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Distribution of Eigenvalues of Ensembles of Asymmetrically Diluted Hopfield Matrices

D. A. Stariolo·E. M. F. Curado·F. A. Tamarit
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Abstract

Using Grassmann variables and an analogy with two dimensional electrostatics, we obtain the average eigenvalue distribution $ρ(ω)$ of ensembles of $N \times N$ asymmetrically diluted Hopfield matrices in the limit $N \rightarrow \infty$. We found that in the limit of strong dilution the distribution is uniform in a circle in the complex plane.

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D. A. Stariolo, E. M. F. Curado, F. A. Tamarit. 1995-01-17. Distribution of Eigenvalues of Ensembles of Asymmetrically Diluted Hopfield Matrices. https://doi.org/10.1088/0305-4470%2F29%2F15%2F035

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