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Word metric asymptotics for actions of hyperbolic groups on Gromov hyperbolic spaces

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 14, 2015 (02:30 PM PDT - 02:55 PM PDT)
Speaker(s): Ilya Gekhtman (Rheinische Friedrich-Wilhelms-Universität Bonn)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • hyperbolic metric space

  • hyperbolic group

  • geometric group theory

  • actions on trees

  • loxodromic element

  • Random walks

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14248
Abstract

I will discuss work in progress with Sam Taylor and Giulio Tiozzo in which we study some asymptotics with respect to the word metric for actions of hyperbolic groups on Gromov hyperbolic spaces. For example for a large class of such actions we prove that the proportion of elements in a Cayley ball of radius R which do not act loxodromically decays to zero. 

 
Supplements
23539?type=thumb Gekhtman Notes 180 KB application/pdf Download
Video/Audio Files

14248

H.264 Video 14248.mp4 145 MB video/mp4 rtsp://videos.msri.org/14248/14248.mp4 Download
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