Distribution for nonsymmetric V-monotone position operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914411105484800 |
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| author | Dacko, Adrian Oussi, Lahcen |
| author_facet | Dacko, Adrian Oussi, Lahcen |
| contents | We investigate the vacuum distribution of a family of partial sums of nonsymmetric position operators, depending on a real parameter $λ$, 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 $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19842 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distribution for nonsymmetric V-monotone position operators Dacko, Adrian Oussi, Lahcen Functional Analysis Combinatorics 2020 Mathematics Subject Classification: Primary 46L53, 60F05, Secondary 05A18 We investigate the vacuum distribution of a family of partial sums of nonsymmetric position operators, depending on a real parameter $λ$, 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 $λ$. |
| title | Distribution for nonsymmetric V-monotone position operators |
| topic | Functional Analysis Combinatorics 2020 Mathematics Subject Classification: Primary 46L53, 60F05, Secondary 05A18 |
| url | https://arxiv.org/abs/2603.19842 |