Speaker : Professor Bin Xie (Shinshu University)
Title : Non-equilibrium fluctuations for an evolutional model of 2-D Young diagrams
Time : 2011-03-07 (Mon) 15:00 - 16:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: The dynamics of two-dimensional Young diagrams is recently constructed and the corresponding hydrodynamic limit for it is investigated by T. Funaki and M. Sasada, see “Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams. Comm. Math. Phys., 299 (2010), 335--363”. In this talk, based on their study, we will mainly consider the fluctuations problem for the dynamics of 2-D Young diagrams determined by the restricted uniform statistics. We show that the fluctuation limit of it converges to a linear stochastic heat equation driven by a Gaussian space-time white noise. To show it, we first transform the dynamics into the asymptotic simple exclusion process and then by using the Hopf-Cole transformation, we study the corresponding fluctuation problem. This is a joint work with T. Funaki and M. Sasada.