论文标题
ASEP速度过程
The ASEP speed process
论文作者
论文摘要
对于具有步骤初始数据和第二类粒子的ASEP，我们证明，随着时间的流逝，随着时间的流逝，第二类粒子几乎可以肯定地达到了均匀分布在$ [-1,1] $上的速度。这积极解决[Amir，Angel和Valko的猜想1.9和1.10，“ Tasep速度过程”，概率年鉴39，1205---1242，2011]，并允许我们构建ASEP速度过程。
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity that is uniformly distributed on $[-1,1]$. This positively resolves Conjecture 1.9 and 1.10 of [Amir, Angel and Valko, "The TASEP speed process", Annals of Probability 39, 1205--1242, 2011] and allows us to construct the ASEP speed process.
