Geodesic
Approximation of free convolutions by free infinitely divisible laws
Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 4, pp. 806-838

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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. 
@article{TVP_2021_66_4_a9,
     author = {G. P. Chistyakov and F. G\"otze},
     title = {Approximation of free convolutions by free infinitely divisible laws},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {806--838},
     publisher = {mathdoc},
     volume = {66},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2021_66_4_a9/}
}
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G. P. Chistyakov; F. Götze. Approximation of free convolutions by free infinitely divisible laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 4, pp. 806-838. http://geodesic.mathdoc.fr/item/TVP_2021_66_4_a9/