%0 Journal Article %T Penalizations of Walsh Brownian motion %A Joseph Najnudel %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0610564v1