@article{eb4f2d8d34fc42fd9870af570dced9c7,
title = "Fluctuations in an evolutional model of two-dimensional Young diagrams",
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 = "Exclusion process, Fluctuation, Hydrodynamic limit, Young diagram, Zero-range process",
author = "Tadahisa Funaki and Makiko Sasada and Martin Sauer and Bin Xie",
note = "Funding Information: The first author is supported in part by the JSPS Grant-in-Aid (A) 22244007 . The second author is supported in part by the JSPS Grant-in-Aid for Research Activity Start-up 23840036 . The third author is supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529. The fourth author is supported in part by the JSPS Grant-in-Aid for Young Scientist (B) 21740067 .",
year = "2013",
doi = "10.1016/j.spa.2012.12.005",
language = "English",
volume = "123",
pages = "1229--1275",
journal = "Stochastic Processes and their Applications",
issn = "0304-4149",
publisher = "Elsevier",
number = "4",
}