A law of iterated logarithm on lamplighter diagonal products

Gideon Amir; Guy Blachar

doi:10.4171/GGD/830

A law of iterated logarithm on lamplighter diagonal products

Gideon Amir, Guy Blachar

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a law of iterated logarithm for random walks on a family of diagonal products constructed by Brieussel and Zheng (2021). This provides a wide variety of new examples of law of iterated logarithm behaviors for random walks on groups. In particular, it follows that for any 1/2 ≤ β ≤ 1 there is a group G and random walk W_n on G with (Equation presented) such that (Equation presented) and (Equation presented).

Original language	English
Pages (from-to)	1041-1080
Number of pages	40
Journal	Groups, Geometry, and Dynamics
Volume	19
Issue number	3
DOIs	https://doi.org/10.4171/GGD/830
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2024 European Mathematical Society.

Keywords

diagonal products
excursions
law of iterated logarithm
random walks on groups

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10.4171/GGD/830

Cite this

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A law of iterated logarithm on lamplighter diagonal products

Abstract

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Keywords

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