Simulations
Sampling random structures allows us to validate theoretical findings and develop new conjectures. The visualizations of these structures can also possess an aesthetic quality. This gallery features images, videos, and interactive 3D models of random geometric objects from my research. Click on an image to explore the associated subgallery.
Planar maps
Simple quadrangulations (32M, 64M)
Simple quadrangulations (1M, 2M, 4M, 8M, 16M)
Simple triangulations (1M, 2M, 4M, 8M)
Quadrangulations (Interactive)
Quadrangulations (1M, 2M, 4M, 8M)
Schnyder-wood-decorated triangulations (1M, 2M, 4M, 8M)
Trees
Stable trees
Condensation trees
Looptrees
Graphs
Brownian graphon: cographs
Permutations
Brownian permuton: separable permutations
Longest increasing subsequence of random separable permutations
Links
Be sure to also check out the visualisations of these researchers: