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SUMMARY:Random measures on the Brownian path with prescribed expectation -
  Abel Farkas (Rényi Institute\, Budapest)
DTSTART:20200428T130000Z
DTEND:20200428T140000Z
UID:TALK139456@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Let B denote the range of the Brownian motion in R^d. For a de
 terministic Borel measure nu we wish to find a random measure mu such that
  the support of mu is contained in B and the expectation of mu is nu. We d
 iscuss when exactly can there be such a random measure and construct in th
 ose cases. We establish a formula for the expectation of the double integr
 al with respect to mu\, which is a strong tool for the geometric measure t
 heory of the Brownian path. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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