Some recent rigorous results in the theory of phase transitions and critical phenomena
Jürg Fröhlich, Thomas Spencer (1981-1982)
Séminaire Bourbaki
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Jürg Fröhlich, Thomas Spencer (1981-1982)
Séminaire Bourbaki
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Pierluigi Contucci, Francesco Unguendoli (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a finite dimensional spin-glass model we prove low temperature local order i.e. the property of concentration of the overlap distribution close to the value 1. The theorem hold for both local observables and for products of observables at arbitrary mutual distance: when the Hamiltonian includes the Edwards-Anderson interaction we prove bond local order, when it includes the random-field interaction we prove site local order.
Alan D. Sokal (1982)
Annales de l'I.H.P. Physique théorique
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Corrigan, E.
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