Central Limit Theorem for V-Monotone Independence

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2025年7月14日

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Adrian Dacko

摘要

We study the distribution $\mu $ $μ$ in the central limit theorem for V-monotone independence. Using its Cauchy–Stieltjes transform, we prove that $\mu $ $μ$ is absolutely continuouswith respect to the Lebesgue measure on the real line and we give its density $\rho $ $ρ$ in an implicit form. We present a computer-generated graph of $\rho $ $ρ$ .