Ising model on a Galton-Watson tree with a random external field
We study the Ising model on a Galton-Watson tree with a random external field, which can be interpreted as randomly introducing ”interfering vertices” with a fixed spin. This model is motivated by the study of the Ising model on tree-like random graphs, which can serve as a framework for understanding cooperative behaviour in social networks. In joint work with Quentin Berger (Sorbonne Nord), we establish necessary and sufficient conditions for a phase transition in this setting. Our proof relies on both a beautiful tree-pruning technique and non-linear conductances on trees.
Date: 28 May 2025, 11:00
Venue: Venue to be announced
Speakers: Speaker to be announced
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Members of the University only
Editor: Julien Berestycki