The art of mathematical physics : Nicholas READ 2021-09-22

A conference to celebrate the 60th birthday of Hubert SALEUR.

Speaker : Nicholas READ

Some recent results in spin glass theory :
The nature of the ordered phase of finite-dimensional classical spin glasses (such as Ising models with random interactions with mean zero) is a long-standing and fundamental problem of statistical mechanics; in particular the question of whether there are many ordered or "pure" states at low temperature, or only those that reflect the presence of spontaneous breaking of a symmetry. I will review mostly rigorous work on finite-range disordered classical spin systems, in particular, the meaning and structure of Gibbs states, pure states, and metastates, including quantitative results and bounds for exponents.