Teichmüller dynamics and unique ergodicity via currents and Hodge theory-Reference-Cited by-同舟云学术

Teichmüller dynamics and unique ergodicity via currents and Hodge theory

Published:2019-12-08 Issue:768 Volume:2020 Page:39-54
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

McMullen Curtis T.¹

Affiliation:

1. Mathematics Department , Harvard University , Cambridge , MA 02138-2901 , USA

Abstract

Abstract We present a cohomological proof that recurrence of suitable Teichmüller geodesics implies unique ergodicity of their terminal foliations. This approach also yields concrete estimates for periodic foliations and new results for polygonal billiards.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2019-0037/pdf

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