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Geometric aspects of random walks on groups
by
Christophe Pittet
University of Aix-Marseille 1
On a Cayley graph, the probability for a random walk to come back to its starting point after a long time gives rise to a quasi-isometric invariant of the Cayley graph. This invariant is related to the growth of balls and to the shape of Folner sets.
In the educational talk we will describe the situation for Lie groups and their lattices. In the research talk we will focus on some finitely generated solvable groups.
Date received: January 5, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cami-12.