On Limit Theorems for U-Statistics Indexed by Random Walks
Prof. Brice FrankeUniversite de Bretagne Occidentale(Brest), France 上午 10:00–12:00 鴻經館 107 室摘要:
In this talk I want to present some recent results on random walks in random scenery which are observed through some U-statistics. The limit law is a Levy-sheet in the case when the random walk is transient. When the random walk is recurrent, the limit law is obtained through stochastic integration of the local time process with respect to the Levy-sheet. This is a joint work with M. Wendler and F. Pene.