Replica Symmetry Breaking in the Multi-Species SK Model with Centered Gaussian External Field.

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Replica Symmetry Breaking in the Multi-Species SK Model with Centered Gaussian External Field.

민동준 0 153
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.

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