School of Mathematics Seminars and Lectures

`Bigeodesics in first and last passage percolation'

by Prof. Christopher Hoffman (Washington, USA)

Thursday, February 14, 2019 from to (Asia/Kolkata)
at AG-77
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.