CMSA Probability Seminar: On the free energy of spin glasses with multiple types


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March 9, 2023 11:00 am - 12:00 pm
via Zoom Video Conferencing

Vishesh JainJean-Christophe Mourrat - ENS Lyon

In the simplest spin-glass model, due to Sherrington and Kirkpatrick, the energy function involves interaction terms between all pairs of spins. A bipartite version of this model can be obtained by splitting the spins into two groups, which we can visualize as forming two layers, and by keeping only interaction terms that go from one to the other layer. For this and other models that incorporate a finite number of types of spins, the asymptotic behavior of the free energy remains mysterious (at least from the mathematical point of view). I will present the difficulties arising there, and some partial progress.

This seminar will be held on Zoom. For more information on how to join, please see: