128 citations · 165 across the 5 of their papers we have counts for
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math-ph2003
Dimers and Amoebae
Richard Kenyon, Andrei Okounkov, Scott Sheffield
We study random surfaces which arise as height functions of random perfect matchings (a.k.a. dimer configurations) on an weighted, bipartite, doubly periodic graph G embedded in th…
math-ph2003★ 23 cited
Rhombic embeddings of planar graphs with faces of degree 4
Richard Kenyon, Jean-Marc Schlenker
Given a finite or infinite planar graph all of whose faces have degree 4, we study embeddings in the plane in which all edges have length 1, that is, in which every face is a rhomb…