Limits of multilevel TASEP and similar processes
Limits of multilevel TASEP and similar processes
复制标题
多级 TASEP 和类似过程的局限性
DOI：
10.1214/13-aihp555
复制
发表时间：
2012
影响因子：
1.5
通讯作者：
Mykhaylo Shkolnikov
中科院分区：
文献类型：
--
作者：
V. Gorin;Mykhaylo Shkolnikov
我们研究了一类随机动力学关于交错粒子构型(也称为Gelfand-Tsetlin图案)的渐近行为。这种动力学的例子尤其包括TASEP的多层扩展和与用于阿兹特克钻石的多米诺骨牌拼接的洗牌算法相关的粒子动力学。我们证明了Warren在Cite{W}中引入的反射交错布朗运动过程是这种动力学的普适标度极限。
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 \cite{W} serves as a universal scaling limit for such dynamics.