Continuous symmetry breaking and synchronization problem
Event details
| Date | 28.03.2023 |
| Hour | 15:00 › 15:50 |
| Speaker | Christophe Garban (Lyons / Geneve) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract:
In this talk, I will start by introducing spin systems on the lattice Z^d. I will then focus mainly on spin systems whose underlying symmetry is continuous (as opposed to the celebrated Ising model whose symmetry sigma->-sigma is discrete). The goal of this talk will be to explain a surprising link which appeared recently between these models in statistical physics and questions in Bayesian statistics / statistical reconstruction. I will introduce a new way to identify long-range-order in these spins systems with continuous symmetry (also called "symmetry breaking") which is based on the concept of "group synchronization" and relies in particular on a recent work by Abbe, Massoulié, Montanari, Sly and Srivastava (2018).
The talk will not require any background in statistical physics.
This is a joint work with Thomas Spencer (IAS, Princeton).
Practical information
- General public
- Free