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Da Prato-Zabczyk's maximal inequality revisited. I.

Jan Seidler (1993)

Mathematica Bohemica

Existence, uniqueness and regularity of mild solutions to semilinear nonautonomous stochastic parabolic equations with locally lipschitzian nonlinear terms is investigated. The adopted approach is based on the factorization method due to Da Prato, Kwapień and Zabczyk.

Decay of covariances, uniqueness of ergodic component and scaling limit for a class of φ systems with non-convex potential

Codina Cotar, Jean-Dominique Deuschel (2012)

Annales de l'I.H.P. Probabilités et statistiques

We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for φ -Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.

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