Stable semigroups on homogeneous trees and hyperbolic spaces

Details Stable semigroups on homogeneous trees and hyperbolic spaces Stable semigroups on homogeneous trees and hyperbolic spaces

2006-06-08

arxiv.org/abs/math/0606185v1

Mathematics

Probability

Scientific paper

We prove the kernel estimates related to subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time estimates for (large) balls. We use an abstract setting of metric measure spaces. This enables us to give these results for trees end hyperbolic spaces as well. Finally, we show some estimates for the Poisson kernel of a ball.

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