Classical and almost sure local limit theorems

DOI10.4064/dm873-10-2023arXiv2208.02700OpenAlexW4291308656MaRDI QIDQ6190569

Zbigniew S. Szewczak, Michel J. G. Weber

Publication date: 6 February 2024

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02700

zbMATH Keywords

local limit theorem almost sure limit theorems lattice distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Strong limit theorems (60F15) Metric theory of continued fractions (11K50) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

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Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness