Word metric asymptotics for actions of hyperbolic groups on Gromov hyperbolic spaces
Advances in Homogeneous Dynamics May 11, 2015  May 15, 2015
Location: SLMath: Eisenbud Auditorium
hyperbolic metric space
hyperbolic group
geometric group theory
actions on trees
loxodromic element
Random walks
35Q60  PDEs in connection with optics and electromagnetic theory
35Q79  PDEs in connection with classical thermodynamics and heat transfer
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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.
Gekhtman Notes

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