Minimizers of Convex Functionals Arising in Random Surfaces

Mathematics – Analysis of PDEs

Scientific paper

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32 pages, 1 figure

Scientific paper

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

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