Free Infinite Divisibility for Q-Gaussians
Michael Anshelevich, Serban Teodor Belinschi, Marek Bozejko, Franz, Lehner
TL;DR
This paper proves that q-Gaussian distributions are freely infinitely divisible for all q in the interval [0,1], expanding understanding of their mathematical properties within free probability theory.
Contribution
It establishes the free infinite divisibility of q-Gaussians for all q in [0,1], a significant extension of previous results.
Findings
q-Gaussians are freely infinitely divisible for all q in [0,1]
The result applies to the entire range of q between zero and one
Advances the theoretical understanding of q-Gaussian distributions in free probability
Abstract
We prove that the q-Gaussian distribution introduced by Bozejko and Speicher is freely infinitely divisible for all q between zero and one.
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