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cond-mat1995
Schrödinger operators generated by substitutions
Anton Bovier, J. -M. Ghez
Schrödinger operators with potentials generated by primitive substitutions are simple models for one dimensional quasi-crystals. We review recent results on their spectral properti…
cond-mat1995
The Retrieval Phase of the Hopfield Model: A Rigorous Analysis of the Overlap Distribution
Anton Bovier, Véronique Gayrard
Standard large deviation estimates or the use of the Hubbard-Stratonovich transformation reduce the analysis of the distribution of the overlap parameters essentially to that of an…
cond-mat1995
An almost sure large deviation principle for the Hopfield model
Anton Bovier, Véronique Gayrard
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…