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Article Dans Une Revue Geometric And Functional Analysis Année : 2019

Geodesics Currents and Counting Problems

Résumé

For every positive, continuous and homogeneous function $f$ on the space of currents on a closed surface $\Sigma$, and for every filling current $\alpha$, we compute as $L \to \infty$, the number of mapping classes $\phi$ so that $f(\phi(\alpha))\leq L$. As an application, we prove a lattice counting theorem for Teichm\"uller space equipped with the Thurston metric.

Dates et versions

hal-01609366 , version 1 (03-10-2017)

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Citer

Kasra Rafi, Juan Souto. Geodesics Currents and Counting Problems. Geometric And Functional Analysis, 2019, 29 (3), pp.871-889. ⟨10.1007/s00039-019-00502-7⟩. ⟨hal-01609366⟩
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