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Sharp estimates of Green function of hyperbolic Brownian Motion

Probability 2015-02-05 v1

Abstract

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

Keywords

Cite

@article{arxiv.1502.01047,
  title  = {Sharp estimates of Green function of hyperbolic Brownian Motion},
  author = {Kamil Bogus and Tomasz Byczkowski and Jacek Malecki},
  journal= {arXiv preprint arXiv:1502.01047},
  year   = {2015}
}

Comments

13 pages

R2 v1 2026-06-22T08:21:18.116Z