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Uniform large deviation for pinned hyperbolic Brownian motion
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Kanji Ichihara
Published/Copyright:
April 23, 2010
Abstract
We shall establish uniform large deviations for the pinned Brownian motions on a class of two dimensional hyperbolic Riemannian manifolds. It will be shown that the corresponding rate function is given via the infinitesimal generator of a new diffusion process obtained by a harmonic transform of the Brownian motion based on a ground state for the Laplacian.
Received: 2006-12-21
Revised: 2009-10-08
Published Online: 2010-04-23
Published in Print: 2011-July
© de Gruyter 2011
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Articles in the same Issue
- The sh-Lie algebra perturbation lemma
- Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains
- Geography of non-formal symplectic and contact manifolds
- Hp → Hp boundedness implies Hp → Lp boundedness
- Global regularity for the minimal surface equation in Minkowskian geometry
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