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CATEGORIES:Probability
SUMMARY:Random measures on the Brownian path with prescrib
 ed expectation - Abel Farkas (Rényi Institute\, Bu
 dapest)
DTSTART;TZID=Europe/London:20200428T140000
DTEND;TZID=Europe/London:20200428T150000
UID:TALK139456AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139456
DESCRIPTION:Let B denote the range of the Brownian motion in R
 ^d. For a deterministic Borel measure nu we wish t
 o find a random measure mu such that the support o
 f mu is contained in B and the expectation of mu i
 s nu. We discuss when exactly can there be such a 
 random measure and construct in those cases. We es
 tablish a formula for the expectation of the doubl
 e integral with respect to mu\, which is a strong 
 tool for the geometric measure theory of the Brown
 ian path. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
 B
CONTACT:Perla Sousi
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