Subordination methods for free deconvolution
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولAnalytic Subordination Consequences of Free Markovianity
In [4], under some easy to remove genericity assumptions, we proved the analytic subordination of the Cauchy transforms of distributions GμX+Y and GμX for a pair of freely independent self-adjoint random variables X, Y . We used this to obtain inequalities among p-norms of densities of distributions, free entropies and Riesz energies. This was followed by P.Biane’s discovery [1] that subordinat...
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Let k be a positive integer and let Dcpkq denote the space of joint distributions for k-tuples of selfadjoint elements in C -probability space. The paper studies the concept of “subordination distribution of μ ` ν with respect to ν” for μ, ν P Dcpkq, where ` is the operation of free additive convolution on Dcpkq. The main tools used in this study are combinatorial properties of R-transforms for...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2020
ISSN: 0246-0203
DOI: 10.1214/20-aihp1050