344 citations · 1.3k across the 59 of their papers we have counts for
21 papers · 1 filter
Patterns in sequences
Richard Kenyon
We study pattern densities in binary sequences, finding optimal limit sequences with fixed pattern densities.
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.
Families of convex tilings
Richard Kenyon
We study tilings of polygons with arbitrary convex polygonal tiles. Such tilings come in continuous families obtained by moving tile edges parallel to themselves (keeping edge…
Parking functions: From combinatorics to probability
Richard Kenyon, Mei Yin
Suppose that drivers each choose a preferred parking space in a linear car park with spots. In order, each driver goes to their chosen spot and parks there if possible, and…
Shellability of face posets of electrical networks and the CW poset property
Patricia Hersh, Richard Kenyon
We prove a conjecture of Thomas Lam that the face posets of stratified spaces of planar resistor networks are shellable. These posets are called uncrossing partial orders. This she…
Holomorphic quadratic differentials on graphs and the chromatic polynomial
Richard Kenyon, Wai Yeung Lam
We study "holomorphic quadratic differentials" on graphs. We relate them to the reactive power in an LC circuit, and also to the chromatic polynomial of a graph. Specifically, we s…