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• W1969978468 abstract "Let k be a positive integer and let Dc(k) 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∈Dc(k), where ⊞ is the operation of free additive convolution on Dc(k). The main tools used in this study are combinatorial properties of R-transforms for joint distributions and a related operator model, with operators acting on the full Fock space. Multi-variable subordination turns out to have nice relations to a process of evolution towards ⊞-infinite divisibility on Dc(k) that was recently found by Belinschi and Nica (arXiv: 0711.3787). Most notably, one gets better insight into a connection which this process was known to have with free Brownian motion." @default.
• W1969978468 created "2016-06-24" @default.
• W1969978468 creator A5010822985 @default.
• W1969978468 date "2009-07-01" @default.
• W1969978468 modified "2023-09-27" @default.
• W1969978468 title "Multi-variable subordination distributions for free additive convolution" @default.
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• W1969978468 doi "https://doi.org/10.1016/j.jfa.2008.12.022" @default.
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