“A Second Moment Method for High-temperature Mean-field
It is well known that in mean-field spin glasses, the annealed free energy typically does not agree with the quenched one, even at high temperature. We propose a suitable conditioning argument which leads to an evaluation of the quenched free energy by a conditional second moment method. The proper conditioning is on the solution of the TAP equations. Up to now, it has been worked out only for the SK-model, and it does not (yet) work in the full high-temperature regime. The method can probably be applied much wider.
Monday, April 16 – 4:00PM — Room 200 of Sequoia Hall
Erwin Bolthausen (University of Zurich)
April 16, 2018
4:00 PM - 5:00 PM