Ergodicity of the weil–Petersson geodesic flow

Keith H Burns; Howard Masur; Amie Wilkinson

doi:10.1007/978-3-319-43059-1_4

Ergodicity of the weil–Petersson geodesic flow

Keith H Burns^*, Howard Masur, Amie Wilkinson

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We describe the proof that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic and in fact Bernoulli. Other chapters in this volume complement this summary by describing in depth the needed implementation of the Hopf argument and some of the pertinent aspects of moduli spaces of Riemann surfaces (and Teichmüller theory).

Original language	English (US)
Title of host publication	Lecture Notes in Mathematics
Publisher	Springer Verlag
Pages	157-174
Number of pages	18
DOIs	https://doi.org/10.1007/978-3-319-43059-1_4
State	Published - Jan 1 2017

Publication series

Name	Lecture Notes in Mathematics
Volume	2164
ISSN (Print)	0075-8434

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/978-3-319-43059-1_4

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Burns, K. H., Masur, H., & Wilkinson, A. (2017). Ergodicity of the weil–Petersson geodesic flow. In Lecture Notes in Mathematics (pp. 157-174). (Lecture Notes in Mathematics; Vol. 2164). Springer Verlag. https://doi.org/10.1007/978-3-319-43059-1_4

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