Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature

Seminar | October 19 | 3:10-4 p.m. | 340 Evans Hall

Speaker/Performer:  Arka Adhikari, Stanford University

Sponsor:  Department of Statistics

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

Event Contact:  alanmhammond@yahoo.co.uk, 510-000000000

Access Coordinator:  Alan Hammond,  alanmhammond@yahoo.co.uk,  510-000-0000