Presented by:
Tyler Helmuth
Date:
Monday 3rd December 2018 - 11:00 to 12:30
Venue:
INI Seminar Room 2
Abstract:
The celebrated
BFS-Dynkin isomorphism theorem relates the local time of a random walk to the
square of the Gaussian free field. I will discuss one way to see this
connection, and also a similar relation between the local time of the
vertex-reinforced jump process and hyperbolic spin models. If time permits I
will also discuss an application: proving that the vertex-reinforced jump
process is always recurrent in two dimensions.