Abstract
We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on $\mathbb{Z}$ starting from an arbitrary initial profile. We generalize earlier works by Seppalainen (1999) and Andjel et al. (2004). Our constructive approach requires new ideas since the subadditive ergodic theorem (central to previous works) is no longer effective in our setting.
Citation
Christophe Bahadoran. Hervé Guiol. Krishnamurthi Ravishankar. Ellen Saada. "Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$." Electron. J. Probab. 15 1 - 43, 2010. https://doi.org/10.1214/EJP.v15-728
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