Title: Shifted weights and restricted path length in first-passage percolation
Speaker: Timo Seppäläinen
Speaker Info: University of Wisconsin
Brief Description:
Special Note:
Abstract:
First-passage percolation has remained a challenging field of study since its introduction in 1965 by Hammersley and Welsh. There are many outstanding open problems. Among these are properties of the limit shape and the Euclidean length of geodesics. This talk describes a convex duality between a shift of the edge weights and the length of the geodesic, together with related results on the regularity of the limit shape as a function of the shift. The talk is based on joint work with Arjun Krishnan (Rochester) and Firas Rassoul-Agha (Utah).Date: Thursday, April 26, 2018