Limiting behaviors of the Brownian motions on hyperbolic spaces

Details Limiting behaviors of the Brownian motions on hyperbolic spaces Limiting behaviors of the Brownian motions on hyperbolic spaces

2009-01-26

arxiv.org/abs/0901.4028v2

Mathematics

Probability

22 pages

Scientific paper

Using the explicit representations of the Brownian motions on the hyperbolic
spaces, we show that their almost sure convergence and the central limit
theorems for the radial components as time tends to infinity are easily
obtained. We also give a straightforward strategy to obtain the explicit
expressions for the limit distributions or the Poisson kernels.

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