New Criteria of Generic Hyperbolicity based on Periodic Points (original) (raw)

A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms

Jana Rodriguez Hertz

arXiv preprint arXiv:0710.2353, 2007

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Nonuniform hyperbolicity for C 1-generic diffeomorphisms

christian bonatti

Israel Journal of Mathematics, 2011

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New criteria for ergodicity and non-uniform hyperbolicity

Raúl Ures, Jana Rodriguez Hertz, Ali Tahzibi

2009

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A C 1 -generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources

christian bonatti

Annals of Mathematics, 2003

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Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I

Vadim Kaloshin

Annals of Mathematics, 2007

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Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle

Jana Rodriguez Hertz

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On the Bernoulli property for certain partially hyperbolic diffeomorphisms

Ali Tahzibi

arXiv (Cornell University), 2016

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Nonuniform center bunching and the genericity of ergodicity among C1C^1C1 partially hyperbolic symplectomorphisms

Amie Wilkinson

Annales scientifiques de l'École normale supérieure, 2009

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The embedding flows of C ∞ hyperbolic diffeomorphisms

Xiang Zhang

Journal of Differential Equations - J DIFFERENTIAL EQUATIONS, 2011

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Hyperbolicity for Conservative Diffeomorphisms

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Linearization of normally hyperbolic diffeomorphisms and flows

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Inventiones Mathematicae, 1970

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Exceptional Sets for Nonuniformly Hyperbolic Diffeomorphisms

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On hyperbolic measures and periodic orbits

Ilie Ugarcovici

Discrete and Continuous Dynamical Systems, 2006

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Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms

Jana Rodriguez Hertz

arXiv preprint math/0609365, 2006

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On maximal transitive sets of generic diffeomorphisms

christian bonatti

Publications mathématiques de l'IHÉS, 2003

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Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms

Michael Shub

Discrete and Continuous Dynamical Systems, 2006

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Openness of Non-Uniform Hyperbolic Diffeomorphisms with Bounded -Norm

Karina Marin

Ergodic Theory and Dynamical Systems, 2019

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Regularity of Invariant Manifolds for Nonuniformly Hyperbolic Dynamics

César Silva

Journal of Dynamics and Differential Equations, 2008

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Asymptotic approach to periodic orbits and local prolongations of maps

Robert Sacker

Pacific Journal of Mathematics, 1974

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A Livšic type theorem for germs of analytic diffeomorphisms

Mario Ponce

Nonlinearity, 2012

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On the ergodicity of partially hyperbolic systems

Amie Wilkinson

Annals of Mathematics, 2010

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DISCRETE AND CONTINUOUS UNIQUE ERGODICITY, STABLE ERGODICITY, AND THE MAUTNER PHENOMENON FOR DIFFEOMORPHISMS

Michael Shub

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Non-uniform hyperbolicity and non-uniform specification

Krerley Oliveira

Transactions of the American Mathematical Society, 2013

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Ergodic theory of equivariant diffeomorphisms: Markov partitions and stable ergodicity

Michael Field

Memoirs of the American Mathematical Society, 2004

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A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

Roberto Markarian

Ergodic Theory and Dynamical Systems, 2013

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How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency

Vadim Kaloshin

Advances in Mathematics, 2007

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Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

christian bonatti

Inventiones mathematicae, 2016

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Non-periodic bifurcations for surface diffeomorphisms

Nivaldo Muniz

Transactions of the American Mathematical Society, 2015

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Notes on Ergodicity of Partially Hyperbolic Systems

Amie Wilkinson

2008

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A λ-lemma for normally hyperbolic invariant manifolds

Jacky Cresson

Regular and Chaotic Dynamics, 2015

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Stably ergodic diffeomorphisms which are not partially hyperbolic

Ali Tahzibi

Israel Journal of Mathematics, 2004

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Shadowing by non-uniformly hyperbolic periodic points and uniform hyperbolicity

Armando Castro

Nonlinearity, 2007

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Differentiability and Continuity of Invariant Manifolds*

Michael Shub

Annals of the New York Academy of Sciences, 1980

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