American Institute of Mathematics, San Jose, California
Joseph Maher, Yulan Qing, and Giulio Tiozzo
There is a well-developed theory of random walks on word hyperbolic groups, extending the original development of random walks on Lie groups and their discrete subgroups. Recently, there has been much work in geometric group theory studying larger classes of groups which need not be hyperbolic, but act on (non-proper) hyperbolic spaces. Examples include relatively hyperbolic groups, acylindrical groups, WPD groups and weakly hyperbolic groups.
The goal of this workshop is to bring together people with expertise in geometric group theory, ergodic theory, probability and related areas to develop the theory of random walks on groups of isometries of hyperbolic spaces and other metric spaces, addressing several open problems.
The main topics for the workshop are:
The workshop schedule.
A report on the workshop activities.
A list of open problems.