Identifiers
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name variant
Ilya Kapovich
0.60 · backfill
Papers (69)
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On quantitative aspects of trace polynomials
math.GR · 2026 · author #1
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Generic-case complexity of Whitehead's algorithm, revisited
math.GR · 2019 · author #1
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Random outer automorphisms of free groups: Attracting trees and their singularity structures
math.GR · 2018 · author #1
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Counting Conjugacy Classes in $Out(F_N)$
math.GR · 2017 · author #2
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Stable Strata of Geodesics in Outer Space
math.GR · 2017 · author #2
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Detecting fully irreducible automorphisms: a polynomial time algorithm. With an appendix by Mark C. Bell
math.GR · 2016 · author #1
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Endomorphisms, train track maps, and fully irreducible monodromies
math.GR · 2015 · author #2
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Cannon-Thurston maps for hyperbolic free group extensions
math.GR · 2015 · author #2
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Musings on generic-case complexity
cs.CC · 2015 · author #1
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On purely loxodromic actions
math.GR · 2015 · author #1
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The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With an appendix by Khalid Bou-Rabee
math.GR · 2014 · author #2
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A train track directed random walk on $Out(F_r)$
math.GR · 2014 · author #1
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Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space
math.GR · 2014 · author #1
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Unbounded asymmetry of stretch factors
math.GR · 2014 · author #2
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Conical limit points and the Cannon-Thurston map
math.GR · 2014 · author #2
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McMullen polynomials and Lipschitz flows for free-by-cyclic groups
math.GT · 2013 · author #2
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Nielsen equivalence in a class of random groups
math.GR · 2013 · author #1
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Dynamics on free-by-cyclic groups
math.GT · 2013 · author #2
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An integral weight realization theorem for subset currents on free groups
math.GR · 2012 · author #1
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Algorithmic detectability of iwip automorphisms
math.GR · 2012 · author #1
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Cannon-Thurston fibers for iwip automorphisms of $F_N$
math.GR · 2012 · author #1
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On hyperbolicity of free splitting and free factor complexes
math.GR · 2012 · author #1
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Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups
math.GT · 2012 · author #1
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Spectral rigidity of automorphic orbits in free groups
math.GR · 2011 · author #3
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Subset currents on free groups
math.GR · 2011 · author #1
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Invariant laminations for irreducible automorphisms of free groups
math.GR · 2011 · author #1
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Nielsen equivalence in small cancellation groups
math.GR · 2010 · author #1
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Random length-spectrum rigidity for free groups
math.GR · 2010 · author #1
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Stabilizers of $\mathbb R$-trees with free isometric actions of $F_N$
math.GR · 2009 · author #1
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Domains of proper discontinuity on the boundary of Outer space
math.GR · 2009 · author #1
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Ping-pong and Outer space
math.GR · 2009 · author #1
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Geometric entropy of geodesic currents on free groups
math.GR · 2008 · author #1
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Intersection form, laminations and currents on free groups
math.GT · 2007 · author #1
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Geometric Intersection Number and analogues of the Curve Complex for free groups
math.GR · 2007 · author #1
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Some Quantitative Aspects of Fractional Computability
math.GR · 2007 · author #1
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On group-theoretic models of randomness and genericity
math.GR · 2007 · author #1
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The actions of $Out(F_k)$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility
math.GR · 2006 · author #1
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Random quotients of the modular group are rigid and essentially incompressible
math.GR · 2006 · author #1
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On the absence of McShane-type identities for the outer space
math.GR · 2006 · author #1
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Clusters, currents and Whitehead's algorithm
math.GR · 2005 · author #1
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Densities in free groups and $\mathbb{Z}^k$, Visible Points and Test Elements
math.GR · 2005 · author #1
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The Patterson-Sullivan embedding and minimal volume entropy for outer space
math.GR · 2005 · author #1
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The Subadditive Ergodic Theorem and generic stretching factors for free group automorphisms
math.GR · 2005 · author #2
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Currents on free groups
math.GR · 2004 · author #1
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Translation equivalence in free groups
math.GR · 2004 · author #1
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Kleinian groups and the rank problem
math.GT · 2004 · author #1
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The frequency space of a free group
math.GR · 2003 · author #1
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Delzant's T-invariant, Kolmogorov complexity and one-relator groups
math.GR · 2003 · author #1
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Generic properties of Whitehead's Algorithm and isomorphism rigidity of random one-relator groups
math.GR · 2003 · author #1
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Foldings, graphs of groups and the membership problem
math.GR · 2003 · author #1
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Acylindrical accessibility for groups acting on $\mathbf R$-trees
math.GR · 2002 · author #1
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Genericity, the Arzhantseva-Ol'shanskii method and the Isomorphism Problem for One-Relator Groups
math.GR · 2002 · author #1
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Relative hyperbolicity and Artin groups
math.GR · 2002 · author #1
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A remark on mapping tori of free group endomorphisms
math.GR · 2002 · author #1
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Average-case complexity and decision problems in group theory
math.GR · 2002 · author #1
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Generic-case complexity, decision problems in group theory and random walks
math.GR · 2002 · author #1
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Freely indecomposable groups acting on hyperbolic spaces
math.GR · 2002 · author #1
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Nielsen methods and groups acting on hyperbolic spaces
math.GR · 2002 · author #1
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Boundaries of hyperbolic groups
math.GR · 2002 · author #1
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Stallings foldings and the subgroup structure of free groups
math.GR · 2002 · author #1
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Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion
math.GR · 2002 · author #1
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The non-amenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups
math.GR · 2002 · author #1
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The geometry of relative Cayley graphs for subgroups of hyperbolic groups
math.GR · 2002 · author #1
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The Frattini subgroup for subgroups of hyperbolic groups
math.GR · 2001 · author #1
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A non-quasiconvexity embedding theorem for hyperbolic groups
math.GR · 1997 · author #1
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Small cancellation groups and translation numbers
math.GR · 1996 · author #1
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An example of a non-quasiconvex subgroup of a word hyperbolic group with exotic limit set
math.GR · 1995 · author #1
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Detecting quasiconvexity: algorithmic aspects
math.GR · 1995 · author #1
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Quasiconvexity and Amalgams
math.GR · 1995 · author #1
Mentions
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1406.0434
#1 · backfill · confidence 0.70
Ilya Kapovich
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1405.0771
#2 · backfill · confidence 0.70
Ilya Kapovich
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1401.2638
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Ilya Kapovich
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1310.7481
#2 · backfill · confidence 0.70
Ilya Kapovich
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1309.7458
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Ilya Kapovich
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2605.25265
#1 · arxiv_oai · confidence 0.70
Ilya Kapovich
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1301.7739
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1211.5836
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Ilya Kapovich
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1209.3732
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1207.3494
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1206.3626
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1204.4193
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1106.0688
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1105.5742
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1104.1265
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1011.5862
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1001.1729
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0904.1881
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0902.4263
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0902.4017
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0810.4728
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0711.4337
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0711.3806
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0706.4095
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0705.4681
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Ilya Kapovich