paper

Constructive Cavity Method

arXiv:2601.00410 · doi:10.1063/5.0291580

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.

8 pages. The research presented in this work was conducted in the period 2016-2020 within the LoTGlasSy project (ERC Grant 694925). Replaces arXiv:1909.06594v1

Constructive Cavity Method · wovepaper