Replica Symmetry Breaking in the Multi-Species SK Model with Centered Gaussian External Field.
민동준
27동 116호
0
153
04.02 17:18
| 구분 | 확률론 |
|---|---|
| 일정 | 2026-06-26(금) 15:00~16:30 |
| 세미나실 | 27동 116호 |
| 강연자 | 김희준 (University of Minnesota) |
| 담당교수 | 서인석 |
| 기타 |
For many spin glass models, the Parisi formula identifies the large-N limit of the free energy as the minimum of the Parisi functional over a space of probability measures. In this talk, I will present a recent result regarding the de Almeida–Thouless transition surface. Specifically, we characterize the conditions under which the minimizer is a Dirac measure in the multi-species Sherrington–Kirkpatrick model with a centered Gaussian external field and a positive-semidefinite variance profile matrix.