Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow

By Artur Avila, S. Gouëzel. 2010

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We consider the SL(2;R) action on moduli spaces of quadratic dierentials. If is an SL(2;R)-invariant probability measure, crucial information about the associated representation on L 2 ( ) (and, in particular, ne asymptotics for decay of correlations of the diagonal action, the Te

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

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