MULTIPLE POINTS OF THE BROWNIAN SHEET IN CRITICAL DIMENSIONS
成果类型：
Article
署名作者：
Dalang, Robert C.; Mueller, Carl
署名单位：
Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; University of Rochester
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/14-AOP912
发表日期：
2015
页码：
1577-1593
关键词：
摘要：
It is well known that an N-parameter d-dimensional Brownian sheet has no k-multiple points when (k - 1)d > 2kN, and does have such points when (k - 1)d < 2kN. We complete the study of the existence of k-multiple points by showing that in the critical cases where (k - 1)d = 2kN, there are a.s. no k-multiple points.