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NCTS Seminar on PDE and Analysis
14:20 - 15:30, May 4, 2017 (Thursday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Scaling Limit for Two-dimensional Trap Models
Chien-Hao Huang (National Taiwan University)


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 R2 , 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.


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