Continuity of asymptotic entropy on free solvable groups

Fuente: arXiv
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Autor principal: Silva, Eduardo
Formato: Preprint
Publicado: 2026
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author Silva, Eduardo
author_facet Silva, Eduardo
contents We prove the continuity of asymptotic entropy, as a function of the step distribution, among non-degenerate probability measures with finite Shannon entropy on the free solvable group $S_{d,m}$ of rank $d\ge 3$ and derived length $m\ge 2$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14599
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Continuity of asymptotic entropy on free solvable groups
Silva, Eduardo
Group Theory
Dynamical Systems
Probability
We prove the continuity of asymptotic entropy, as a function of the step distribution, among non-degenerate probability measures with finite Shannon entropy on the free solvable group $S_{d,m}$ of rank $d\ge 3$ and derived length $m\ge 2$.
title Continuity of asymptotic entropy on free solvable groups
topic Group Theory
Dynamical Systems
Probability
url https://arxiv.org/abs/2603.14599