Free energy in the generalized Sherrington-Kirkpatrick mean field model
Dmitry Panchenko
Abstract
Recently Michel Talagrand gave a rigorous proof of the Parisi formula in the Sherrington-Kirkpatrick model. In this paper we build upon the methodology developed by Talagrand and extend his result to the class of SK type models in which the spins have arbitrary prior distribution on a bounded subset of the real line.
Create a lesson
Related papers
Sublinear multi-type preferential attachment
Anna Ben-Hamou, Nicolas Broutin, Camille Cazaux
Uniform Central Limit Theorems for Degree Distributions of Sparse Graphon Models
Robert Lunde, Soumendra Lahiri
Matching Random Point Sets with Minimum Distortion
Itai Benjamini, Mark Braverman, Elad Tzalik et al.
Uniqueness and full coverage in k-neighbor graphs
David Coupier, Benoît Henry, Benedikt Jahnel et al.
Bass martingales need not stretch
Mathias Beiglböck, Manuel Hasenbichler, Gudmund Pammer
Universality of smallest singular values of random row submatrices and phase retrieval problems
Shu Wen, Christian E. Häggblom, Xiufan Yang