Penalizations of the Brownian motion by a functional of its local times

Details Penalizations of the Brownian motion by a functional of its local times Penalizations of the Brownian motion by a functional of its local times

2007-01-18

arxiv.org/abs/math/0701526v1

Stochastic Process. Appl., Volume 118 (8), 2008

Mathematics

Probability

Scientific paper

In this article, we study the family of probability measures (indexed by a positive real number t), obtained by penalization of the Brownian motion by a given functional of its local times at time t. We prove that this family tends to a limit measure when t goes to infinity if the functional satisfies some conditions of domination, and we check these conditions in several particular cases.

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