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Anatole Katok

Introduction to the modern theory of dynamical systems
1996 · Katok, Anatole, Hasselblatt, Boris · Choice Reviews Online · 3,577
Introduction to the Modern Theory of Dynamical Systems
1995 · Anatole Katok, Boris Hasselblatt · Cambridge University Press eBooks · 2,174
Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities
1986 · Anatole Katok, Jean-Marie Strelcyn, et al. · Lecture notes in mathematics · 320
A First Course in Dynamics
2003 · Boris Hasselblatt, Anatole Katok · Cambridge University Press eBooks · 233
A First Course in Dynamics: With a Panorama of Recent Developments
2010 · Boris Hasselblatt, Anatole Katok · 187
Invariant measures and the set of exceptions to Littlewood’s conjecture
2006 · Manfred Einsiedler, Anatole Katok, et al. · Annals of Mathematics · 182
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First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
1994 · Anatole Katok, Ralph J. Spatzier · Publications mathématiques de l IHÉS · 157
Fifty years of entropy in dynamics: 1958--2007
2007 · Anatole Katok · Journal of Modern Dynamics · 152
Interval exchange transformations and some special flows are not mixing
1980 · Anatole Katok · Israel Journal of Mathematics · 146
Constructions in elliptic dynamics
2004 · BASSAM FAYAD, ANATOLE KATOK · Ergodic Theory and Dynamical Systems · 111
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Smooth Ergodic Theory and Its Applications
2001 · Katok, Anatole, de la Llave, Rafael, et al. · Proceedings of symposia in pure mathematics · 108
Combinatorial Constructions in Ergodic Theory and Dynamics
2003 · Anatole Katok · University lecture series · 86
Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians
1987 · David Bernstein, Anatole Katok · Inventiones mathematicae · 83
Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems
1994 · Anatole Katok, Keith Burns · Ergodic Theory and Dynamical Systems · 80
Caustics for inner and outer billiards
1995 · Eugene Gutkin, Anatole Katok · Communications in Mathematical Physics · 70
Spectral Properties and Combinatorial Constructions in Ergodic Theory
2006 · Anatole Katok, Jean-Paul Thouvenot · Handbook of dynamical systems · 69
Cocycles, cohomology and combinatorial constructions in ergodic theory
2001 · Anatole Katok · Proceedings of symposia in pure mathematics · 61
Local rigidity of partially hyperbolic actions I. KAM method and ℤkactions on the torus
2010 · Danijela Damjanović, Anatole Katok · Annals of Mathematics · 54
Rigidity of measurable structure for $\mathbb Z^d$-actions by automorphisms of a torus
2002 · Anatole Katok, S. Katok, et al. · Commentarii Mathematici Helvetici · 51
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Local Hyperbolic Theory and Its Applications
1995 · Anatole Katok, Boris Hasselblatt · Cambridge University Press eBooks · 49
Smooth models of Thurston's pseudo-Anosov maps
1982 · Marlies Gerber, Anatole Katok · Annales Scientifiques de l École Normale Supérieure · 49
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Rigidity in Higher Rank Abelian Group Actions
2011 · Anatole Katok, Viorel Niţică · Cambridge University Press eBooks · 47
Invariant measures on G/Γ for split simple Lie groups G
2003 · Manfred Einsiedler, Anatole Katok · Communications on Pure and Applied Mathematics · 45
Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows
1991 · Anatole Katok, Gerhard Knieper, et al. · Communications in Mathematical Physics · 44
Periodic cycle functions and cocycle rigidity for certain partially hyperbolic $\mathbb R^k$ actions
2005 · Danijela Damjanović, Anatole Katok · Discrete and Continuous Dynamical Systems · 42
Works count: 181
Citation count: 8,862
H-index: 32
I10-index: 53
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