4464 articles – 13151 references  [version française]
HAL: hal-00011245, version 1

Detailed view  Export this paper
Probability Theory and Related Fields 126, n°4 (2003) 497-527
Large deviations for Brownian motion in a random scenery
A. Asselah 1, F. Castell 1
(2002)

We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded variables, independent of the Brownian motion. This model is a time-continuous version of Kesten and Spitzer's random walk in random scenery. We prove large deviations principles in ``quenched'' and ``annealed'' settings.
1:  Laboratoire d'Analyse, Topologie, Probabilités (LATP)
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
Mathematics/Probability
Fulltext link: 
http://fr.arXiv.org/abs/math.PR/0209160