Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Barra, L. Sanctis (2006)
Stability properties and probability distributions of multi-overlaps in dilute spin glassesJournal of Statistical Mechanics: Theory and Experiment, 2007
S. Ghirlanda, F. Guerra (1998)
General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricityJournal of Physics A, 31
Anton Bovier, P. Picco (1997)
Mathematical Aspects of Spin Glasses and Neural Networks
M. Talagrand (2003)
Spin glasses : a challenge for mathematicians : cavity and mean field models
F. Guerra (1996)
ABOUT THE OVERLAP DISTRIBUTION IN MEAN FIELD SPIN GLASS MODELSInternational Journal of Modern Physics B, 10
F. Guerra, F. Toninelli (2003)
The High Temperature Region of the Viana–Bray Diluted Spin Glass ModelJournal of Statistical Physics, 115
A. Agostini, A. Barra, L. Sanctis (2006)
Positive-overlap transition and critical exponents in mean field spin glassesJournal of Statistical Mechanics: Theory and Experiment, 2006
M. Aizenman, P. Contucci (1997)
On the Stability of the Quenched State in Mean-Field Spin-Glass ModelsJournal of Statistical Physics, 92
M. Talagrand (2003)
Spin Glasses: A Challenge for Mathematicians
Anton Bovier (2006)
Statistical Mechanics of Disordered Systems: A Mathematical Perspective
L. Sanctis (2004)
Random Multi-Overlap Structures and Cavity Fields in Diluted Spin GlassesJournal of Statistical Physics, 117
M. Talagrand (1998)
The Sherrington–Kirkpatrick model: a challenge for mathematiciansProbability Theory and Related Fields, 110
M. Mézard, G. Parisi, M. Virasoro, D. Thouless (1987)
Spin Glass Theory and Beyond
Anton Bovier (2006)
Statistical Mechanics of Disordered Systems
S. Franz, M. Leone, F. Toninelli (2003)
Replica bounds for diluted non-Poissonian spin systemsJournal of Physics A, 36
G. Parisi (1998)
On the probabilistic formulation of the replica approach to spin glassesarXiv: Disordered Systems and Neural Networks
Anton Bovier, V. Gayrard (1997)
HOPFIELD MODELS AS GENERALIZED RANDOM MEAN FIELD MODELS
P. Demp (2001)
A mathematical perspectiveClinics in Podiatric Medicine and Surgery, 18
M. Mézard, A. Montanari (2005)
Reconstruction on Trees and Spin Glass TransitionJournal of Statistical Physics, 124
Marc Mézard, G. Parisi, Giorgio Parisi, R. Zecchina, R. Zecchina (2002)
Analytic and Algorithmic Solution of Random Satisfiability ProblemsScience, 297
S. Klein, Joan Petersilia, Susan Turner (1990)
Race and imprisonment decisions in California.Science, 247 4944
[We provide a systematic treatment of self-averaging identities, whose validity is proven in integral average, for dilute spin glasses. The method is quite general, and as a special case recovers the Ghirlanda—Guerra identities, which are therefore proven, together with their extension, to be valid in dilute spin glasses. We focus on dilute spin glasses, but the results hold in all models enjoying stability with respect to the perturbations we introduce; although such a stability is believed to hold for several models, we do not classify them here.]
Published: Dec 14, 2009
Keywords: 82B44; 82B20; Diluted spin glasses; Ghirlanda—Guerra; self-averaging
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.