【確率論セミナー・力学系セミナーと共催】Chaos for spherical Spin Glasses

開催日時: 
2019/02/15 Fri 10:30 - 11:30
場所: 
3号館127大会議室
講演者: 
Gérard Ben Arous
講演者所属: 
New York University
概要: 

Abstract: For spherical Spin Glasses at low temperature, the Gibbs measure can be "chaotic", i.e. depend very strongly on temperature. In a recent joint work with E. Subag and O. Zeitouni, we give a very detailed description of the Gibbs measure for mixed spherical Spin Glasses at low temperature, in the so-called 1RSB phase (for one step Replica-Symmetry-Breaking phase). This detailed geometric description of the Gibbs measure implies the existence of chaos, and much more. This fact has to be contrasted with the case of pure spherical models, where chaos does not exist, as proved by E. Subag.