Monotonic surfaces spanning finite regions of Zd arise in many contexts, including DNA-based self-assembly, card-shuffling and lozenge tilings. We explore how we can sample these surfaces when theâ€¦ (More)

Given a planar triangulation, a 3-orientation is an orientation of the internal edges so all internal vertices have outdegree three. Each 3-orientation gives rise to a unique edge coloring known as aâ€¦ (More)

Colloids are mixtures of two different types of molecules. The model has a hard-core constraint forcing all the molecules to occupy non-overlapping positions, but there are no additional interactionsâ€¦ (More)

We study the mixing time of a Markov chain Mnn on permutations that performs nearest neighbor transpositions in the non-uniform setting, a problem arising in the context of self-organizing lists. Weâ€¦ (More)

Colloids are binary mixtures of molecules with one type of molecule suspended in another. It is believed that at low density typical configurations will be well-mixed throughout, while at highâ€¦ (More)

A Self-Organizing list is a list that we would like to keep in mostly decreasing order of call frequency without knowing the frequencies at the outset. The Move-Ahead-One algorithm moves an itemâ€¦ (More)

Given a planar triangulation, a 3-orientation is an orientation of the internal edges so all internal vertices have out-degree three. Each 3-orientation gives rise to a unique edge coloring known asâ€¦ (More)