Article ID Journal Published Year Pages File Type
1155568 Stochastic Processes and their Applications 2013 47 Pages PDF
Abstract

We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established by Funaki and Sasada (2010) [9], for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and derive linear stochastic partial differential equations in the limit. We show that their invariant measures are identical to the Gaussian measures which appear in the fluctuation limits in the static situations.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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