196 citations · 655 across the 31 of their papers we have counts for
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Counting generalized Jenkins-Strebel differentials
Jayadev S. Athreya, Alex Eskin, Anton Zorich
We study the combinatorial geometry of "lattice" Jenkins--Strebel differentials with simple zeroes and simple poles on and of the corresponding counting functions.…
Right-angled billiards and volumes of moduli spaces of quadratic differentials on
Jayadev S. Athreya, Alex Eskin, Anton Zorich
We use the relation between the volumes of the strata of meromorphic quadratic differentials with at most simple poles on the Riemann sphere and counting functions of the number of…
A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves
Alex Eskin, Carlos Matheus
In this note we show that the results of H. Furstenberg on the Poisson boundary of lattices of semisimple Lie groups allow to deduce simplicity properties of the Lyapunov spectrum…
Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle
Artur Avila, Alex Eskin, Martin Moeller
Suppose N is an affine SL(2,R)-invariant submanfold of the moduli space of pairs (M,w) where M is a curve, and w is a holomorphic 1-form on M. We show that the Forni bundle of N (i…
Counting closed geodesics in strata
Alex Eskin, Maryam Mirzakhani, Kasra Rafi
We compute the asymptotic growth rate of the number N(C, R) of closed geodesics of length less than R in a connected component C of a stratum of quadratic differentials. We prove t…