Effective convergence of ergodic averages and cusp excursions of geodesics on moduli spaces

Apparaît dans la collection : Summer School 2018 - Teichmüller dynamics, mapping class groups and applications.

Effective convergence of ergodic averages and cusp excursions of geodesics on moduli spaces We survey some applications of effective convergence of ergodic averages to the analysis of cusp ex-cursions of typical geodesics on moduli spaces. This will cover Teichmuller geodesics, Weil-Petersson geodesics and geodesics typical for harmonic measures arising from random walks on mapping class groups.