344 citations · 2.7k across the 49 of their papers we have counts for
4 papers · 1 filter
Local statistics for random domino tilings of the Aztec diamond
Henry Cohn, Noam Elkies, James Propp
We prove an asymptotic formula for the probability that, if one chooses a domino tiling of a large Aztec diamond at random according to the uniform distribution on such tilings, th…
2-adic behavior of numbers of domino tilings
Henry Cohn
We study the 2-adic behavior of the number of domino tilings of a 2n-by-2n square as nvaries. It was previously known that this number was of the form 2^n f(n)^2, where f(n) is an…
Symmetry and specializability in continued fractions
Henry Cohn
We study explicit continued fraction expansions for certain series. Some of these expansions have symmetry that generalizes some remarkable examples discovered independently by Kmo…
A variational principle for domino tilings
Henry Cohn, Richard Kenyon, James Propp
We formulate and prove a variational principle (in the sense of thermodynamics) for random domino tilings, or equivalently for the dimer model on a square grid. This principle stat…