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 Electronic Journal of Probability > Vol. 15(2010) > Paper 1 open journal systems 


Strong hydrodynamic limit for attractive particle systems on Z

Christophe Bahadoran, Université Clermont 2
Hervé Guiol, TIMC - TIMB, INP Grenoble, Faculté de Médecine
Krishnamurthi Ravishankar, Dep. of Mathematics, SUNY, College at New Paltz, NY
Ellen Saada, CNRS, UMR 6085, Université de Rouen


Abstract
We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on $Z$ starting from an arbitrary initial profile. We generalize earlier works by Sepp"al"ainen (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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Pages: 1-43

Published on: January 4, 2010
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Electronic Journal of Probability. ISSN: 1083-6489