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arXiv · 2307.10844

Central limit measure for V-monotone independence

Adrian Dacko
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Abstract

We study the central limit distribution $\mu$ for V-monotone independence. Using its Cauchy--Stieltjes transform, we prove that $\mu$ is absolutely continuous with respect to the Lebesgue measure on $\mathbb{R}$ and we give its density $\rho$ in an implicit form. We present a computer generated graph of $\rho$.

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Adrian Dacko. 2023-07-20. Central limit measure for V-monotone independence. https://arxiv.org/abs/2307.10844

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