Scaling limit for two-dimensional trap models


天數 440


2017-02-16 (星期四) 10:00 - 11:00


The two-dimensional parabolic Anderson model is the statistical mechanics model with Hamiltonian described by the two-dimensional random walk in random scenery on lattice. The particles gain energy whenever they visit the potential sites. The analogous continuum model, namely, the model with noise formally defined on $R^2$, is not well-defined. Instead, we consider that the particles only gain energy at their first visit. In the continuum and weak disorder regime, the partition function of our model as a random variable converges weakly to a Wiener Chaos expansion. This may solve the two-dimensional continuum parabolic Anderson equation.


14:30 - 15:00


夏俊雄 Volker Elling (中央研究院數學所)