In this paper we consider domino tilings of the Aztec diamond with doubly periodic weightings. In particular, a family of models which, for any k ∈ ℕ, includes models with k smooth regions is analyzed ...

The arctic circle theorem of Jockusch, Propp, and Shor asserts that uniformly random domino tilings of an Aztec diamond of high order are frozen with asymptotically high probability outside the ...