Random spanning forests and hyperbolic symmetry (Tyler Helmuth, University of Bristol)

12.11.2019 16:15

The arboreal gas is a probability measure on unrooted spanning forests of a graph G that gives weight beta to each edge in a forest. This specializes to the uniform measure on unrooted forests when beta is one. While it is well-known that random rooted forests are related to the Gaussian free field, I will discuss how the arboreal gas is instead related to a spin system with hyperbolic symmetry. This symmetry is responsible for some surprising behaviour. Based on joint work in progress with Roland Bauerschmidt, Nick Crawford, and Andrew Swan.

Lieu

Room 17, Att. unusual day, Séminaire "Mathématique Physique"

entrée libre