Planar first-passage percolation fluctuations
How widely does the fastest travel time vary across a square grid with independent random edge times?
Random geometry
Fastest paths and self-avoiding walks ask for different geometric limits in random models.
Subjects: Probability · Analysis and dynamics
Problems in this collection
2 problemsPlanar self-avoiding walk scaling limit
Do critical self-avoiding walks on a fixed square lattice converge to SLE₈/₃ as the grid becomes finer?