Scaling Limit for a Class of Gradient Fields with Non-convex Potentials
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چکیده
where ̺ is a positive measure with compact support in (0,∞). Hence V is symmetric and nonconvex in general. While for strictly convex V ’s the translation-invariant, ergodic gradient Gibbs measures are completely characterized by their tilt, a non-convex potential as above may lead to several ergodic gradient Gibbs measures with zero tilt. Still, every ergodic, zero-tilt gradient Gibbs measure for the potential V from above scales to a Gaussian free field.
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تاریخ انتشار 2007