2 citations · 2 across the 3 of their papers we have counts for
5 papers · 2 filters
Generating Random Elements of Finite Distributive Lattices
James Propp
This survey article describes a method for choosing uniformly at random from any finite set whose objects can be viewed as constituting a distributive lattice. The method is based…
Domino tilings with barriers
James Propp, Richard Stanley
In this paper, we continue the study of domino-tilings of Aztec diamonds. In particular, we look at certain ways of placing ``barriers'' in the Aztec diamond, with the constraint t…
Twenty Open Problems in Enumeration of Matchings: Progress Report
James Propp
This document is a brief summary of progress that has been made on the problems posed in the document "Twenty Open Problems in Enumeration of Matchings" (also available from this s…
Twenty Open Problems in Enumeration of Matchings
James Propp
This document is an exposition of an assortment of open problems arising from the exact enumeration of (perfect) matchings of finite graphs. Roughly half have been solved at the ti…
The shape of a typical boxed plane partition
Henry Cohn, Michael Larsen, James Propp
Using a calculus of variations approach, we determine the shape of a typical plane partition in a large box (i.e., a plane partition chosen at random according to the uniform distr…