Ilya Kapovich

发表

DENSITIES IN FREE GROUPS AND Z k , VISIBLE POINTS AND TEST ELEMENTS

Igor Rivin, P. Schupp, V. Shpilrain, 2005 .

On mathematical contributions of Paul E. Schupp

Ilya Kapovich, 2010 .

Delzant's T-invariant and one-relator groups

P. Schupp, Ilya Kapovich, 2003 .

The Subadditive Ergodic Theorem and generic stretching factors for free group automorphisms

Ilya Kapovich, Paul Schupp, P. Schupp, 2005, math/0504105.

Stallings foldings and the subgroup structure of free groups

A. Myasnikov, Ilya Kapovich, 2002, math/0202285.

The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With the appendix by Khalid Bou–Rabee

N. Gupta, Ilya Kapovich, 2014, Mathematical Proceedings of the Cambridge Philosophical Society.

Algorithmic detectability of iwip automorphisms

Ilya Kapovich, 2012, 1209.3732.

Subset currents on free groups

T. Nagnibeda, Ilya Kapovich, 2011, 1105.5742.

Generalized geodesic currents on free groups

T. Nagnibeda, Ilya Kapovich, 2011 .

Bounded Rank Subgroups of Coxeter Groups, Artin Groups and One‐Relator Groups with Torsion

Ilya Kapovich, Paul Schupp, P. Schupp, 2002, math/0201106.

Mapping tori of endomorphisms of free groups

Ilya Kapovich, 2000 .

An integral weight realization theorem for subset currents on free groups

Ilya Kapovich, 2012, 1211.5836.

On the fibers of the Cannon-Thurston map for free-by-cyclic groups

M. Lustig, Ilya Kapovich, 2012 .

Acylindrical accessibility for groups acting on ℝ-trees

Ilya Kapovich, R. Weidmann, 2005 .

Erratum to “Subgroup properties of fully residually free groups”

Ilya Kapovich, 2002 .

Random quotients of the modular group are rigid and essentially incompressible

P. Schupp, Ilya Kapovich, 2006, math/0604343.

On group-theoretic models of randomness and genericity

P. Schupp, Ilya Kapovich, 2007, 0705.4681.

Densities in free groups and $\mathbb{Z}^k$, Visible Points and Test Elements

Igor Rivin, P. Schupp, V. Shpilrain, 2005, math/0507573.

Kleinian groups and the rank problem

Ilya Kapovich, R. Weidmann, 2004, math/0407438.

THE GEOMETRY OF RELATIVE CAYLEY GRAPHS FOR SUBGROUPS OF HYPERBOLIC GROUPS

Ilya Kapovich, 2002, math/0201045.

Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups

H. Short, Ilya Kapovich, 1996, Canadian Journal of Mathematics - Journal Canadien de Mathematiques.

A note on the Poénaru condition

Ilya Kapovich, 2001 .

A note on the Ponaru condition

Ilya Kapovich, 2001 .

Generic-case complexity of Whitehead's algorithm, revisited

Ilya Kapovich, 2019, 1903.07040.

Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space

M. Lustig, Ilya Kapovich, 2014, 1406.0434.

Random length-spectrum rigidity for free groups

Ilya Kapovich, 2010, 1001.1729.

The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility

M. Lustig, Ilya Kapovich, 2006, Ergodic Theory and Dynamical Systems.

G R ] 1 9 M ay 2 00 6 THE ACTIONS OF Out ( F k ) ON THE BOUNDARY OFOUTER SPACE AND ON THE SPACE OF CURRENTS : MINIMAL SETS AND EQUIVARIANT INCOMPATIBILITY

M. Lustig, Ilya Kapovich, 2006 .

Delzant's $T$-invariant, Kolmogorov complexity and one-relator groups

P. Schupp, Ilya Kapovich, 2003, math/0305353.

The Subadditive Ergodic Theorem and generic stretching factors for free group automorphisms

P. Schupp, V. Kaimanovich, Ilya Kapovich, 2005, math/0504105.

Stallings foldings and the subgroup structure of free groups

A. Myasnikov, Ilya Kapovich, 2002, math/0202285.

Boundaries of hyperbolic groups

Ilya Kapovich, N. Benakli, 2002, math/0202286.

Random outer automorphisms of free groups: Attracting trees and their singularity structures

Samuel J. Taylor, Ilya Kapovich, Joseph Maher, 2018, Transactions of the American Mathematical Society.

The Frequency Space of a Free Group

Ilya Kapovich, 2003, Int. J. Algebra Comput..

Foldings, Graphs of Groups and the Membership Problem

A. Myasnikov, Ilya Kapovich, R. Weidmann, 2003, Int. J. Algebra Comput..

Densities in free groups and $\mathbb{Z}^k$, Visible Points and Test Elements

Igor Rivin, P. Schupp, V. Shpilrain, 2005, math/0507573.

Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups

P. Schupp, Ilya Kapovich, 2002, math/0210307.

Kleinian groups and the rank problem

Ilya Kapovich, R. Weidmann, 2004, math/0407438.

Subset currents on free groups

T. Nagnibeda, Ilya Kapovich, 2012, Geometriae Dedicata.

Freely Indecomposable Groups Acting on Hyperbolic Spaces

Ilya Kapovich, R. Weidmann, 2002, Int. J. Algebra Comput..

Acylindrical accessibility for groups acting on $\mathbf R$-trees

Ilya Kapovich, R. Weidmann, 2002, math/0210308.

THE NON-AMENABILITY OF SCHREIER GRAPHS FOR INFINITE INDEX QUASICONVEX SUBGROUPS OF HYPERBOLIC GROUPS

Ilya Kapovich, 2002, math/0201076.

THE GEOMETRY OF RELATIVE CAYLEY GRAPHS FOR SUBGROUPS OF HYPERBOLIC GROUPS

Ilya Kapovich, 2002, math/0201045.

The Frattini subgroup for subgroups of hyperbolic groups

Ilya Kapovich, 2001, math/0201002.

Quasiconvexity and Amalgams

Ilya Kapovich, 1995, Int. J. Algebra Comput..

An example of a non-quasiconvex subgroup of a word hyperbolic group with exotic limit set

Ilya Kapovich, 1995, math/9506207.

Relative Hyperbolicity and Artin Groups

P. Schupp, Ilya Kapovich, 2002, math/0209058.

Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups

Ilya Kapovich, Paul Schupp, P. Schupp, 2002, math/0210307.

Nielsen Methods and Groups Acting on Hyperbolic Spaces

Ilya Kapovich, R. Weidmann, 2002, math/0203014.

Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups

Ilya Kapovich, Anton Lukyanenko, 2012, 1204.4193.

Generic-case complexity, decision problems in group theory and random walks

Ilya Kapovich, Paul E. Schupp, Alexei G. Myasnikov, 2002, ArXiv.

Clusters, Currents, and Whitehead's Algorithm

Ilya Kapovich, 2005, Exp. Math..

Detecting quasiconvexity: algorithmic aspects, from: “Geometric and

Ilya Kapovich, 1995 .

Primitivity index bounds in free groups, and the second Chebyshev function

Ilya Kapovich, Zach Simon, 2020, Int. J. Algebra Comput..

Stallings Foldings and Subgroups of Free Groups

Ilya Kapovich, Alexei G. Myasnikov, A. Myasnikov, 2002 .

Dynamics on free-by-cyclic groups

C. Leininger, S. Dowdall, Ilya Kapovich, 2013, 1301.7739.

Endomorphisms, train track maps, and fully irreducible monodromies

C. Leininger, S. Dowdall, Ilya Kapovich, 2015, 1507.03028.

McMullen polynomials and Lipschitz flows for free-by-cyclic groups

Ilya Kapovich, Spencer Dowdall, Christopher J. Leininger, 2013, 1310.7481.

On purely loxodromic actions

Ilya Kapovich, 2015, 1504.05172.

Conical limit points and the Cannon-Thurston map

C. Leininger, Ilya Kapovich, Ken'ichi Ohshika, 2014, 1401.2638.

On the absence of McShane-type identities for the outer space

Igor Rivin, Ilya Kapovich, 2006, math/0602291.

Detecting quasiconvexity: Algorithmic aspects

Ilya Kapovich, 1995, Geometric and Computational Perspectives on Infinite Groups.

On purely loxodromic actions

Ilya Kapovich, 2015, Monatshefte für Mathematik.

Stabilizers of ℝ-trees with free isometric actions of FN

M. Lustig, Ilya Kapovich, 2009, 0904.1881.

Domains of proper discontinuity on the boundary of Outer space

M. Lustig, Ilya Kapovich, 2009, 0902.4263.

PING-PONG AND OUTER SPACE

M. Lustig, Ilya Kapovich, 2009, 0902.4017.

2 5 A ug 2 00 4 KLEINIAN GROUPS AND THE RANK PROBLEM

Ilya Kapovich, R. Weidmann, 2022 .

Small cancellation groups and translation numbers

Ilya Kapovich, 1996, math/9611203.

Geometric Intersection Number and analogues of the Curve Complex for free groups

M. Lustig, Ilya Kapovich, 2007, 0711.3806.

Spectral rigidity of automorphic orbits in free groups

Ilya Kapovich, A. Martino, Mathieu Carette, 2012 .

Corrigendum: “Spectral rigidity of automorphic orbits in free groups”

Ilya Kapovich, A. Martino, Mathieu Carette, 2011, 1106.0688.

On hyperbolicity of free splitting and free factor complexes

Ilya Kapovich, Kasra Rafi, 2012, 1206.3626.

Nielsen equivalence in a class of random groups

Ilya Kapovich, R. Weidmann, 2013, 1309.7458.

Nielsen equivalence in small cancellation groups

Ilya Kapovich, R. Weidmann, 2010, 1011.5862.

Rigidity of Length Functions over Strata of Flat Metrics

Ilya Kapovich, N. Dunfield, J. Athreya, 2014 .

Stable Strata of Geodesics in Outer Space

Ilya Kapovich, Yael Algom-Kfir, Catherine Pfaff, 2017, 1706.00673.

Geometric entropy of geodesic currents on free groups

T. Nagnibeda, Ilya Kapovich, 2008, 0810.4728.

Intersection Form, Laminations and Currents on Free Groups

M. Lustig, Ilya Kapovich, 2007, 0711.4337.

The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility

M. Lustig, Ilya Kapovich, 2006, Ergodic Theory and Dynamical Systems.

The Patterson–Sullivan Embedding and Minimal Volume Entropy for Outer Space

T. Nagnibeda, Ilya Kapovich, 2005, math/0504445.

Currents on free groups

Ilya Kapovich, 2004, math/0412128.

Random trees in the boundary of outer space

Samuel J. Taylor, Ilya Kapovich, Joseph Maher, 2019, Geometry & Topology.

Cannon–Thurston maps for hyperbolic free group extensions

Samuel J. Taylor, S. Dowdall, Ilya Kapovich, 2015, 1506.06974.

Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm

Ilya Kapovich, Mark C. Bell, Ilya Kapovich, 2016, Exp. Math..

Counting conjugacy classes of fully irreducibles: double exponential growth

Ilya Kapovich, Catherine Pfaff, 2018, 1801.07471.

COUNTING CONJUGACY CLASSES IN $\text{Out}(F_{N})$

Ilya Kapovich, M. Hull, 2017, Bulletin of the Australian Mathematical Society.

Cannon–Thurston maps for hyperbolic free group extensions

Samuel J. Taylor, S. Dowdall, Ilya Kapovich, 2016, Israel Journal of Mathematics.

A train track directed random walk on Out(Fr)

Ilya Kapovich, Catherine Pfaff, Ilya Kapovich, 2014, Int. J. Algebra Comput..

The Combination Theorem and Quasiconvexity

Ilya Kapovich, Ilya Kapovich, 2001, Int. J. Algebra Comput..

A Non-quasiconvex Subgroup of a Hyperbolic Group with an Exotic Limit Set

Ilya Kapovich, 1995 .

Some Quantitative Aspects of Fractional Computability pdf

Ilya Kapovich, Paul E. Schupp, P. Schupp, 2007, ArXiv.

Cannon–Thurston maps for hyperbolic free group extensions

Samuel J. Taylor, S. Dowdall, Ilya Kapovich, 2015, Israel Journal of Mathematics.

Howson property and one-relator groups 1

Ilya Kapovich, 1999 .