Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit.
Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster.
Recurrence and transience for long-range reversible random walks on a random point process.
A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus
We consider a generic diffusion on the 1D torus and give a simple representation formula for the large deviation rate functional of its invariant probability measure, in the limit of vanishing noise. Previously, this rate functional had been characterized by M. I. Freidlin and A. D. Wentzell as solution of a rather complex optimization problem. We discuss this last problem in full generality and show that it leads to our formula. We express the rate functional by means of a geometric transformation...
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