Higher order expansions for the overlap of the SK model
Bardina i Simorra, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Márquez-Carreras, David (Universitat de Barcelona. Facultat de Matemàtiques)
Rovira, Carles (Universitat de Barcelona. Facultat de Matemàtiques)
Tindel, Samy (Université Paris. Institut Galilée. Département de Mathématiques)

Imprint:	Birkhäuser Basel, 2004
Description:	23 pàg.
Abstract:	In this note, the Sherrington-Kirkpatrick model of interacting spins is under consideration. In the high temperature region, we give an asymptotic expansion for the expected value of some genereral polynomial of the overlap of the system when the size N grows to infinity. Some of the coefficients obtained are shown to be vanishing, while the procedure to get the nontrivial ones has to be performed by a computer program, due to the great amount of computation involved.
Grants:	Ministerio de Educación y Ciencia BFM2000-0009 Ministerio de Educación y Ciencia BFM2000-0607 Ministerio de Educación y Ciencia HF2000-0002
Rights:	Tots els drets reservats.
Language:	Anglès
Series:	Progress in Probability ; 58
Document:	Capítol de llibre ; recerca ; Versió acceptada per publicar
Subject:	Sherrington-Kirkpatrick model ; Overlap ; Cavity method
Published in:	Seminar on Stochastic Analysis, Random Fields and Applications IV, 2004, p. 21-43, ISBN 978-3-0348-7943-9

DOI: 10.1007/978-3-0348-7943-9_2

Postprint 26 p, 353.6 KB

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