The weil-petersson geodesic fiow is ergodic

K. Burns; H. Masur; A. Wilkinson

doi:10.4007/annals.2012.175.2.8

The weil-petersson geodesic fiow is ergodic

K. Burns^*, H. Masur, A. Wilkinson

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (and in fact Bernoulli) and has finite, positive metric entropy.

Original language	English (US)
Pages (from-to)	835-908
Number of pages	74
Journal	Annals of Mathematics
Volume	175
Issue number	2
DOIs	https://doi.org/10.4007/annals.2012.175.2.8
State	Published - Mar 2012

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2012.175.2.8

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title = "The weil-petersson geodesic fiow is ergodic",

abstract = "We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (and in fact Bernoulli) and has finite, positive metric entropy.",

author = "K. Burns and H. Masur and A. Wilkinson",

year = "2012",

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doi = "10.4007/annals.2012.175.2.8",

language = "English (US)",

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AU - Burns, K.

AU - Masur, H.

AU - Wilkinson, A.

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SN - 0003-486X

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The weil-petersson geodesic fiow is ergodic

Abstract

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