期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2018
卷号：XV
期号：2
页码：1311-1334
DOI：10.30757/ALEA.v15-49
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider the totally asymmetric simple exclusion process in a criticalscaling parametrized by a ≥ 0, which creates a shock in the particle density of orderaT−1/3, T the observation time. When at a = 0 one has step initial data, we providebounds on the limiting law of particle positions for a > 0, which in particular implythat in the double limit lima→∞ limT→∞ one recovers the product limit law andthe degeneration of the correlation length observed at shocks of order 1. This resultcan be phrased in terms of a general last passage percolation model. We also obtainbounds on the decoupling of two-point functions of several Airy processes.
关键词：KPZ Universality; TASEP; Shocks; Last Passage Percolation.
