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On the accuracy of the normal approximation for the free energy in the Random Energy Model

   
@article{ECP2377,
	author = {Raphael Meiners and Anselm Reichenbachs},
	title = {On the accuracy of the normal approximation for the free energy in the Random Energy Model},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Random Energy Model; free energy;  moderate deviations; large deviations},
	abstract = {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.},
	pages = {no. 12, 1-11},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2377},    
        url = {http://ecp.ejpecp.org/article/view/2377}}