School of Mathematics Seminars and Lectures

`Bigeodesics in first and last passage percolation'

by Prof. Christopher Hoffman (Washington, USA)

Asia/Kolkata
AG-77

AG-77

Description
Abstract First and last passage percolation are statistical physics models of random growth. These models are widely believed to belong to the Kardar-Parisi-Zhang universality class. I will define these two models and talk about what it means to be in this universality class. A longstanding question about these models is whether they have have bi-infinite geodesics. This question is of interest to physicists due to its connections to the Ising model. I will discuss the recent progress on this question. This talk is based on joint work with Daniel Ahlberg, Riddhipratim Basu and Allan Sly.