Dynamics on Markov surfaces: classification of stationary measures

Fuente: arXiv
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Autori principali: Cantat, Serge, Dupont, Christophe, Martin-Baillon, Florestan
Natura: Preprint
Pubblicazione: 2024
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author Cantat, Serge
Dupont, Christophe
Martin-Baillon, Florestan
author_facet Cantat, Serge
Dupont, Christophe
Martin-Baillon, Florestan
contents Consider the four punctured sphere ${\mathbb{S}}_4^2$. Each choice of four traces, one for each puncture, determines a relative character variety for the representations of the fundamental group of ${\mathbb{S}}_4^2$ in ${\sf{SL}}_2(\mathbb{C})$. We classify the stationary probability measures for the action of the mapping class group ${\sf{Mod}}({\mathbb{S}}_4^2)$ on these character varieties.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01721
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamics on Markov surfaces: classification of stationary measures
Cantat, Serge
Dupont, Christophe
Martin-Baillon, Florestan
Dynamical Systems
Consider the four punctured sphere ${\mathbb{S}}_4^2$. Each choice of four traces, one for each puncture, determines a relative character variety for the representations of the fundamental group of ${\mathbb{S}}_4^2$ in ${\sf{SL}}_2(\mathbb{C})$. We classify the stationary probability measures for the action of the mapping class group ${\sf{Mod}}({\mathbb{S}}_4^2)$ on these character varieties.
title Dynamics on Markov surfaces: classification of stationary measures
topic Dynamical Systems
url https://arxiv.org/abs/2404.01721