English

A limit theorem for particle current in the symmetric exclusion process

Probability 2010-09-27 v1

Abstract

Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The main novelty is that the results do not assume any translation invariance, and hold for most initial configurations.

Keywords

Cite

@article{arxiv.1002.4148,
  title  = {A limit theorem for particle current in the symmetric exclusion process},
  author = {Alexander Vandenberg-Rodes},
  journal= {arXiv preprint arXiv:1002.4148},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T14:49:49.890Z