Fluctuations in an evolutional model of two-dimensional Young diagrams
Fluctuations in an evolutional model of two-dimensional Young diagrams
复制标题
二维杨氏图演化模型中的涨落
DOI：
10.1016/j.spa.2012.12.005
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
M. Sauer and B. Xie
中科院分区：
文献类型：
--
作者：
T. Funaki;M. Sasada;M. Sauer and B. Xie
我们讨论了与Funaki和Sasada（2010）[9]建立的流体动力学极限相对应的二维Young图动力学的非平衡涨落问题，并导出了极限下的线性随机偏微分方程。我们证明了它们的不变测度与静态情况下出现在波动极限中的高斯测度是相同的。
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.