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


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
Issue number1
StatePublished - 2008
Externally publishedYes


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