OxTalks is Changing
During Michaelmas Term, OxTalks will be moving to a new platform (full details are available on the Staff Gateway).
For now, continue using the current page and event submission process (freeze period dates to be advised).
If you have any questions, please contact halo@digital.ox.ac.uk
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
Speaker:
Irene Ayuso Ventura (University of Durham)
Organising department:
Department of Statistics
Part of:
Probability seminar
Booking required?:
Not required
Audience:
Public
Editors:
Christina Goldschmidt,
Julien Berestycki
