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Boundary renormalisation of stochastic PDEs

Date: Tuesday, February 12, 2019 16:30 - 17:30
Speaker: Máté Gerencsér (IST Austria)
Location: Uni Wien HS 11, 2. OG, OMP 1
Series: Mathematics and CS Seminar
Host: M. Beiglböck, N. Berestycki, L. Erdös, J. Maas
Contact: Uni Wien

Abstract:

Interpreting the continuum parabolic Anderson model on a bounded domain, a naïve attempt leads to a solution theory in which all Robin (including homogeneous Dirichlet or Neumann) solutions coincide. The resolution of this is a boundary renormalisation, which we also discuss in the context of other singular equations such as the KPZ or stochastic quantisation equations. Joint work with Martin Hairer.

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