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LA Probability Forum

Thursday, May 25, 2023
5:00pm to 6:00pm
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Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature
Arka Adhikari, Department of Mathematics, Stanford University,

UCLA, talks in Math Sciences Room 6627

We consider general mixed $p$-spin mean field spin glass models and provide a method to prove that the spectral gap of the Dirichlet form associated with the Gibbs measure is of order one at sufficiently high temperature. Our proof is based on an iteration scheme relating the spectral gap of the $N$-spin system to that of suitably conditioned subsystems.

Based on joint Work w/ C. Brennecke, C. Xu, and H-T Yau

For more information, please contact Math Dept by phone at 626-395-4335 or by email at [email protected].