{"paper":{"title":"Distribution of Eigenvalues of Ensembles of Asymmetrically Diluted Hopfield Matrices","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Argentina), Brazil), D. A. Stariolo (Centro Brasileiro de Pesquisas Fisicas, E. M. F. Curado (Universidade de Brasilia, F. A. Tamarit (FaMAF, Universidad Nacional de Cordoba","submitted_at":"1995-01-17T23:51:45Z","abstract_excerpt":"Using Grassmann variables and an analogy with two dimensional electrostatics, we obtain the average eigenvalue distribution $\\rho(\\omega)$ 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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9501070","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}