Dimensional properties of the harmonic measure for a random walk on a hyperbolic group

Details Dimensional properties of the harmonic measure for a random walk on a hyperbolic group Dimensional properties of the harmonic measure for a random walk on a hyperbolic group

2004-11-15

arxiv.org/abs/math/0411332v1

Mathematics

Dynamical Systems

Scientific paper

This paper deals with random walks on isometry groups of Gromov hyperbolic spaces, and more precisely with the dimension of the harmonic measure $\nu$ associated with such a random walk. We first establish a link of the form $\dim \nu \leq h/l$ between the dimension of the harmonic measure, the asymptotic entropy $h$ of the random walk and its rate of escape $l$. Then we use this inequality to show that the dimension of this measure can be made arbitrarily small and deduce a result on the type of the harmonic measure.

Affiliated with

Also associated with

No associations

Rating

Dimensional properties of the harmonic measure for 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 Dimensional properties of the harmonic measure for 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 Dimensional properties of the harmonic measure for a random walk on a hyperbolic group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39714