Sharp estimates of Green function of hyperbolic Brownian Motion

2015/02/03 by Kamil Bogus, Bogus, Kamil, Tomasz Byczkowski +3
Mathematics · #60J60 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60J60

paper · pdf · doi:10.48550/arxiv.1502.01047

13 pages

arxiv created 2015/02/03 · arxiv updated 2015/02/05

Abstract

The main objective of the work is to provide sharp two-sided estimates of λ-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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