Self-Intersections of Random Fields
Open Access
- 1 February 1984
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 12 (1) , 108-119
- https://doi.org/10.1214/aop/1176993376
Abstract
We show how to use local times to analyze the self-intersections of random fields. In particular, we compute the Hausdorff dimension of $r$-multiple times for Brownian motion in the plane, Brownian sheets and Levy's multiparameter Brownian motion.Keywords
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