Analysis Seminar -- The chemical distance in critical percolation

11/12/2015 - 16:30
11/12/2015 - 17:30
Phil Sosoe (Harvard University)
Burnside Hall, Rm. 920 (McGill University)
The chemical distance is the graph distance inside percolation clusters. In the supercritical phase, this distance is known to be linear with exponential probability, enabling a detailed study of processes like random walks on the infinite cluster. By contrast, at the critical point, the distance is known to be longer than Euclidean by some (unknown) power. I will discuss this and some bounds on distance, as well as a result comparing the chemical distance to the size of the lowest crossing. Joint work with Jack Hanson and Michael Damron.


Last edited by on Wed, 11/11/2015 - 10:14