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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 4, Pages 806–838
DOI: https://doi.org/10.4213/tvp5513 (Mi tvp5513) 		 
Approximation of free convolutions by free infinitely divisible laws

G. P. Chistyakov, F. Götze

Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
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DOI: https://doi.org/10.4213/tvp5513
Abstract: Based on the method of subordinating functions we prove bounds for the minimal error of approximations of $n$-fold convolutions of probability measures by free infinitely divisible probability measures.
Keywords: free random variables, Cauchy transforms, free convolutions, limit theorems.
Funding agency Grant number
Deutsche Forschungsgemeinschaft CRC 1283
This work was supported by CRC 1283.
Received: 23.06.2021
Accepted: 23.06.2021
English version:
Theory of Probability and its Applications, 2022, Volume 66, Issue 4, Pages 640–667
DOI: https://doi.org/10.1137/S0040585X97T990666
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. P. Chistyakov, F. Götze, “Approximation of free convolutions by free infinitely divisible laws”, Teor. Veroyatnost. i Primenen., 66:4 (2021), 806–838; Theory Probab. Appl., 66:4 (2022), 640–667
Citation in format AMSBIB
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\by G.~P.~Chistyakov, F.~G\"otze
\paper Approximation of free convolutions by free infinitely divisible laws
\jour Teor. Veroyatnost. i Primenen.
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\vol 66
\issue 4
\pages 806--838
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\transl
\jour Theory Probab. Appl.
\yr 2022
\vol 66
\issue 4
\pages 640--667
\crossref{https://doi.org/10.1137/S0040585X97T990666}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129736485}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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