 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Professor Dr. Nils Berglund
Université d'Orléans
spricht am
Dienstag, 10. Mai 2016
um
17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We consider an Allen-Cahn SPDE on the d-dimensional torus, for d=1 or 2, driven by weak space-time white noise, and with periodic or Neumann boundary conditions. In the absence of noise, the equation admits two stable stationary solutions. Weak noise induces rare transitions between these two states. We provide sharp asymptotics for the mean transition time, going beyond large-deviation (Arrhenius) estimates. In the case d=1, which is joint work with Barbara Gentz (Bielefeld), the mean transition time is known for all finite domain sizes. It contains a prefactor expressible in terms of ratios of spectral determinants. In the case d=2, the SPDE is only well-defined after a suitable renormalization is carried out. I will report joint work with Hendrik Weber (Warwick) and Giacomo Di Gesù (CERMICS, Paris), yielding an expression for the prefactor when the domain is sufficiently small. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Lisa Beck |