Penalizations of Walsh Brownian motion
Probability
2009-12-24 v1
Abstract
In this paper, we construct a family of probability measures, by penalizations of a Walsh Brownian motion with a weight dependent on its value and its local time at a time t. We prove that this family converges to a probability measure as t tends to infinity, and we study the behaviour of this limit measure.
Cite
@article{arxiv.math/0610564,
title = {Penalizations of Walsh Brownian motion},
author = {Joseph Najnudel},
journal= {arXiv preprint arXiv:math/0610564},
year = {2009}
}