Ergodic theory of the space of measured laminations

Elon Lindenstrauss; Maryam Mirzakhani

doi:10.1093/imrn/rnm126

Ergodic theory of the space of measured laminations

Elon Lindenstrauss, Maryam Mirzakhani^*

^*Corresponding author for this work

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

21 Scopus citations

Abstract

We classify locally finite invariant measures and orbit closure for the action of the mapping class group on the space of measured laminations on a surface. This classification translates to a classification of measures and orbit closures on the space of quadratic differentials invariant under the horospheric foliation.

Original language	English
Article number	rnm126
Journal	International Mathematics Research Notices
Volume	2008
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnm126
State	Published - 2008
Externally published	Yes

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Ergodic theory of the space of measured laminations

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