The central limit theorem and rate of mixing for simple random walks on the circle

2024/04/17 by Czudek, Klaudiusz, Dolgopyat, Dmitry · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2404.11700

Abstract

We prove the Central Limit Theorem and superpolynomial mixing for environment viewed for the particle process in quasi periodic Diophantine random environment. The main ingredients are smoothness estimates for the solution of the Poisson equation and local limit asymptotics for certain accelerated walks.

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• Statistical properties of Markov shifts: part II-LLT
• Statistical properties of Markov shifts (part I)

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