English

Macroscopic stability for nonfinite range kernels

Probability 2011-09-12 v2

Abstract

We extend the strong macroscopic stability introduced in Bramson & Mountford (2002) for one-dimensional asymmetric exclusion processes with finite range to a large class of one-dimensional conservative attractive models (including misanthrope process) for which we relax the requirement of finite range kernels. A key motivation is extension of constructive hydrodynamics result of Bahadoran et al. (2002, 2006, 2008) to nonfinite range kernels.

Keywords

Cite

@article{arxiv.0903.0498,
  title  = {Macroscopic stability for nonfinite range kernels},
  author = {Tom S. Mountford and K. Ravishankar and Ellen Saada},
  journal= {arXiv preprint arXiv:0903.0498},
  year   = {2011}
}
R2 v1 2026-06-21T12:17:45.172Z