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Probability and Combinatorics

Tuesday, February 13, 2024 - 3:30pm

Yuxin Zhou

University of Chicago


University of Pennsylvania


In this talk I will discuss the spherical mixed p-spin glass model at zero temperature. I will present some recent results that classify the possible structure of the functional ordered parameter. For spherical p+s spin glasses, we classify all possibilities for the Parisi measure as a function of the model. Moreover, for the spherical spin models with n components, the Parisi measure at zero temperature is at most n-RSB or n-FRSB. Some of these results are jointly with Antonio Auffinger.