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

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

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Bibliographic Details
Published in:Journal d'analyse mathématique (Jerusalem) 2022-12, Vol.148 (2), p.523-594
Main Author: Hafouta, Yeor
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Analysis
Dynamical Systems and Ergodic Theory
Functional Analysis
Mathematics
Mathematics and Statistics
Partial Differential Equations
Theorems
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Description
Summary:We prove a local central limit theorem for “nonconventional” sums generated by some classes of sufficiently fast mixing sequences.
ISSN:0021-7670
1565-8538
DOI:10.1007/s11854-022-0237-0