Generalized Random Energy Model II |
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| Authors: | N K Jana B V Rao |
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| Institution: | (1) Department of Mathematics, Bijoy Krishna Girls’ College, Howrah and Stat-Math Unit, Indian Statistical Institute, Kolkata, India;(2) Stat-Math Unit, Indian Statistical Institute, Kolkata, India |
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| Abstract: | The formulae for the free energy, when the driving distributions in Generalized Random Energy Model (GREM) are of the form
 for γ ≥ 1 are derived. The large deviation technique allows the use of different distributions at different levels of the
GREM. As an illustration we consider, in detail, a two level GREM with exponential and Gaussian distributions. This simple
case itself leads to interesting phenomena. |
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| Keywords: | spin glasses large deviation principle free energy |
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