The ratio set of the harmonic measure of a random walk on a hyperbolic group

Details The ratio set of the harmonic measure of a random walk on a hyperbolic group The ratio set of the harmonic measure of a random walk on a hyperbolic group

2006-02-19

arxiv.org/abs/math/0602409v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

We consider the harmonic measure on the Gromov boundary of a nonamenable hyperbolic group defined by a finite range random walk on the group, and study the corresponding orbit equivalence relation on the boundary. It is known to be always amenable and of type III. We determine its ratio set by showing that it is generated by certain values of the Martin kernel. In particular, we show that the equivalence relation is never of type III_0.

Affiliated with

Also associated with

No associations

Rating

The ratio set of the harmonic measure of a random walk on a hyperbolic group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The ratio set of the harmonic measure of a random walk on a hyperbolic group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ratio set of the harmonic measure of a random walk on a hyperbolic group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141593