Higher Order Expansions for the Overlap of the SK Model-Reference-Cited by-同舟云学术

Higher Order Expansions for the Overlap of the SK Model

Published:2004 Issue: Volume: Page:21-43
ISSN:
Container-title:Seminar on Stochastic Analysis, Random Fields and Applications IV
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Author:

Bardina Xavier,Márquez-Carreras David,Rovira Carles,Tindel Samy

Publisher

Birkhäuser Basel

Link

http://link.springer.com/content/pdf/10.1007/978-3-0348-7943-9_2.pdf

Reference9 articles.

1. M. Aizenman, J. Lebowitz and D. Ruelle, Some rigorous results on the Sherrington-Kirkpatrick spin glass model, Comm. Math. Phys., 112 (1) (1987), 3–20.

2. F. Comets and J. Neveu, The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: the high temperature case, Comm. Math. Phys., 166 (3) (1995), 549–564.

3. F. Guerra and F. Toninelli, Central limit theorem for fluctuations in the high temperature region of the Sherrington-Kirkpatrick spin glass model, J. Math. Phys. 43 (2002), 6224–6237.

4. M. Mézard, G. Parisi and M.A. Virasoro, Spin Glass Theory and Beyond, World Scientific Lecture Notes in Physics, 9, World Scientific Publishing Co., Inc., Teaneck, NJ, 1987.

5. L. Pastur and M. Shcherbina, Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model, J. Statist. Phys., 62 (1991), 1–19.

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