Limits of multilevel TASEP and similar processes

作者：Garin Vadim^*; Shkolnikov Mykhaylo

来源：Annales de l Institut Henri Poincare-Probabilites et Statistiques, 2015, 51(1): 18-27.

DOI：10.1214/13-AIHP555

• Interacting particle system
• Exclusion process
• Reflected Brownian motion

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.

• 出版日期2015-2
• 单位MIT