Student Probability Seminar

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Dynamics of Mean-Field Spin Glasses II

Speaker: Reza Gheissari

Location: Warren Weaver Hall 805

Date: Thursday, March 1, 2018, 11 a.m.

Synopsis:

We continue last weeks discussion, focusing on the question of timescales for convergence to equilibrium for the Langevin dynamics of the spherical $p$-spin glass. We sketch a proof of order one convergence time, and a log-Sobolev inequality at high temperatures, and discuss the expected dynamical phase transition and its relation to the static transition and the complexity of the energy landscape.