Fluctuations in an evolutional model of two-dimensional Young diagrams

Tadahisa Funaki, Makiko Sasada, Martin Sauer, Bin Xie

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1229-1275
ページ数47
ジャーナルStochastic Processes and their Applications
123
4
DOI
出版ステータスPublished - 2013

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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