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Constrained minima for non local functionals
No full textWe consider variational problems involving nonlocal free energy functionals that arise from Gibbs measures with Kac potentials and are related to the characterization of the optimal (i.e., typical) shape of an interface under given constraints on the magnetization profile
Tunnelling in nonlocal evolution equations
No full textWe study "tunnelling" in a one-dimensional, nonlocal evolution equation by assigning a penalty functional to orbits which deviate from solutions of the evolution equation. We discuss the variational problem of computing the minimal penalty for orbits which connect two stable, stationary solutions
Convergence of stochastic cellular automaton to Burgers'equation: fluctuations and stability
No full text
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