ґ Universite catholique de Louvain ґ ґ Departement des Sciences economiques ` ґ ґ These presentee en vue de lobtention du grade de ґ docteur en sciences economiques Essays on economic dynamics under heterogeneity Anton O. Belyakov Composition du jury: Julio Davila (promoteur) Raouf Boucekkine Carmen Camacho Vladimir Veliov Mathieu Parenti Acknowledgements First of all I would like to thank my supervisors Raouf Boucekkine and Julio Davila. I'm grateful to other members of my doctoral jury: Mathieu Parenti,
... Potts-glass models of neural networks. ... FIXED POINTS OF PNN [pic] For any [pic], the only fixed points of a network constructed with the aid of two patterns [pic] and [pic] are these patterns themselves (and their negatives [pic]). [pic] Let us examine a case, when q = 2 and the vectors [pic] are without the signs [pic] (the signals are without the phase failure): [pic] As the neurons possess only one of the two values [pic] or [pic], formally this case is alike the Hopfield model. ...
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