Poisson kernels of half-spaces in real hyperbolic spaces

DOI10.4171/RMI/487zbMath1161.60024arXivmath/0503372MaRDI QIDQ997809

Tomasz Byczkowski, Piotr Graczyk, Andrzej Stós

Publication date: 7 August 2007

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503372

zbMATH Keywords

Brownian motionhyperbolic spacesPoisson kernel

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (11)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ Poisson kernel and Green function of the ball in real hyperbolic spaces ⋮ Hyperbolic Green function estimates ⋮ Generalized axially symmetric potentials with distributional boundary values ⋮ Moments and tails of hitting times of Bessel processes and convolutions of elementary mixtures of exponential distributions ⋮ Hitting times of Bessel processes ⋮ On potential theory of hyperbolic Brownian motion with drift ⋮ Hyperbolic harmonic functions and hyperbolic Brownian motion ⋮ Special function representations of the Poisson kernel on hyperbolic spaces ⋮ The probability distributions of the first hitting times of Bessel processes ⋮ Sharp estimates of transition probability density for Bessel process in half-line

Cites Work

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• Sur certaines fonctionnelles exponentielles du mouvement brownien réel
• On some exponential functionals of Brownian motion
• From Brownian Motion to Schrödinger’s Equation
• Hitting distributions of geometric Brownian motion
• Stable laws arising from hitting distributions of processes on homogeneous trees and the hyperbolic half-plane.

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