On Hydrodynamic Limits of Young Diagrams
| Autor: | Jianfei Xue, Sunder Sethuraman, Ibrahim Fatkullin |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
60K35 82C22 Stochastic modelling FOS: Physical sciences shape symbols.namesake FOS: Mathematics Statistical physics Energy structure Invariant (mathematics) Gibbs measure Scaling Mathematical Physics Mathematics hydrodynamic dynamic Interacting particle system Diagram Probability (math.PR) weakly Mathematical Physics (math-ph) zero-range 60K35 symbols Young diagram Statistics Probability and Uncertainty 82C22 interacting particle system Mathematics - Probability |
| Zdroj: | Electron. J. Probab. |
| DOI: | 10.48550/arxiv.1809.03592 |
| Popis: | 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 by several over the years. The purpose of this article is to study corresponding `dynamical' limits of which less is understood. We show that the hydrodynamic scaling limits of the diagram shape functions may be described by different types parabolic PDEs, depending on the energy structure. Comment: 43 pages, 4 figures |
| Databáze: | OpenAIRE |
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