344 citations · 1.3k across the 59 of their papers we have counts for
68 papers
Patterns in sequences
Richard Kenyon
We study pattern densities in binary sequences, finding optimal limit sequences with fixed pattern densities.
Multideterminantal measures
Richard Kenyon
We define multideterminantal probability measures, a family of probability measures on where , generalizing determinantal measures (which correspond to…
Six-vertex model with rare corners and random restricted permutations
Vadim Gorin, Richard Kenyon
We study limit shapes in two equivalent models: the six-vertex model in the limit and the random Mallows permutation with restricted permutation matrix. We give the Euler-L…
Some combinatorial problems arising in the dimer model
Richard Kenyon
We discuss some diverse open problems in the dimer model, motivated by a geometric viewpoint. This is part of a conference proceedings for the OPAC 2022 conference.
Planar -webs and the boundary measurement matrix
Richard Kenyon, Haolin Shi
We compute connection probabilities for reduced -webs in the triple-dimer model on circular planar graphs using the boundary measurement matrix (reduced Kasteleyn matrix). As on…
Limit shapes from harmonicity: dominos and the five vertex model
Richard Kenyon, István Prause
We discuss how to construct limit shapes for the domino tiling model (square lattice dimer model) and -vertex model, in appropriate polygonal domains. Our methods are based on t…