# Ergodic Theory of the Space of Measured Laminations

@article{Lindenstrauss2010ErgodicTO, title={Ergodic Theory of the Space of Measured Laminations}, author={Elon Lindenstrauss and Maryam Mirzakhani}, journal={International Mathematics Research Notices}, year={2010}, volume={2008} }

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.

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