Mathematics – Metric Geometry
Scientific paper
2009-05-26
Mathematics
Metric Geometry
12 pages
Scientific paper
We consider random walks with finite support on non-elementary Gromov hyperbolic groups. For a given harmonic function on such a group, we prove that asymptotic properties of non-tangential boundedness and non-tangential convergence are almost everywhere equivalent. The proof is inspired from works of F. Mouton in the cases of Riemannian manifolds of pinched negative curvature and infinite trees. It involves geometric and probabilitistic methods.
No associations
LandOfFree
Boundary behaviour of harmonic functions on hyperbolic groups 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 Boundary behaviour of harmonic functions on hyperbolic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary behaviour of harmonic functions on hyperbolic groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-646542