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2010 Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$
Christophe Bahadoran, Hervé Guiol, Krishnamurthi Ravishankar, Ellen Saada
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Electron. J. Probab. 15: 1-43 (2010). DOI: 10.1214/EJP.v15-728

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.

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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

Information

Accepted: 4 January 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1193.60113
MathSciNet: MR2578381
Digital Object Identifier: 10.1214/EJP.v15-728

Subjects:
Primary: 60K35
Secondary: 82C22

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