Mathematical gallery
Here are results of my attempts to simulate random combinatorical objects related to my research interests.
A uniform boxed plane partition, generating using [1] via Boltzmann samplers and Pak’s bijection.
A uniform plane partition, obtained with the same technique. Some problems in the implementation for small values…
A uniform tiling of a 30×30×30 hexagon by lozenges, generated using Propp and Wilson coupling from the past algorithm.
1 Random Sampling of Plane Partitions, O. Bodini, É. Fusy and C. Pivoteau, Combinatorics, Probability and Computing (2010), 19: 201—226