Ergodicity of the weil–Petersson geodesic flow

Keith H Burns*, Howard Masur, Amie Wilkinson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages157-174
Number of pages18
DOIs
StatePublished - Jan 1 2017

Publication series

NameLecture Notes in Mathematics
Volume2164
ISSN (Print)0075-8434

ASJC Scopus subject areas

  • Algebra and Number Theory

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  • Cite this

    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