arXiv Analytics

Sign in

arXiv:1909.13811 [math.GT]AbstractReferencesReviewsResources

Statistical hyperbolicity for harmonic measure

Vaibhav Gadre, Luke Jeffreys

Published 2019-09-30Version 1

We consider harmonic measures that arise from a finitely supported random walk on the mapping class group whose support generates a non-elementary subgroup. We prove that Teichm\"{u}ller space with the Teichm\"{u}ller metric is statistically hyperbolic for such a harmonic measure.

Categories: math.GT, math.DS
Subjects: 30F60, 32G15, 60G50
Related articles: Most relevant | Search more
arXiv:1212.1481 [math.GT] (Published 2012-12-06, updated 2014-10-20)
Word length statistics for Teichmüller geodesics and singularity of harmonic measure
arXiv:0801.1589 [math.GT] (Published 2008-01-10)
Reduction theory for mapping class groups and applications to moduli spaces
arXiv:math/0702034 [math.GT] (Published 2007-02-01)
Subgroups of the mapping class group from the geometrical viewpoint

Links

Toolbox