Joint distribution of Busemann functions for the corner growth model

Series
Stochastics Seminar
Time
Thursday, February 28, 2019 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Wai Tong (Louis) Fan – Indiana University, Bloomington – waifan@iu.eduhttps://sites.google.com/site/louisfanmath/
Organizer
Michael Damron
We present the joint distribution of the Busemann functions, in all directions of growth, of the exactly solvable corner growth model (CGM). This gives a natural coupling of all stationary CGMs and leads to new results about geodesics. Properties of this joint distribution are accessed by identifying it as the unique invariant distribution of a multiclass last passage percolation model. This is joint work with Timo Seppäläinen.