An almost sure large deviation principle for the Hopfield model
نویسندگان
چکیده
منابع مشابه
An Almost Sure Large Deviation Principle for the Hopfield Model
We prove a large deviation principle for the finite dimensional marginals of the Gibbs distribution of the macroscopic ‘overlap’-parameters in the Hopfield model in the case where the number of random ‘patterns’, M , as a function of the system size N satisfies lim supM(N)/N = 0. In this case the rate function is independent of the disorder for almost all realizations of the patterns.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1996
ISSN: 0091-1798
DOI: 10.1214/aop/1065725188