Equilibrium states for non-uniformly hyperbolic systems: Statistical properties and analyticity
نویسندگان
چکیده
منابع مشابه
Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes
In this paper we consider horseshoes containing an orbit of homoclinic tangency accumulated by periodic points. We prove a version of the Invariant Manifolds Theorem, construct finite Markov partitions and use them to prove the existence and uniqueness of equilibrium states associated to Hölder continuous potentials.
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We give a new proof of the fact that the eigenvalues at correspondig periodic orbits form a complete set of invariants for the smooth conjugacy of low dimensional Anosov systems. We also show that, if a homeomorphism conjugating two smooth low dimensional Anosov systems is absolutely continuous , then it is as smooth as the maps. We furthermore prove generalizations of thse facts for non-unifor...
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ژورنال
عنوان ژورنال: Discrete & Continuous Dynamical Systems
سال: 2021
ISSN: 1553-5231
DOI: 10.3934/dcds.2021045