NDLI: Spin glasses and Stein’s method

Content Provider	Springer Nature Link
Author	Chatterjee, Sourav
Copyright Year	2009
Abstract	We introduce some applications of Stein’s method in the high temperature analysis of spin glasses. Stein’s method allows the direct analysis of the Gibbs measure without having to eate a cavity. Another advantage is that it gives limit theorems with total variation error bounds, although the bounds can be suboptimal. A surprising byproduct of our analysis is a relatively transparent explanation of the Thouless–Anderson–Palmer system of equations. Along the way, we develop Stein’s method for mixtures of two Gaussian densities.
Ending Page	600
Page Count	34
Starting Page	567
File Format	PDF
ISSN	01788051
e-ISSN	14322064
Journal	Probability Theory and Related Fields
Issue Number	3
Volume Number	148
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-08-20
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	High temperature solution Stein’s method Theoretical, Mathematical and Computational Physics Interacting random processes; statistical mechanics type models; percolation theory Probability Theory and Stochastic Processes Sherrington–Kirkpatrick model Quantitative Finance Disordered systems (random Ising models, random SchrÃ¶dinger operators, etc.) Statistics for Business/Economics/Mathematical Finance/Insurance Operations Research/Decision Theory Mathematical Biology in General Spin glass TAP equations
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Analysis Statistics, Probability and Uncertainty

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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