FREE EXPONENTIAL FAMILIES AS KERNEL FAMILIES
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Publication:3181798
DOI10.1515/dema-2009-0320zbMath1186.46066arXivmath/0601273OpenAlexW2963009812MaRDI QIDQ3181798
Publication date: 12 October 2009
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601273
Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54)
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Discrete dispersion models and their Tweedie asymptotics ⋮ Large deviations for spectral measures of some spiked matrices ⋮ Meixner class of orthogonal polynomials of a non-commutative monotone Lévy noise ⋮ A survey on the effects of free and Boolean convolutions on Cauchy-Stieltjes kernel families ⋮ On Cauchy-Stieltjes kernel families ⋮ Semigroups of distributions with linear Jacobi parameters ⋮ Characterization of quadratic Cauchy-Stieltjes kernel families based on the orthogonality of polynomials ⋮ The mean of the reciprocal in a Cauchy-Stieltjes family ⋮ On polynomials associated with Cauchy–Stieltjes kernel families ⋮ Explicit free multiplicative law of large numbers ⋮ Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality ⋮ Dispersion models for geometric sums ⋮ Dispersion models for extremes ⋮ BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES ⋮ Bochner-Pearson-type characterization of the free Meixner class ⋮ Variance function of Boolean additive convolution ⋮ One-sided Cauchy-Stieltjes kernel families ⋮ Meixner matrix ensembles ⋮ On some properties of Cauchy-Stieltjes kernel families ⋮ A characterization of the Marchenko-Pastur probability measure
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