论文标题
TASEP速度过程的缩放限制
Scaling limit of the TASEP speed process
论文作者
论文摘要
我们表明，完全不对称的简单排除过程（TASEP）尺度的多型固定分布在伯努利密度$ 1/2 $的伯努利量度周围达到了非平凡的限制。这是通过证明Amir，Angel和Valkó引入的TASEP速度过程围绕速度$ v = 0 $缩放给固定范围（SH）的缩放，这是作者最近引入和研究的功能值值随机过程，SH被认为是KPZ通用类中Busemann过程的通用量表限制。我们的结果通过将SH与多类粒子构型连接起来，从而增加了这种普遍性的证据。以前，SH与指数角增长模型，Brownian Last-pasgage Percolation和定向景观有关。
We show that the multi-type stationary distribution of the totally asymmetric simple exclusion process (TASEP) scales to a nontrivial limit around the Bernoulli measure of density $1/2$. This is obtained by showing that the TASEP speed process, introduced by Amir, Angel and Valkó, scales around the speed $v=0$ to the stationary horizon (SH), a function-valued stochastic process recently introduced and studied by the authors, SH is believed to be the universal scaling limit of Busemann processes in the KPZ universality class. Our results add to the evidence for this universality by connecting SH with multiclass particle configurations. Previously SH has been associated with the exponential corner growth model, Brownian last-passage percolation, and the directed landscape.
