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SUMMARY:Intermittency properties in a hyperbolic Anderson model - Dalang\,
  R (EPFL)
DTSTART:20100203T113000Z
DTEND:20100203T123000Z
UID:TALK23093@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the asymptotics of the even moments of solutions to a
  stochastic wave equation in spatial dimension $3$ with linear multiplicat
 ive noise.  Our main theorem states that these moments grow more quickly t
 han one might expect.  This phenomenon is well-known for parabolic stochas
 tic partial differential equations\, under the name of intermittency.  Our
  results seem to be the first example of this phenomenon for hyperbolic eq
 uations. For comparison\, we also derive bounds on moments of the solution
  to the stochastic heat equation with linear multiplicative noise. This is
  joint work with Carl Mueller. It makes strong use of a Feynman-Kac type f
 ormula for moments of this stochastic wave equation developped in joint wo
 rk with Carl Mueller and Roger Tribe.
LOCATION:Seminar Room 1\, Newton Institute
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