Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155568 | Stochastic Processes and their Applications | 2013 | 47 Pages |
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)
Authors
Tadahisa Funaki, Makiko Sasada, Martin Sauer, Bin Xie,