Dalang, Robert C.Mueller, Carl2015-09-282015-09-282015-09-28201510.1214/14-Aop912https://infoscience.epfl.ch/handle/20.500.14299/119010WOS:000356560100001It 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.Brownian sheetmultiple pointsGirsanov's theoremtext::journal::journal article::research article