Isomorphism theorems, random walks, and spin systems. – Tyler Helmuth (University of Bristol)

When:
December 3, 2018 @ 11:00 am – 12:30 pm
2018-12-03T11:00:00+00:00
2018-12-03T12:30:00+00:00
Where:
Seminar Room 2
Newton Institute
Contact:

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.<br><br><br><br><br>