Multiple Points Of The Brownian Sheet In Critical Dimensions

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.


Published in:
Annals Of Probability, 43, 4, 1577-1593
Year:
2015
Publisher:
Cleveland, Inst Mathematical Statistics
ISSN:
0091-1798
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-12-03


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