Geodesic
Limiting behaviors of the Brownian motions on hyperbolic spaces
H. Matsumoto 1
1 Graduate School of Information Science Nagoya University Chikusa-ku, Nagoya 464-8601, Japan and Department of Mathematical Sciences Faculty of Science Yamagata University 1-4-12 Kojirakawa-machi Yamagata 990-8560, Japan
Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 193-215 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm119-2-3
Keywords: using explicit representations brownian motions hyperbolic spaces their almost sure convergence central limit theorems radial components time tends infinity easily obtained straightforward strategy obtain explicit expressions limit distributions poisson kernels

H. Matsumoto  1

1 Graduate School of Information Science Nagoya University Chikusa-ku, Nagoya 464-8601, Japan and Department of Mathematical Sciences Faculty of Science Yamagata University 1-4-12 Kojirakawa-machi Yamagata 990-8560, Japan 
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H. Matsumoto. Limiting behaviors of the Brownian motions
 on hyperbolic spaces. Colloquium Mathematicum, Tome 119 (2010) no. 2, pp. 193-215. doi: 10.4064/cm119-2-3

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