# Equilibrium states of almost Anosov diffeomorphisms

## TL;DR

This paper develops a thermodynamic formalism for almost-Anosov diffeomorphisms on a torus, establishing existence, uniqueness, and statistical properties of equilibrium states despite non-H"older continuity.

## Contribution

It introduces a Young tower approach to analyze equilibrium states for almost-Anosov systems with indifferent fixed points, extending thermodynamic formalism to non-H"older potentials.

## Key findings

- Existence and uniqueness of equilibrium states for non-H"older potentials
- Exponential decay of correlations for these equilibrium measures
- Central limit theorem holds for the measures

## Abstract

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.