On concentration properties of disordered Hamiltonians
We present an elementary approach to concentration of disordered Hamiltonians. Assuming differentiability of the limiting free energy F with respect to the inverse temperature \beta , we show that the Hamiltonian concentrates around the energy level F'(\beta ) under the free energy and Gibbs av...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2018-04, Vol.146 (4), p.1807-1815 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We present an elementary approach to concentration of disordered Hamiltonians. Assuming differentiability of the limiting free energy F with respect to the inverse temperature \beta , we show that the Hamiltonian concentrates around the energy level F'(\beta ) under the free energy and Gibbs average. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/13864 |