Abstract
We extend the strong macroscopic stability introduced in Bramson and Mountford [Ann. Probab. 30 (2002) 1082–1130] 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 the extension of constructive hydrodynamics result of Bahadoran et al. [Stochastic Process. Appl. 99 (2002) 1–30, Ann. Probab. 34 (2006) 1339–1369, Electron. J. Probab. (to appear)] to nonfinite range kernels.
Citation
T. S. Mountford. K. Ravishankar. E. Saada. "Macroscopic stability for nonfinite range kernels." Braz. J. Probab. Stat. 24 (2) 337 - 360, July 2010. https://doi.org/10.1214/09-BJPS034
Information