Full realization of ergodic IRS entropy in SL2(Z) and free groups
Dynamical Systems
2023-06-01 v2 Group Theory
Probability
Abstract
We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n>2, where only the trivial entropy values can be realized by ergodic IRSs.
Cite
@article{arxiv.2106.10172,
title = {Full realization of ergodic IRS entropy in SL2(Z) and free groups},
author = {Liran Ron-George and Ariel Yadin},
journal= {arXiv preprint arXiv:2106.10172},
year = {2023}
}