Ergodic theory of the space of measured laminations

Elon Lindenstrauss, Maryam Mirzakhani*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 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 languageAmerican English
Article numberrnm126
JournalInternational Mathematics Research Notices
Volume2008
Issue number1
DOIs
StatePublished - 2008
Externally publishedYes

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