# American Institute of Mathematical Sciences

February  2017, 10(1): 101-117. doi: 10.3934/dcdss.2017006

## Discrete spin systems on random lattices at the bulk scaling

 Zentrum Mathematik -M7, Technische Universität München, Boltzmannstrasse 3, 85748 Garching, Germany

Received  March 2015 Revised  June 2015 Published  December 2016

We study by Γ-convergence the stochastic homogenization of discrete energies on a class of random lattices as the lattice spacing vanishes. We consider general bounded spin systems at the bulk scaling and prove a homogenization result for stationary lattices. In the ergodic case we obtain a deterministic limit.

Citation: Marco Cicalese, Matthias Ruf. Discrete spin systems on random lattices at the bulk scaling. Discrete & Continuous Dynamical Systems - S, 2017, 10 (1) : 101-117. doi: 10.3934/dcdss.2017006
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