{"paper":{"title":"Spectral Domain of Large Nonsymmetric Correlated Wishart Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Luis Benet, Vinayak","submitted_at":"2014-03-27T23:47:03Z","abstract_excerpt":"We study {the} complex eigenvalues of the Wishart model defined for nonsymmetric correlation matrices. The model is defined for two statistically equivalent but different Gaussian real matrices, as $\\mathsf{C}=\\mathsf{AB}^{t}/T$, where $\\mathsf{B}^{t}$ is the transpose of $\\mathsf{B}$ and both matrices $\\mathsf{A}$ and $\\mathsf{B}$ are of dimension $N\\times T$. We consider {\\it actual} correlations between the matrices so that on the ensemble average $\\mathsf{C}$ does not vanish. We derive a loop equation for the spectral density of $\\mathsf{C}$ in {the} large $N$ and $T$ limit where the ratio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7250","kind":"arxiv","version":2},"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"}