Cusp excursions of random geodesics in Weil-Petersson type metrics

Autor:	Gadre, Vaibhav, Matheus, Carlos
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems 37D40 32G15 53D25 37A25 37D50
Druh dokumentu:	Working Paper
Popis:	We analyse cusp excursions of random geodesics for Weil--Petersson type incomplete metrics on orientable surfaces of finite type: in particular, we give bounds for maximal excursions. We also give similar bounds for cusp excursions of random Weil--Petersson geodesics on non-exceptional moduli spaces of Riemann surfaces conditional on the assumption that the Weil--Petersson flow is polynomially mixing. Moreover, we explain how our methods can be adapted to understand almost greasing collisions of typical trajectories in certain slowly mixing billiards. Comment: 19 pages, no figures, version accepted to J. Diff. Geo
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.06355 Zobrazit plný text záznamu View this record from Arxiv