The atoms of the free multiplicative convolution of two probability distributions
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Publication:1402351
DOI10.1007/s00020-002-1145-4zbMath1028.46095OpenAlexW2039898278MaRDI QIDQ1402351
Publication date: 27 August 2003
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-002-1145-4
Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54)
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On regularity for measures in multiplicative free convolution semigroups ⋮ Tree convolution for probability distributions with unbounded support ⋮ Regularity for free multiplicative convolution on the unit circle ⋮ Superconvergence and regularity of densities in free probability ⋮ Universality properties of Gelfand-Tsetlin patterns ⋮ Universality of free random variables: atoms for non-commutative rational functions ⋮ Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution ⋮ The arithmetic of distributions in free probability theory ⋮ Limit theorems in free probability theory. I ⋮ Remarks on absolute continuity in the context of free probability and random matrices ⋮ Homomorphisms relative to additive convolutions and max-convolutions: Free, boolean and classical cases
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