Minimizers of Convex Functionals Arising in Random Surfaces

Abstract

We investigate regularity of minimizers in two dimensions for certain classes of non-smooth convex functionals. In particular our results apply to the surface tensions that appear in recent works on random surfaces and random tilings of Kenyon, Okounkov and others

32 pages, 1 figure

References in corpus (1)

• A variational principle for domino tilings

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