機率研討會
主講者: Mr. Li-Cheng Tsai (Stanford University)
講題: Weakly Asymmetric Non-Simple Exclusion Process and the Kardar-Parisi-Zhang Equation
時間: 2014-09-15 (Mon.)  14:10 -
地點: 數學所 617 研討室 (台大院區)
Abstract: It is conjectured that under weak asymmetry, one-dimensional exclusion processes universally converge to the Kardar-Parisi-Zhang (KPZ) equation. Based on Gaertner's discrete Cole-Hopf transformation, Bertini and Giacomin (1997) prove this convergence for the special case of simple (nearest-neighbor) exclusion. In this work we extend the discrete Cole-Hopf transformation, and eliminate the main nonlinearity using a gradient-type condition. We thus obtain the universal convergence to the KPZ equation of a class of non-simple exclusion processes with a hopping range of at most 3. This is joint work with Amir Dembo.
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