Shrinking rates of horizontal gaps for generic translation surfaces

Ergodicity, mixing, rates of mixing (37A25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35)

Cites Work

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Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
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Hausdorff dimension of sets of nonergodic measured foliations
Siegel measures
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Siegel-Veech transforms are in \(L^2\)
Equidistribution of saddle connections on translation surfaces
Effective counting on translation surfaces
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Systoles in translation surfaces
A Short Introduction to Translation Surfaces, Veech Surfaces, and Teichmüller Dynamics
On the Application of the Borel-Cantelli Lemma
A note on the Borel-Cantelli lemma
Slope gap distribution of saddle connections on the \(2n\)-gon
Counting pairs of saddle connections

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