Large Deviations for Brownian Intersection Measures

We consider p independent Brownian motions in ℝd. We assume that p ≥ 2 and p(d- 2) < d. Let ℓt denote the intersection measure of the p paths by time t, i.e., the random measure on ℝd that assigns to any measurable set A ⊂ ℝd the amount of intersection local time of the motions spent in A by tim...

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Bibliographic Details
Main Author: Mukherjee, Chiranjib
Other Authors: Universität Leipzig, Fakultät für Mathematik und Informatik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Leipzig 2011
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-74762
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-74762
http://www.qucosa.de/fileadmin/data/qucosa/documents/7476/thesis_final.pdf

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