Statistical Hyperbolicity for Harmonic Measure

Aitor Azemar, Vaibhav Gadre*, Luke Jeffreys

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review


We consider harmonic measures that arise from random walks on the mapping class group determined by probability distributions that have finite first moments with respect to the Teichmüller metric and whose supports generate nonelementary subgroups. We prove that Teichmüller space with the Teichmüller metric is statistically hyperbolic for such a harmonic measure.
Original languageEnglish
Pages (from-to)6289–6309
JournalInternational Mathematics Research Notices
Issue number8
Early online date19 Dec 2020
Publication statusPublished - Apr 2022

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