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SUMMARY:Polarity of points for systems of linear spde's in critical dimens
 ions 
DTSTART:20150618T141500
DTEND:20150618T151500
DTSTAMP:20260928T171424Z
UID:c1fa7b33848b80a4632ec99e951b90f7d26c653b574f9e842030ab9c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Robert Dalang\nWe are interested in systems of d linear stocha
 stic partial differential equations in spatial dimension k >= 1. The d-dim
 ensional driving noise is space-time white noise when k=1\, and is white i
 n time  with a spatially homogeneous covariance defined as a Riesz kernel
  when k >= 1. In non-critical dimensions\, the issue of polarity of points
  for the random field solution to these systems is well-understood. In thi
 s joint work with C. Mueller and Y. Xiao\, we extend to a wide class of an
 isotropic Gaussian random fields an argument developed by Talagrand (1998)
  for fractional Brownian motion. This allows us to establish polarity of p
 oints in critical dimensions for many systems of linear spde's\, such as s
 ystems of stochastic heat and wave equations in spatial dimensions k >=  
 1.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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