Intersection exponents for planar Brownian motion

• 成果类型: Article
• 署名作者: Lawler, GF; Werner, W
• 署名单位: Duke University; Universite Paris Saclay
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1022874810
• 发表日期: 1999
• 页码: 1601-1642
• 关键词: nonintersection exponents; conformal-invariance; avoiding walks; disconnection; paths

摘要

We derive properties concerning all intersection exponents for planar Brownian motion and we define generalized exponents that, loosely speaking, correspond to noninteger numbers of Brownian paths. Some of these properties lead to general conjectures concerning the exact value of these exponents.