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• 16:58, 6 December 2023 Ros talk contribs created page T-2 (Created page with "In this set of problems, we use the replica method to study the equilibrium properties of a prototypical toy model of glasses, the spherical <math>p</math>-spin model. === Problem 1: the energy landscape of the REM === In this exercise we study the number <math> \mathcal{N}(E)dE </math> of configurations having energy <math> E_\alpha \in [E, E+dE] </math>. This quantity is a random variable. For large <math> N </math>, we will show that its <em> typical value </em>...")