Location: HILL 705
Date & time: Thursday, 28 September 2017 at 12:00PM - 1:00PM
Abstract: The slow bond model is a variant of the 1-dimensional Totally Asymmetric Exclusion Process, where the bond at the origin rings at a slower rate r<1. Janowsky and Lebowitz conjectured that for all values of r<1, the single slow bond produces a macroscopic change in the current of the system. Equivalently, this can be viewed as a pinning problem in last passage percolation. We answer this question in the affirmative.