##### Department of Mathematics,

University of California San Diego

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### Math 211 - Group Actions Seminar

## Lingfu Zhang

#### Princeton University

## Factor of IID for the free Ising model on the d-regular tree

##### Abstract:

It is known that there are factors of IID for the free Ising model on the d-regular tree when it has a unique Gibbs measure and not when reconstruction holds (when it is not extremal). We construct a factor of IID for the free Ising model on the d-regular tree in (part of) its intermediate regime, where there is non-uniqueness but still extremality. The construction is via the limit of a system of stochastic differential equations. \\ \\ This is a joint work with Danny Nam and Allan Sly.

Host: Brandon Seward

### May 4, 2021

### 10:00 AM

### Zoom ID 967 4109 3409 (email Nattalie Tamam or Brandon Seward for the password)

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