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