作者：MATHIEU, P
摘要：We prove L(p) majorations for the suprema of the intersection local time of two planar Brownian motions. We deduce a sufficient condition on the correlation of two Brownian motions for their i.l.t. to be continuous.
作者：COFFMAN, EG; POONEN, B; WINKLER, P
作者单位：Nokia Corporation; Nokia Bell Labs; AT&T
摘要：Let n random intervals I-1,...,I-n be chosen by selecting endpoints independently from the uniform distribution on [0,1]. A packing is a pairwise disjoint subset of the intervals; its wasted space is the Lebesgue measure of the points of [0,1] not covered by the packing. In any set of intervals the packing with least wasted space is computationally easy to find; but its expected wasted space in the random case is not obvious. We show that with high probability for large n, this ''best'' packin...
