arXiv:1901.04631 Abstract | arXiv Analytics

arXiv:1901.04631 [math.DS]Abstract References Reviews Resources

Equilibrium states of almost Anosov diffeomorphisms

Published 2019-01-15Version 1

We develop a thermodynamic formalism for a class of diffeomorphisms of a torus that are "almost-Anosov". In particular, we use a Young tower construction to prove the existence and uniqueness of equilibrium states for a collection of non-H\"older continuous geometric potentials over almost Anosov systems with an indifferent fixed point, as well as prove exponential decay of correlations and the central limit theorem for these equilibrium measures.

Categories: math.DS

Keywords: equilibrium states, anosov diffeomorphisms, central limit theorem, young tower construction, continuous geometric potentials

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