Bigeodesics in first and last passage percolation

Seminar | April 10 | 3-4 p.m. | 1011 Evans Hall

 Christopher Hoffman, University of Washington

 Department of Statistics

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
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.