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Random matrix — Wikipedia (en)

Source
Wikipedia (en)
Original
https://en.wikipedia.org/wiki/Random_matrix
License (as archived)
CC-BY-SA-4.0
Archived
2026-10-07T11:25:23.854Z
SHA-256 of the archived text
57ef80ba2677224e09f8a79c1678adc524e43bea5ca57d15dc93f1d3047a827a
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https://metraipolis.com/documento/dc_1471cdc8dccd

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Random matrix — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Random_matrix (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_1471cdc8dccd (Metraipolis archive dc_1471cdc8dccd, sha256 57ef80ba2677224e09f8a79c1678adc524e43bea5ca57d15dc93f1d3047a827a)
BibTeX
@misc{dc1471cdc8dccd,
  title = {Random matrix — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Random_matrix},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_1471cdc8dccd; sha256 57ef80ba2677224e09f8a79c1678adc524e43bea5ca57d15dc93f1d3047a827a},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Random_matrix. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries are sampled randomly from a probability distribution. Random matrix theory (RMT) is the study of properties of random matrices, often as they become large. RMT provides techniques like mean-field theory, diagrammatic methods, the cavity method, or the replica method to compute quantities like traces, spectral densities, or scalar products between eigenvectors. Many physical phenomena, such as the spectrum of nuclei of heavy atoms, the thermal conductivity of a lattice, or the emergence of quantum chaos, can be modeled mathematically as problems concerning large, random matrices.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Probability theory»).
Fonte: Wikipedia in inglese, voce «Random matrix» — https://en.wikipedia.org/wiki/Random_matrix
Wikidata Q176604 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q176604
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Random_matrix?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1378391057, consultata il 2026-10-07T11:16:06.690Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 742a85d3c8e2184decfa7d4632f1baf5896defae475d6c651d9842b5097f858e