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arXiv · 2603.19842

Distribution for nonsymmetric V-monotone position operators

Adrian Dacko·Lahcen Oussi
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Abstract

We investigate the vacuum distribution of a family of partial sums of nonsymmetric position operators, depending on a real parameter $\lambda$, and acting on the discrete Fock space in the framework of V-monotone independence. We analyze the combinatorics of the moments of this distribution, and using its Cauchy--Stieltjes transform, we determine its exact form, consisting of a unique atom and an absolutely continuous part. Finally, we present computer-generated graphs that illustrate the distribution for several values of the intensity parameter $\lambda$.

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Adrian Dacko, Lahcen Oussi. 2026-03-20. Distribution for nonsymmetric V-monotone position operators. https://arxiv.org/abs/2603.19842

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