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Marchenko-Pastur Theorem and Bercovici-Pata bijections for heavy-tailed or localized vectors

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Publication:2863822
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zbMath1280.15018arXiv1204.5154MaRDI QIDQ2863822

Florent Benaych-Georges, Thierry Cabanal-Duvillard

Publication date: 4 December 2013

Full work available at URL: https://arxiv.org/abs/1204.5154


zbMATH Keywords

random matricesinfinitely divisible distributionsfree probabilityBercovici-Pata bijectionMarčenko-Pastur theorem


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Random matrices (algebraic aspects) (15B52)


Related Items (5)

The limiting distributions of large heavy Wigner and arbitrary random matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Random matrix models for datasets with fixed time horizons ⋮ Amalgamated free Lévy processes as limits of sample covariance matrices







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