Statistical hyperbolicity for harmonic measure

Azemar, A., Gadre, V. and Jeffreys, L. (2022) Statistical hyperbolicity for harmonic measure. International Mathematics Research Notices, 2022(8), pp. 6289-6309. (doi: 10.1093/imrn/rnaa277)

[img] Text
204130.pdf - Published Version
Available under License Creative Commons Attribution.

316kB

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:Published
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 © 2020 The Authors
First Published:First published in International Mathematics Research Notices 2022(8): 6289-6309
Publisher Policy:Reproduced under a Creative Commons License
Related URLs:

University Staff: Request a correction | Enlighten Editors: Update this record

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