##### Department of Mathematics,

University of California San Diego

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### Math 211B - Group Actions Seminar & Math 288A - Probability Seminar

## Tom Hutchcroft

#### California Institute of Technology

## The Ising model on nonamenable groups

##### Abstract:

I will outline a proof that the Ising model has a continuous phase transition on any nonamenable Cayley graph. This will involve some neat probabilistic applications of ergodic-theoretic machinery such as factors of IID and the spectral theory of group actions. I will aim to make the talk accessible to a broad community.

Host: Brandon Seward

### March 3, 2022

### 3:00 PM

AP&M 6402

Zoom ID 967 4109 3409

Password: dynamics

Research Areas

Ergodic Theory and Dynamical Systems Probability Theory****************************