On the spectrum of asymptotic entropies of random walks

Given a random walk on a free group, we study the random walks it induces on the group’s quotients. We show that the spectrum of asymptotic entropies of the induced random walks has no isolated points, except perhaps its maximum.

Saved in:
Bibliographic Details
Published in:Groups, geometry and dynamics geometry and dynamics, 2024-05
Main Authors: Tamuz, Omer, Zheng, Tianyi
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Given a random walk on a free group, we study the random walks it induces on the group’s quotients. We show that the spectrum of asymptotic entropies of the induced random walks has no isolated points, except perhaps its maximum.
ISSN:1661-7207
1661-7215
DOI:10.4171/ggd/798