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Cumulant-cumulant relations in free probability theory from Magnus' expansion

Subjects: Pure mathematics; Cumulant; Algebraic structure

  • Source: Foundations of Computational MathematicsFoundations of Computational Mathematics, 2022, 22 (3), pp.733-755. ⟨10.1007/s10208-021-09512-0⟩

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OUTLIERS IN THE SPECTRUM OF LARGE DEFORMED UNITARILY INVARIANT MODELS

Subjects: Statistics and Probability; Pure mathematics; 15B52, 46L54, 60B20

  • Source: Annals of ProbabilityAnnals of Probability, Institute of Mathematical Statistics, 2017, 45 (6A), pp.3571-3625.

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Analytic subordination for bi-free convolution

Subjects: Pure mathematics; 46L54; 010102 general mathematics

  • Source: Journal of Functional AnalysisJournal of Functional Analysis, 2018, 275 (4), pp.926-966. ⟨10.1016/j.jfa.2018.03.003⟩Journal of Functional Analysis, Elsevier, 2018, 275 (4), pp.926-966.

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Multidimensional limit theorems for homogeneous sums: a survey and a general transfer principle

Subjects: Statistics and Probability; Transfer principle; Pure mathematics

  • Source: ESAIM: Probability and StatisticsESAIM: Probability and Statistics, EDP Sciences, 2016, 20, pp.293-308. ⟨10.1051/ps/2016014⟩

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Spectral properties of polynomials in independent Wigner and deterministic matrices

Subjects: Polynomial; Pure mathematics; Probability (math.PR)

  • Source: Journal of Functional AnalysisJournal of Functional Analysis, Elsevier, 2017, 273 (12), pp.3901-3963. ⟨10.1016/j.jfa.2017.07.010⟩Journal of Functional Analysis, 2017, 273 (12),

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Free wreath product quantum groups : the monoidal category, approximation properties and free probability

Subjects: Pure mathematics; 010102 general mathematics; Monoidal category

  • Source: Journal of Functional AnalysisJournal of Functional Analysis, Elsevier, 2016, 270 (10), pp.3828-3883. ⟨10.1016/j.jfa.2015.12.017⟩

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