Constructive Cavity Method

Published 1 Jan 2026 in cond-mat.stat-mech | (2601.00410v1)

Abstract: We show that the functional appearing in the celebrated Parisi formula for the free energy of the Sherrington-Kirkpatrick model can be found from the incremental free energy obtained by Cavity Method if one assumes that the state is a product of independent Random Energy models.

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Simone Franchini

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