Here are results of my attempts to simulate random combinatorical objects related to my research interests.
A uniform boxed plane partition with a large number of boxes, generated using Boltzmann samplers and Pak’s bijection1.
A uniform plane partition, obtained with the same technique. Some problems in the implementation for small values…
A uniform tiling of a 30x30x30 hexagon by lozenges, generated using Propp and Wilson coupling from the past algorithm.
The amoeba of a genus 1 Harnack curve blowing up.