Recent advances in First Passage Percolation

Series: 
Job Candidate Talk
Tuesday, November 26, 2013 - 15:00
1 hour (actually 50 minutes)
Location: 
Skyles 005
,  
University of Chicago
Organizer: 
First-passage percolation is a model of a random metric on a infinite network. It deals with a collection of points which can be reached within a given time from a fixed starting point, when the network of roads is given, but the passage times of the road are random. It was introduced back in the 60's but most of its fundamental questions are still open. In this talk, we will overview some recent advances in this model focusing on the existence, fluctuation and geometry of its geodesics. Based on joint works with M. Damron and J. Hanson.