Decay of correlations for maximal measure of maps derived from Anosov

2016/10/03 by Fan Yang, Jiagang Yang, Yang, Fan +1
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1610.00796

openalex publication_date 2016/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was proven by Ures that C¹ diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has exponential decay of correlations for Hölder observables, assuming the middle eigenvalue of the linear Anosov model is contracting.

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