118 citations · 293 across the 11 of their papers we have counts for
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math.DS2013
Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove results about orbit closures and equidistribution for the SL(2,R) action on the moduli space of compact Riemann surfaces, which are analogous to the theory of unipotent fl…
math.DS2013★ 118 cited
Invariant and stationary measures for the SL(2,R) action on Moduli space
Alex Eskin, Maryam Mirzakhani
We prove some ergodic-theoretic rigidity properties of the action of SL(2,R) on moduli space. In particular, we show that any ergodic measure invariant under the action of the uppe…