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Univ Arizona, Dept MathIssue Date
2020-05-05Keywords
Young diagramGibbs measure
interacting particle system
zero-range
weakly
hydrodynamic
shape
dynamic
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UNIV WASHINGTON, DEPT MATHEMATICSCitation
Fatkullin, I., Sethuraman, S., & Xue, J. (2020). On hydrodynamic limits of Young diagrams. Electronic Journal of Probability, 25.Rights
Copyright © The Author(s) licensed under Creative Commons Attribution 4.0 International.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
We 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.Note
Open access journalISSN
1083-6489Version
Final published versionae974a485f413a2113503eed53cd6c53
10.1214/20-ejp455
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Except where otherwise noted, this item's license is described as Copyright © The Author(s) licensed under Creative Commons Attribution 4.0 International.