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arXiv · 1304.6544

The probability measure corresponding to 2-plane trees

Wojciech Mlotkowski·Karol A. Penson
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Abstract

We study the probability measure $\mu_{0}$ for which the moment sequence is $\binom{3n}{n}\frac{1}{n+1}$. We prove that $\mu_{0}$ is absolutely continuous, find the density function and prove that $\mu_{0}$ is infinitely divisible with respect to the additive free convolution.

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Wojciech Mlotkowski, Karol A. Penson. 2013-04-24. The probability measure corresponding to 2-plane trees. https://arxiv.org/abs/1304.6544

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