R. Kenyon

activity

19942026

most citedA variational principle for domino tilings

344 citations · 1.3k across the 59 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.CO2008

Combinatorics of Tripartite Boundary Connections for Trees and Dimers

Richard W. Kenyon, David B. Wilson

A grove is a spanning forest of a planar graph in which every component tree contains at least one of a special subset of vertices on the outer face called nodes. For the natural p…

math.PR2008

Monotone loop models and rational resonance

Alan Hammond, Richard Kenyon

Let $T_{n, m} = Z_{n} \times Z_{m}$ , and define a random mapping $ϕ : T_{n, m} \to T_{n, m}$ by $ϕ (x, y) = (x + 1, y)$ or $(x, y + 1)$ independently over $x$ and $y$ and with equal…

math.MG2008

On the characterization of expansion maps for self-affine tilings

Richard Kenyon, Boris Solomyak

We consider self-affine tilings in $R^{n}$ with expansion matrix $ϕ$ and address the question which matrices $ϕ$ can arise this way. In one dimension, $λ$ is an expansion factor of…