Approximation of free convolutions by free infinitely divisible laws
G.P. Chistyakov, F. G\"otze
TL;DR
This paper develops bounds for approximating n-fold free convolutions of probability measures using free infinitely divisible laws, enhancing understanding of their approximation accuracy.
Contribution
It introduces a method based on subordinating functions to quantify the minimal error in such approximations.
Findings
Established bounds for approximation errors
Applied subordinating functions to free convolutions
Improved understanding of free infinite divisibility
Abstract
Based on the~method of subordinating functions we prove bounds for the minimal error of approximations of -fold convolutions of probability measures by free infinitely divisible probability measures.
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Taxonomy
TopicsMathematical Approximation and Integration · Mathematical Analysis and Transform Methods · Advanced Numerical Analysis Techniques