Continuous symmetry breaking and synchronization problem


Event details

Date 28.03.2023
Hour 15:0015:50
Speaker Christophe Garban  (Lyons / Geneve)
Category Conferences - Seminars
Event Language English

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


Probability and Stochastic Analysis Seminar

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