AffiliationUniv Arizona, Dept Math
interacting particle system
MetadataShow full item record
PublisherUNIV WASHINGTON, DEPT MATHEMATICS
CitationFatkullin, I., Sethuraman, S., & Xue, J. (2020). On hydrodynamic limits of Young diagrams. Electronic Journal of Probability, 25.
RightsCopyright © The Author(s) licensed under Creative Commons Attribution 4.0 International.
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AbstractWe consider a family of stochastic models of evolving two-dimensional Young diagrams, given in terms of certain energies, with Gibbs invariant measures. 'Static' scaling limits of the shape functions, under these Gibbs measures, have been shown in the literature. The purpose of this article is to study corresponding, but less understood, 'dynamical' limits. We show that the hydrodynamic scaling limits of the diagram shape functions may be described by different types of parabolic PDEs, depending on the energy structure.
NoteOpen access journal
VersionFinal published version
Except where otherwise noted, this item's license is described as Copyright © The Author(s) licensed under Creative Commons Attribution 4.0 International.