报告人:Xia Chen
报告地点:数学与统计学院五楼报告厅(501)
报告时间:2010年07月02日(周五)下午 16:00-17:00
邀请人:
报告摘要:
The study of sample path intersections is partially motivated by the needs in mathematical physics. In this talk I will try to describe the large deviations for the self-intersection local times, mutual intersection local times, ranges and the intersection of ranges generated by random walks and Brownian motions. In particular, I will show that the critical dimension for such large deviations is 4.Some unsolved problems and conjectures will be given. Parts of the talk is based on some collaborative works with Richard Bass, Wenbo Li, Peter Morters and Jay Rosen.
主讲人简介:
Xia Chen,Department of Mathematics University of Tennessee.His field is probability,research interest includes: limit laws, large and moderate deviations, intersection local times, Brownian motions and random walks, Markov chains, small ball probabilities, probability in Banach spaces, and branching random walks.