043 Kapovich, Ilya 2 2012 An integral weight realization theorem for subset currents on free groups. Zbl 1405.20029 Kapovich, Ilya 2 2017 Nielsen equivalence in a class of random groups. Zbl 1381.20038 Kapovich, Ilya; Weidmann, Richard 2 2016 On the absence of McShane-type identities for the outer space. Zbl 1169.57002 Kapovich, Ilya; Rivin, Igor 2 2008 Random outer automorphisms of free groups: attracting trees and their singularity structures. Zbl 1520.20093 Kapovich, Ilya; Maher, Joseph; Pfaff, Catherine; Taylor, Samuel J. 2 2022 On purely loxodromic actions. Zbl 1397.20056 Kapovich, Ilya 1 2016 Corrigendum: “Spectral rigidity of automorphic orbits in free groups”. Zbl 1307.20037 Carette, Mathieu; Francaviglia, Stefano; Kapovich, Ilya; Martino, Armando 1 2014 Counting conjugacy classes in \(\mathrm{Out}(F_{N})\). Zbl 1442.20027 Hull, Michael; Kapovich, Ilya 1 2018 Random trees in the boundary of outer space. Zbl 07525899 Kapovich, Ilya; Maher, Joseph; Pfaff, Catherine; Taylor, Samuel J. 1 2022 Random outer automorphisms of free groups: attracting trees and their singularity structures. Zbl 1520.20093 Kapovich, Ilya; Maher, Joseph; Pfaff, Catherine; Taylor, Samuel J. 2 2022 Random trees in the boundary of outer space. Zbl 07525899 Kapovich, Ilya; Maher, Joseph; Pfaff, Catherine; Taylor, Samuel J. 1 2022 Complexity and randomness in group theory. GAGTA book 1. Zbl 1515.20003 Bassino, Frédérique; Kapovich, Ilya; Lohrey, Markus; Miasnikov, Alexei; Nicaud, Cyril; Nikolaev, Andrey; Rivin, Igor; Shpilrain, Vladimir; Ushakov, Alexander; Weil, Pascal 6 2020 Musings on generic-case complexity. Zbl 1528.03174 Kapovich, Ilya 3 2020 Detecting fully irreducible automorphisms: a polynomial time algorithm. Zbl 1470.20019 Kapovich, Ilya; Bell, Mark C. 6 2019 The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With the appendix by Khalid Bou-Rabee. Zbl 1419.57004 Gupta, Neha; Kapovich, Ilya 5 2019 Stable strata of geodesics in outer space. Zbl 1457.57035 Algom-Kfir, Yael; Kapovich, Ilya; Pfaff, Catherine 5 2019 Counting conjugacy classes in \(\mathrm{Out}(F_{N})\). Zbl 1442.20027 Hull, Michael; Kapovich, Ilya 1 2018 McMullen polynomials and Lipschitz flows for free-by-cyclic groups. Zbl 1433.20012 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 15 2017 Endomorphisms, train track maps, and fully irreducible monodromies. Zbl 1423.20045 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 7 2017 An integral weight realization theorem for subset currents on free groups. Zbl 1405.20029 Kapovich, Ilya 2 2017 Cannon-Thurston maps for hyperbolic free group extensions. Zbl 1361.20030 Dowdall, Spencer; Kapovich, Ilya; Taylor, Samuel J. 7 2016 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045 Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Nielsen equivalence in a class of random groups. Zbl 1381.20038 Kapovich, Ilya; Weidmann, Richard 2 2016 On purely loxodromic actions. Zbl 1397.20056 Kapovich, Ilya 1 2016 Dynamics on free-by-cyclic groups. Zbl 1364.20026 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 19 2015 Cannon-Thurston fibers for iwip automorphisms of \(F_N\). Zbl 1325.20035 Kapovich, Ilya; Lustig, Martin 11 2015 A train track directed random walk on \(\mathrm{Out}(F_r)\). Zbl 1351.20025 Kapovich, Ilya; Pfaff, Catherine 7 2015 On hyperbolicity of free splitting and free factor complexes. Zbl 1315.20022 Kapovich, Ilya; Rafi, Kasra 28 2014 Algorithmic detectability of iwip automorphisms. Zbl 1319.20030 Kapovich, Ilya 15 2014 Invariant laminations for irreducible automorphisms of free groups. Zbl 1348.20035 Kapovich, Ilya; Lustig, Martin 7 2014 Unbounded asymmetry of stretch factors. (Asymétrie non bornée des facteurs d’étirement.) Zbl 1305.20034 Dowdall, Spencer; Kapovich, Ilya; Leininger, Christopher J. 2 2014 Corrigendum: “Spectral rigidity of automorphic orbits in free groups”. Zbl 1307.20037 Carette, Mathieu; Francaviglia, Stefano; Kapovich, Ilya; Martino, Armando 1 2014 Subset currents on free groups. Zbl 1288.20053 Kapovich, Ilya; Nagnibeda, Tatiana 5 2013 Spectral rigidity of automorphic orbits in free groups. Zbl 1261.20040 Carette, Mathieu; Francaviglia, Stefano; Kapovich, Ilya; Martino, Armando 5 2012 Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups. Zbl 1277.20047 Kapovich, Ilya; Lukyanenko, Anton 4 2012 Random length-spectrum rigidity for free groups. Zbl 1268.20043 Kapovich, Ilya 2 2012 Stabilizers of \(\mathbb{R}\)-trees with free isometric actions of \(F_N\). Zbl 1262.20031 Kapovich, Ilya; Lustig, Martin 8 2011 Intersection form, laminations and currents on free groups. Zbl 1242.20052 Kapovich, Ilya; Lustig, Martin 30 2010 Ping-pong and outer space. Zbl 1211.20027 Kapovich, Ilya; Lustig, Martin 19 2010 Domains of proper discontinuity on the boundary of outer space. Zbl 1259.20050 Kapovich, Ilya; Lustig, Martin 7 2010 Geometric entropy of geodesic currents on free groups. Zbl 1216.20034 Kapovich, Ilya; Nagnibeda, Tatiana 5 2010 Geometric intersection number and analogues of the curve complex for free groups. Zbl 1194.20046 Kapovich, Ilya; Lustig, Martin 41 2009 Random quotients of the modular group are rigid and essentially incompressible. Zbl 1167.22009 Kapovich, Ilya; Schuppp, Paul E. 7 2009 On group-theoretic models of randomness and genericity. Zbl 1239.20047 Kapovich, Ilya; Schupp, Paul 11 2008 On the absence of McShane-type identities for the outer space. Zbl 1169.57002 Kapovich, Ilya; Rivin, Igor 2 2008 The Patterson-Sullivan embedding and minimal volume entropy for outer space. Zbl 1135.20031 Kapovich, Ilya; Nagnibeda, Tatiana 23 2007 The subadditive ergodic theorem and generic stretching factors for free group automorphisms. Zbl 1173.20031 Kaimanovich, Vadim; Kapovich, Ilya; Schupp, Paul 13 2007 The actions of \(\text{Out}(F_k)\) on the boundary of outer space and on the space of currents: minimal sets and equivariant incompatibility. Zbl 1127.20025 Kapovich, Ilya; Lustig, Martin 13 2007 Densities in free groups and \(\mathbb{Z}^k\), visible points and test elements. Zbl 1132.20017 Kapovich, Ilya; Rivin, Igor; Schupp, Paul; Shpilrain, Vladimir 10 2007 Clusters, currents, and Whitehead’s algorithm. Zbl 1158.20014 Kapovich, Ilya 10 2007 Translation equivalence in free groups. Zbl 1119.20037 Kapovich, Ilya; Levitt, Gilbert; Schupp, Paul; Shpilrain, Vladimir 5 2007 Generic properties of Whitehead’s algorithm and isomorphism rigidity of random one-relator groups. Zbl 1149.20028 Kapovich, Ilya; Schupp, Paul; Shpilrain, Vladimir 38 2006 Currents on free groups. Zbl 1110.20034 Kapovich, Ilya 24 2006 Average-case complexity and decision problems in group theory. Zbl 1065.20044 Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 34 2005 Foldings, graphs of groups and the membership problem. Zbl 1089.20018 Kapovich, Ilya; Weidmann, Richard; Myasnikov, Alexei 27 2005 Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups. Zbl 1080.20029 Kapovich, Ilya; Schupp, Paul 26 2005 The frequency space of a free group. Zbl 1110.20031 Kapovich, Ilya 24 2005 Delzant’s \(T\)-invariant, Kolmogorov complexity and one-relator groups. Zbl 1151.20026 Kapovich, Ilya; Schupp, Paul 9 2005 Acylindrical accessibility for groups acting on \(\mathbb{R}\)-trees. Zbl 1080.20035 Kapovich, Ilya; Weidmann, Richard 4 2005 Kleinian groups and the rank problem. Zbl 1087.20035 Kapovich, Ilya; Weidmann, Richard 4 2005 Freely indecomposable groups acting on hyperbolic spaces. Zbl 1094.20022 Kapovich, Ilya; Weidmann, Richard 9 2004 Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion. Zbl 1070.20048 Kapovich, Ilya; Schupp, Paul 6 2004 Relative hyperbolicity and Artin groups. Zbl 1080.20032 Kapovich, Ilya; Schupp, Paul 4 2004 Generic-case complexity, decision problems in group theory, and random walks. Zbl 1041.20021 Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 107 2003 Nielsen methods and groups acting on hyperbolic spaces. Zbl 1025.20029 Kapovich, Ilya; Weidmann, Richard 9 2003 Stallings foldings and subgroups of free groups. Zbl 1001.20015 Kapovich, Ilya; Myasnikov, Alexei 120 2002 Boundaries of hyperbolic groups. Zbl 1044.20028 Kapovich, Ilya; Benakli, Nadia 97 2002 Subgroup properties of fully residually free groups. Zbl 0983.20022 Kapovich, Ilya 9 2002 The nonamenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups. Zbl 1040.20033 Kapovich, Ilya 6 2002 A note on the Poénaru condition. Zbl 0996.20018 Kapovich, Ilya 2 2002 The combination theorem and quasiconvexity. Zbl 1025.20028 Kapovich, Ilya 17 2001 On the failure of the co-Hopf property for subgroups of word-hyperbolic groups. Zbl 0991.20031 Kapovich, Ilya; Wise, Daniel T. 8 2001 The equivalence of some residual properties of word-hyperbolic groups. Zbl 0951.20029 Kapovich, Ilya; Wise, Daniel T. 23 2000 Mapping tori of endomorphisms of free groups. Zbl 0953.20035 Kapovich, Ilya 20 2000 A non-quasiconvexity embedding theorem for hyperbolic groups. Zbl 0942.20026 Kapovich, Ilya 11 1999 On the structure of two-generated hyperbolic groups. Zbl 0931.20036 Kapovich, Ilya; Weidmann, Richard 7 1999 Two-generated groups acting on trees. Zbl 0988.20012 Kapovich, Ilya; Weidmann, Richard 6 1999 Howson property and one-relator groups. Zbl 0922.20046 Kapovich, Ilya 4 1999 Small cancellation groups and translation numbers. Zbl 0885.20023 Kapovich, Ilya 8 1997 Quasiconvexity and amalgams. Zbl 0912.20031 Kapovich, Ilya 7 1997 Amalgamated products and the Howson property. Zbl 0886.20018 Kapovich, Ilya 6 1997 Greenberg’s theorem for quasiconvex subgroups of word hyperbolic groups. Zbl 0873.20025 Kapovich, Ilya; Short, Hamish 32 1996 Detecting quasiconvexity: Algorithmic aspects. Zbl 0859.20026 Kapovich, Ilya 10 1996 A non-quasiconvex subgroup of a hyperbolic group with an exotic limit set. Zbl 0879.20015 Kapovich, Ilya 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 581 Authors 49 Kapovich, Ilya 27 Rybalov, Aleksandr Nikolaevich 26 Myasnikov, Alexei G. 12 Schupp, Paul E. 10 Horbez, Camille 10 Martino, Armando 10 Shpilrain, Vladimir 10 Silva, Pedro V. 10 Taylor, Samuel Joseph 10 Ushakov, Alexander S. 10 Ventura Capell, Enric 10 Weidmann, Richard 10 Weil, Pascal 9 Francaviglia, Stefano 9 Lustig, Martin 8 Dowdall, Spencer 8 Lohrey, Markus 7 Ciobanu, Laura 7 Logan, Alan D. 7 Minasyan, Ashot 7 Osin, Denis V. 7 Pfaff, Catherine 7 Remeslennikov, Vladimir Nikanorovich 7 Sisto, Alessandro 6 Guirardel, Vincent 6 Kharlampovich, Olga G. 6 Leininger, Christopher J. 6 Maher, Joseph 6 Puder, Doron 6 Serbin, Denis E. 6 Uyanik, Caglar 5 Cashen, Christopher H. 5 Gupta, Radhika 5 Hirschfeldt, Denis Roman 5 Jockusch, Carl G. jun. 5 Lee, Donghi 5 Mackay, John M. 5 Mj, Mahan 5 Rafi, Kasra 5 Steinberg, Benjamin 5 Touikan, Nicholas W. M. 5 Weiß, Armin 4 Antolín, Yago 4 Bassino, Frédérique 4 Bestvina, Mladen 4 Delgado, Jordi 4 Hilion, Arnaud 4 Kunyavskiĭ, Boris Èmmanuilovich 4 Levitt, Gilbert 4 Manning, Jason Fox 4 Mosher, Lee 4 Mutanguha, Jean Pierre 4 Nicaud, Cyril 4 Pal, Abhijit 4 Roman’kov, Vitaly Anatol’evich 4 Sapir, Mark Valentinovich 4 Sardar, Pranab 4 Zakharov, Alexander 4 Zalesskii, Pavel 3 Algom-Kfir, Yael 3 Auinger, Karl 3 Balasubramanya, Sahana H. 3 Borovik, Alexandre V. 3 Cantrell, Stephen 3 Charney, Ruth Michele 3 Cordes, Matthew 3 D’angeli, Daniele 3 Diekert, Volker 3 Fine, Benjamin L. 3 Gilman, Robert H. 3 Glasner, Yair 3 Goulet-Ouellet, Herman 3 Haïssinsky, Peter 3 Hamenstädt, Ursula 3 Handel, Michael 3 Haubold, Niko 3 Huang, Jingyin 3 Igusa, Gregory 3 Ivanov, Sergei Vladimirovich 3 Le Donne, Enrico 3 Lee, Sangjin 3 Martin, Alexandre 3 Martínez-Pedroza, Eduardo 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Putman, Andrew 3 Qing, Yulan 3 Rodaro, Emanuele 3 Rosenberger, Gerhard 3 Sasaki, Dounnu 3 Shusterman, Mark 3 Stark, Emily 3 Wade, Richard D. 3 Wise, Daniel T. 3 Zimmer, Andrew M. 2 Abbott, Carolyn R. 2 Aougab, Tarik 2 Araújo, Vítor 2 Arora, Shivam 2 Astor, Eric P. 2 Baker, Owen ...and 481 more Authors all top 5 Cited in 130 Serials 48 International Journal of Algebra and Computation 45 Journal of Algebra 30 Algebraic & Geometric Topology 29 Geometriae Dedicata 28 Transactions of the American Mathematical Society 25 Groups, Geometry, and Dynamics 19 Geometry & Topology 19 Prikladnaya Diskretnaya Matematika 15 Communications in Algebra 15 Advances in Mathematics 15 Mathematische Annalen 12 Journal of Group Theory 10 Israel Journal of Mathematics 10 Inventiones Mathematicae 9 Proceedings of the American Mathematical Society 9 Ergodic Theory and Dynamical Systems 9 Groups, Complexity, Cryptology 8 Annales de l’Institut Fourier 8 Journal of the London Mathematical Society. Second Series 8 The Journal of Symbolic Logic 8 Mathematische Zeitschrift 7 Topology and its Applications 7 Geometric and Functional Analysis. GAFA 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Algebra and Logic 6 Bulletin of the London Mathematical Society 6 Illinois Journal of Mathematics 6 Journal für die Reine und Angewandte Mathematik 6 Journal of Topology 5 Journal of Pure and Applied Algebra 5 Theoretical Computer Science 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Conformal Geometry and Dynamics 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Topology and Analysis 5 Journal of Combinatorial Algebra 4 Duke Mathematical Journal 4 Journal of Mathematical Sciences (New York) 4 Theory of Computing Systems 4 Analysis and Geometry in Metric Spaces 3 Rocky Mountain Journal of Mathematics 3 Archiv der Mathematik 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Publicacions Matemàtiques 3 Experimental Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Computability 2 Commentarii Mathematici Helvetici 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Semigroup Forum 2 Journal of Symbolic Computation 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Archive for Mathematical Logic 2 Applicable Algebra in Engineering, Communication and Computing 2 Computational Complexity 2 Topology Proceedings 2 Communications in Contemporary Mathematics 2 Mediterranean Journal of Mathematics 2 Chebyshevskiĭ Sbornik 2 Bulletin of Mathematical Sciences 2 Forum of Mathematics, Sigma 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Russian Mathematical Surveys 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Fundamenta Mathematicae 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computer and System Sciences 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Combinatorica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Algorithmica 1 Forum Mathematicum 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Designs, Codes and Cryptography 1 L’Enseignement Mathématique. 2e Série 1 Glasnik Matematički. Serija III 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Algebra Colloquium ...and 30 more Serials all top 5 Cited in 39 Fields 497 Group theory and generalizations (20-XX) 182 Manifolds and cell complexes (57-XX) 90 Computer science (68-XX) 75 Dynamical systems and ergodic theory (37-XX) 57 Combinatorics (05-XX) 54 Mathematical logic and foundations (03-XX) 47 Differential geometry (53-XX) 40 Functions of a complex variable (30-XX) 29 Topological groups, Lie groups (22-XX) 25 Probability theory and stochastic processes (60-XX) 15 Number theory (11-XX) 13 Information and communication theory, circuits (94-XX) 11 Abstract harmonic analysis (43-XX) 9 Algebraic geometry (14-XX) 9 Functional analysis (46-XX) 8 Geometry (51-XX) 8 General topology (54-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Algebraic topology (55-XX) 5 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 General algebraic systems (08-XX) 3 \(K\)-theory (19-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year