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Factorization properties in \(d\)-dimensional spin glasses. Rigorous results and some perspectives - MaRDI portal

Factorization properties in \(d\)-dimensional spin glasses. Rigorous results and some perspectives (Q358677)

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scientific article; zbMATH DE number 6197017
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English
Factorization properties in \(d\)-dimensional spin glasses. Rigorous results and some perspectives
scientific article; zbMATH DE number 6197017

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    Factorization properties in \(d\)-dimensional spin glasses. Rigorous results and some perspectives (English)
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    9 August 2013
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    A major new development in the subject of mean-field spin glasses in strong stability implies ultrametricity. In the paper, the authors prove that \(d\)-dimensional Gaussian spin glass models are strongly stochastically stable, fulfill the Ghirlanda-Guerra identities in distribution and the ultrametricity property.
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    spin glass
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    stochastic stability
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    ultrametricity
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