Self-Intersections of Random Fields
Rosen, Jay
Ann. Probab., Tome 12 (1984) no. 4, p. 108-119 / Harvested from Project Euclid
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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.
Publié le : 1984-02-14
Classification:  Local time,  intersections of random fields,  Hausdorff dimension,  60G60,  60G17 
@article{1176993376,
     author = {Rosen, Jay},
     title = {Self-Intersections of Random Fields},
     journal = {Ann. Probab.},
     volume = {12},
     number = {4},
     year = {1984},
     pages = { 108-119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993376}
}

Rosen, Jay. Self-Intersections of Random Fields. Ann. Probab., Tome 12 (1984) no. 4, pp.  108-119. http://gdmltest.u-ga.fr/item/1176993376/