On an invariance principle for phase separation lines
Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder
Random Walks in Attractive Potentials: The Case of Critical Drifts
We consider random walks in attractive potentials - sub-additive functions of their local times. An application of a drift to such random walks leads to a phase transition: If the drift is small than the walk is still sub-ballistic, whereas the walk is ballistic if the drift is strong enough. The set of sub-critical drifts is convex with non-empty interior and can be described in terms of Lyapunov exponents (Sznitman, Zerner ). Recently it was shown that super-critical drifts lead to a limiting...
Sharp asymptotics for metastability in the random field Curie-Weiss model.
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