FLUCTUATIONS OF THE WIENER SAUSAGE FOR SURFACES

• 成果类型: Article
• 署名作者: CHAVEL, I; FELDMAN, E; ROSEN, J
• 署名单位: City University of New York (CUNY) System; City University of New York (CUNY) System; College of Staten Island (CUNY)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176990537
• 发表日期: 1991
• 页码: 83-141
• 关键词: complete riemannian manifold; planar brownian-motion; heat kernel; intersections; operator

摘要

We define a renormalized intersection local time to describe the amount of self-intersection of the Brownian motion on a two-dimensional Riemannian manifold M. The second order asymptotics of the area of the Wiener sausage of radius epsilon on M are described in terms of the renormalized intersection local time.