Limits of multilevel TASEP and similar processes

Vadim Gorin, Mykhaylo Shkolnikov

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We study the asymptotic behavior of a class of stochastic dynamics on interlacing particle configurations (also known as Gelfand-Tsetlin patterns). Examples of such dynamics include, in particular, a multi-layer extension of TASEP and particle dynamics related to the shuffling algorithm for domino tilings of the Aztec diamond.We prove that the process of reflected interlacing Brownian motions introduced by Warren in (Electron. J. Probab. 12 (2007) 573-590) serves as a universal scaling limit for such dynamics.

Original languageEnglish (US)
Pages (from-to)18-27
Number of pages10
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume51
Issue number1
DOIs
StatePublished - Feb 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Exclusion process
  • Interacting particle system
  • Reflected Brownian motion

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