| Título: | On the accuracy of the normal approximation for the free energy in the Random Energy Model |
| Autores: |
Meiners, Raphael; Universität Münster Reichenbachs, Anselm; Ruhr-Universität Bochum |
| Fecha: | 2013-01-03 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Random Energy Model; free energy; moderate deviations; large deviations 60F10; 82B44 |
| Descripción: | In the present paper we consider the fluctuations of the free energy in the random energy model (REM) on a moderate deviation scale. We find that for high temperatures the normal approximation holds only in a narrow range of scalings away from the CLT. For scalings of higher order, probabilities of moderate deviations decay faster than exponentially. |
| Idioma: | Inglés |
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