Fluctuations in an evolutional model of two-dimensional Young diagrams

Tadahisa Funaki, Makiko Sasada, Martin Sauer and Bin Xie

Stochastic Processes and their Applications, 2013, vol. 123, issue 4, 1229-1275

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.

Keywords: Zero-range process; Exclusion process; Hydrodynamic limit; Fluctuation; Young diagram (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:123:y:2013:i:4:p:1229-1275

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DOI: 10.1016/j.spa.2012.12.005

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