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arXiv:1011.5686 [math.PR]AbstractReferencesReviewsResources

A quenched large deviation principle and a Parisi formula for a Perceptron version of the GREM

E. Bolthausen, N. Kistler

Published 2010-11-25Version 1

We introduce a perceptron version of the Generalized Random Energy Model, and prove a quenched Sanov type large deviation principle for the empirical distribution of the random energies. The dual of the rate function has a representation through a variational formula which is closely related to the Parisi variational formula for the SK-model.

Comments: Dedicated to Juergen Gaertner on the occasion of his 60th birthday
Categories: math.PR
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