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Brownian bridge on hyperbolic spaces and on homogeneous trees

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Publication:1124997
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DOI10.1007/s004400050237zbMath0947.58032OpenAlexW2071909162MaRDI QIDQ1124997

Philippe Bougerol, Thierry Jeulin

Publication date: 23 October 2000

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050237

zbMATH Keywords

treeBrownian bridgehyperbolic spacesymmetric spaceexcursion


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)


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Concentration of the Brownian bridge on the hyperbolic plane, Random walk on a building of type \(\tilde A_r\) and Brownian motion of the Weyl chamber, Poisson kernel and Green function of the ball in real hyperbolic spaces, Random mappings of scaled graphs., The Heckman-Opdam Markov processes, Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks, The infinite Brownian loop on a symmetric space., The measurable Kesten theorem, Poisson kernels of half-spaces in real hyperbolic spaces, Scaling limits of tree-valued branching random walks, Return probabilities on nonunimodular transitive graphs



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