{"paper":{"title":"Spectral density of a Wishart model for nonsymmetric Correlation Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Vinayak","submitted_at":"2013-06-10T16:18:23Z","abstract_excerpt":"The Wishart model for real symmetric correlation matrices is defined as $\\mathsf{W}=\\mathsf{AA}^{t}$, where matrix $\\mathsf{A}$ is usually a rectangular Gaussian random matrix and $\\mathsf{A}^{t}$ is the transpose of $\\mathsf{A}$. Analogously, for nonsymmetric correlation matrices, a model may be defined for two statistically equivalent but different matrices $\\mathsf{A}$ and $\\mathsf{B}$ as $\\mathsf{AB}^{t}$. The corresponding Wishart model, thus, is defined as $\\mathbf{C}=\\mathsf{AB}^{t}\\mathsf{BA}^{t}$. We study the spectral density of $\\mathbf{C}$ for the case when $\\mathsf{A}$ and $\\maths"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2242","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"}