arXiv subjects

Jean-Dominique Deuschel

Publications and source records attributed to Jean-Dominique Deuschel.

38 records · Page 3Linked to original sources

arXiv2008

The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman (Probab. Theory Related Fields 129 (2004) 219--244) to the non-reversible setting.

math.PR↗

arXiv2008

Strict convexity of the free energy for non-convex gradient models at moderate $β$

We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict convexity of the surface tension at high temperature. This is an extension of Funaki and Spohn's result, where the strict convexity of potential was crucial in their proof that for every tilt there is a unique, shift invariant, ergodic Gibbs measure for the $\nablaϕ$ field.

math-ph↗