Random geometry
Fastest paths and self-avoiding walks ask for different geometric limits in random models.
2 problemsProbability
Random models and the laws governing their fluctuations and limits.
Collections
Browse collectionsA few problems to explore
3 totalPlanar self-avoiding walk scaling limit
Do critical self-avoiding walks on a fixed square lattice converge to SLE₈/₃ as the grid becomes finer?
Planar first-passage percolation fluctuations
How widely does the fastest travel time vary across a square grid with independent random edge times?
Kannan–Lovász–Simonovits conjecture
Can local changes control the fluctuations of functions under log-concave probability laws with a constant independent of dimension?