Euler hydrodynamics for attractive particle systems in random environment

2012/01/10 by Christophe Bahadoran, Hervé Guiol, Bahadoran, Christophe +5
Mathematics · #Geometry and complex manifolds #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #math.PR

paper · pdf · doi:10.48550/arxiv.1201.2160

36 pages

arxiv created 2013/01/15 · arxiv updated 2013/01/16

Abstract

We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on \Z in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.

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