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

arXiv comment32 pages, 1 figure

References in corpus (1)

• A variational principle for domino tilings

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