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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1306.2242","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-10T16:18:23Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"747310e4130ab73d0af188f1027f6085c200404511033974620b96a857641821","abstract_canon_sha256":"f3c070407369f7599f88f1bd7f7069b461172d74bb4c0bf28708107263ac0955"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:48.289517Z","signature_b64":"WQrKcxd1ccEiIwUQQ5b5g568MqyJRoTiE93yvxEw77C4NTFbI9OuWXP6Q1m9aq0zlXriVuR+qq7G20AM5IZwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d2db67d7d4e83ab2beda2f20a3e4691685bcbebdead1bcfaa2e2a7896e56966","last_reissued_at":"2026-05-18T03:09:48.288604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:48.288604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $\\mathsf{A}$. 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