@article{70,
abstract = {We consider the totally asymmetric simple exclusion process in a critical scaling parametrized by a≥0, which creates a shock in the particle density of order aT−1/3, T the observation time. When starting from step initial data, we provide bounds on the limiting law which in particular imply that in the double limit lima→∞limT→∞ one recovers the product limit law and the degeneration of the correlation length observed at shocks of order 1. This result is shown to apply to a general last-passage percolation model. We also obtain bounds on the two-point functions of several airy processes.},
author = {Nejjar, Peter},
issn = {1980-0436},
journal = {Latin American Journal of Probability and Mathematical Statistics},
number = {2},
pages = {1311--1334},
publisher = {ALEA},
title = {{Transition to shocks in TASEP and decoupling of last passage times}},
doi = {10.30757/ALEA.v15-49},
volume = {15},
year = {2018},
}