English

Stabilization time of finite configurations with a second class particle in discrete TASEP

Probability 2026-03-31 v1

Abstract

We consider finite configurations of particles and holes sampled according to Bernoulli product measure and with a second class particle added to a random position. The stabilization time is the number of steps needed to reach an ordered state under discrete time TASEP dynamics with parallel update. We describe the additional time of stabilization caused by the presence of the second class particle.

Keywords

Cite

@article{arxiv.2603.28170,
  title  = {Stabilization time of finite configurations with a second class particle in discrete TASEP},
  author = {Bori Anna Mészáros and Bálint Vető},
  journal= {arXiv preprint arXiv:2603.28170},
  year   = {2026}
}

Comments

15 pages, 1 figure