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arxiv: 1502.01047 · v1 · pith:IWB4IOXHnew · submitted 2015-02-03 · 🧮 math.PR

Sharp estimates of Green function of hyperbolic Brownian Motion

classification 🧮 math.PR
keywords estimatesbrownianfunctiongreenhyperbolicmotionsharpbessel
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The main objective of the work is to provide sharp two-sided estimates of $\lambda$-Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtained by K. Bogus and J. Malecki [3], regarding precise estimates of the Bessel heat kernel of half-lines.

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