Publications (41)
Height fluctuations in the honeycomb dimer model
Richard Kenyon
A note on tiling with integer-sided rectangles
Richard Kenyon
Conformal invariance of loops in the double-dimer model
Richard Kenyon
Bipodal structure in oversaturated random graphs
Richard Kenyon, Charles Radin, Kui Ren +1
Tiling a rectangle with the fewest squares
Richard Kenyon
Random two-component spanning forests
Adrien Kassel, Richard Kenyon, Wei Wu
Right-angled hexagon tilings of the hyperbolic plane
Richard Kenyon
The Laplacian on planar graphs and graphs on surfaces
Richard Kenyon
On the characterization of expansion maps for self-affine tilings
Richard Kenyon, Boris Solomyak
An introduction to the dimer model
Richard Kenyon
The asymptotic determinant of the discrete Laplacian
Richard Kenyon
Shape Convergence for Aggregate Tiles in Conformal Tilings
Richard Kenyon, Kenneth Stephenson
Determinantal spanning forests on planar graphs
Richard Kenyon
On the asymptotics of constrained exponential random graphs
Richard Kenyon, Mei Yin
Lectures on Dimers
Richard Kenyon
Rhombic embeddings of planar graphs with faces of degree 4
Richard Kenyon, Jean-Marc Schlenker
Random curves on surfaces induced from the Laplacian determinant
Adrien Kassel, Richard Kenyon
Dimers and Amoebae
Richard Kenyon, Andrei Okounkov, Scott Sheffield
Hausdorff dimension of the multiplicative golden mean shift
Richard Kenyon, Yuval Peres, Boris Solomyak
The six-vertex model and Schramm-Loewner evolution
Richard Kenyon, Jason Miller, Scott Sheffield +1
Multipodal Structure and Phase Transitions in Large Constrained Graphs
Richard Kenyon, Charles Radin, Kui Ren +1
Fixed-energy harmonic functions
Aaron Abrams, Richard Kenyon
Spanning forests and the vector bundle Laplacian
Richard Kenyon
Principal minors and rhombus tilings
Richard Kenyon, Robin Pemantle
Double-dimers, the Ising model and the hexahedron recurrence
Richard Kenyon, Robin Pemantle
Conformal invariance of domino tiling
Richard Kenyon
Permutations with fixed pattern densities
Richard Kenyon, Daniel Kral, Charles Radin +1
Monotone loop models and rational resonance
Alan Hammond, Richard Kenyon
Branched Polymers
Richard Kenyon, Peter Winkler
Topological mixing for substitutions on two letters
Richard Kenyon, Lorenzo Sadun, Boris Solomyak
Planar dimers and Harnack curves
Richard Kenyon, Andrei Okounkov
The phases of large networks with edge and triangle constraints
Richard Kenyon, Charles Radin, Kui Ren +1
The Laplacian and $\bar\partial$ operators on critical planar graphs
Richard Kenyon
Hausdorff dimension for fractals invariant under the multiplicative integers
Richard Kenyon, Yuval Peres, Boris Solomyak
The Construction of Self-Similar Tilings
Richard Kenyon
Dimers, Tilings and Trees
Richard Kenyon, Scott Sheffield
Holomorphic quadratic differentials on graphs and the chromatic polynomial
Richard Kenyon, Wai Yeung Lam
Bipolar orientations on planar maps and SLE$_{12}$
Richard Kenyon, Jason Miller, Scott Sheffield +1
A variational principle for domino tilings
Henry Cohn, Richard Kenyon, James Propp
Limit shapes and the complex burgers equation
Richard Kenyon, Andrei Okounkov
Local statistics of lattice dimers
Richard Kenyon