Free probability for pairs of faces. II: \(2\)-variables bi-free partial \(R\)-transform and systems with rank \(\leq1\) commutation
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Publication:5963206
DOI10.1214/14-AIHP623zbMath1354.46061arXiv1308.2035MaRDI QIDQ5963206
Publication date: 4 March 2016
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.2035
Free probability and free operator algebras (46L54) Subnormal operators, hyponormal operators, etc. (47B20)
Related Items (18)
Free probability for pairs of faces. III: 2-variables bi-free partial \(S\)- and \(T\)-transforms ⋮ Conditionally bi-free independence for pairs of faces ⋮ Limit theorems in bi-free probability theory ⋮ Analytic aspects of the bi-free partial \(R\)-transform ⋮ Principal functions for bi-free central limit distributions ⋮ A combinatorial approach to the opposite bi-free partial S-transform ⋮ Analytic subordination for bi-free convolution ⋮ On operator-valued bi-free distributions ⋮ Harmonic analysis for the bi-free partial \(S\)-transform ⋮ The Bi-free Extension of Free Probability ⋮ An alternating moment condition for bi-freeness ⋮ Free probability for pairs of faces. IV: Bi-free extremes in the plane ⋮ Fock space associated to Coxeter groups of type B ⋮ Bi-monotonic independence for pairs of algebras ⋮ On bi-free multiplicative convolution ⋮ Compound bi-free Poisson distributions ⋮ Categorial independence and Lévy processes ⋮ Integrability-preserving regularizations of Laplacian Growth
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