Macroscopic stability for nonfinite range kernels

Tom Mountford (1) , K. Ravishankar (2) , Ellen Saada (3)

1 EPFL - Institut de Mathématiques
2 SUNY - Department of Mathematics
3 LMRS - Laboratoire de Mathématiques Raphaël Salem

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.

Mots clés: Particle system; conservative systems; coupling; attractiveness; discrepancies; strong (a.s.) hydrodynamics

Domaines: Probabilités [math.PR]

Tom Mountford, K. Ravishankar, Ellen Saada. Macroscopic stability for nonfinite range kernels. 2008. ⟨hal-00365152v1⟩