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arXiv · 2507.20912

Function theory, Dynamics and Ergodic theory via Thurston theory

Hideki Miyachi
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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.

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Hideki Miyachi. 2025-07-28. Function theory, Dynamics and Ergodic theory via Thurston theory. https://arxiv.org/abs/2507.20912

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