Distribution of eigenvalues of ensembles of asymmetrically diluted Hopfield matrices

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Published under licence by IOP Publishing Ltd
, , Citation D A Stariolo et al 1996 J. Phys. A: Math. Gen. 29 4733 DOI 10.1088/0305-4470/29/15/035

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1 Centro Brasileiro de Pesquisas Físicas/CNPq, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil

Dates

  1. Received 6 December 1996

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0305-4470/29/15/4733

Abstract

Using Grassmann variables and an analogy with two-dimensional electrostatics, we obtain the average eigenvalue distribution of ensembles of asymmetrically diluted Hopfield matrices in the limit . We found that in the limit of strong dilution the distribution is uniform in a circle in the complex plane.

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