Function theory, Dynamics and Ergodic theory via Thurston theory
Complex Variables
2025-07-29 v1 General Topology
Geometric Topology
Abstract
In this paper, we discuss function theory on Teichm\"uller space through Thurston's theory, as well as the dynamics of subgroups of the mapping class group of a surface, with reference to Sullivan's theory on the ergodic actions of discrete subgroups of the isometry group of hyperbolic space at infinity.
Cite
@article{arxiv.2507.20912,
title = {Function theory, Dynamics and Ergodic theory via Thurston theory},
author = {Hideki Miyachi},
journal= {arXiv preprint arXiv:2507.20912},
year = {2025}
}
Comments
This is written as a chapter of a book