Statistical hyperbolicity for harmonic measure

Azemar, A., Gadre, V. and Jeffreys, L. (2020) Statistical hyperbolicity for harmonic measure. International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa277) (Early Online Publication)

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Abstract

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 Teichmuller space with the Teichmuller metric is statistically hyperbolic for such a harmonic measure.

Item Type:Articles
Status:Early Online Publication
Refereed:Yes
Glasgow Author(s) Enlighten ID:Azemar, Mr Aitor and Gadre, Dr Vaibhav and Jeffreys, Mr Luke
Authors: Azemar, A., Gadre, V., and Jeffreys, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Mathematics Research Notices
Publisher:Oxford University Press
ISSN:1073-7928
ISSN (Online):1687-0247
Published Online:19 December 2020
Copyright Holders:Copyright © The Author(s) 2018
First Published:First published in International Mathematics Research Notices 2020
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
172865EPSRC DTP 16/17 and 17/18Tania GalabovaEngineering and Physical Sciences Research Council (EPSRC)EP/N509668/1Research and Innovation Services