Seminar Probabilit├ęs-Probability -- Busemann functions and geodesics for the corner growth model

11/05/2015 - 16:30
11/05/2015 - 17:30
Firas Rassoul-Agha (University of Utah)
Burnside Hall 920 (McGill University)

We consider the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable models. Stationary cocycles are constructed for this percolation model from queueing fixed points. These cocycles define solutions to variational formulas that characterize limit shapes and yield new results for Busemann functions, geodesics and the competition interface. This is joint work with Nicos Georgiou and Timo Seppalainen.

Last edited by on Mon, 11/02/2015 - 17:12