Stochastic Interface Models

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Existence and stability for Fokker–Planck equations with log-concave reference measure (2007, methodology): “m (1.5) and (1.6) are used as models for the random evolution of interfaces; in these cases the invariant measure is typically a Gibbs measure on a lattice with convex interaction: see [29], [19] and [17] for the physical background. In many interesting cases, the Gibbs measure converges, under a pr”
Recent progress on the Random Conductance Model (2011, background): “These have been indispensable in the study of gradient models with convex interactions (e.g., Naddaf and Spencer [107], Giacomin, Olla and Spohn [65], Funaki [55], etc).”
MATHEMATICAL STATISTICAL MECHANICS (2006, unknown): “(A review of the gradient measures, and further intriguing results, can be found in Funaki [38], Velenik [68] or Sheffield [60].”