Limiting behaviors of the Brownian motions on hyperbolic spaces

H. Matsumoto. "Limiting behaviors of the Brownian motions on hyperbolic spaces." Colloquium Mathematicae 119.2 (2010): 193-215. <http://eudml.org/doc/283455>.

@article{H2010,
abstract = {Using explicit representations of the Brownian motions on hyperbolic spaces, we show that their almost sure convergence and the central limit theorems for the radial components as time tends to infinity can be easily obtained. We also give a straightforward strategy to obtain explicit expressions for the limit distributions or Poisson kernels.},
author = {H. Matsumoto},
journal = {Colloquium Mathematicae},
keywords = {Brownian motion; hyperbolic space; Laplace-Beltrami operator; geometric Brownian motion},
language = {eng},
number = {2},
pages = {193-215},
title = {Limiting behaviors of the Brownian motions on hyperbolic spaces},
url = {http://eudml.org/doc/283455},
volume = {119},
year = {2010},
}

TY - JOUR
AU - H. Matsumoto
TI - Limiting behaviors of the Brownian motions on hyperbolic spaces
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 193
EP - 215
AB - Using explicit representations of the Brownian motions on hyperbolic spaces, we show that their almost sure convergence and the central limit theorems for the radial components as time tends to infinity can be easily obtained. We also give a straightforward strategy to obtain explicit expressions for the limit distributions or Poisson kernels.
LA - eng
KW - Brownian motion; hyperbolic space; Laplace-Beltrami operator; geometric Brownian motion
UR - http://eudml.org/doc/283455
ER -