11 citations · 12 across the 4 of their papers we have counts for
4 papers
Gaussian free fields for mathematicians
Scott Sheffield
The d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is a d-dimensional-time analog of Brownian motion. Just as Brownian motion is…
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…
Dimers, Tilings and Trees
Richard Kenyon, Scott Sheffield
Generalizing results of Temperley, Brooks, Smith, Stone and Tutte and others we describe a natural equivalence between three planar objects: weighted bipartite planar graphs; plana…
Linear speed large deviations for percolation clusters
Yevgeniy Kovchegov, Scott Sheffield
Let C_n be the origin-containing cluster in subcritical percolation on the lattice (1/n) Z^d, viewed as a random variable in the space Omega of compact, connected, origin-containin…