Abstract
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.
Details
Title
Multiple Points Of The Brownian Sheet In Critical Dimensions
Author(s)
Dalang, Robert C. ; Mueller, Carl
Published in
Annals Of Probability
Pagination
17
Volume
43
Issue
4
Pages
1577-1593
Date
2015
Publisher
Cleveland, Inst Mathematical Statistics
ISSN
0091-1798
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
PROB
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > PROB - Chair of Probability
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2015-09-28