A local limit theorem for number of multiple recurrences generated by some mixing processes with applications to Young towers

2020/03/19 by Yeor Hafouta, Hafouta, Yeor
Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2003.08528

openalex publication_date 2020/03/19 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We prove a local central limit theorem for "nonconventional" sums generated by some classes of sufficiently fast mixing sequences.

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