The Kummer distribution in free probability, and its characterizations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909227894702080 |
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| author | Świeca, Marcin |
| author_facet | Świeca, Marcin |
| contents | We study the analogue of Kummer distribution in free probability. We prove characterization of free-Kummer and free Poisson distributions by freeness properties together with some assumptions about conditional moments. Our main tools are subordination of free multiplicative convolution and Boolean cumulants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13475 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Kummer distribution in free probability, and its characterizations Świeca, Marcin Operator Algebras We study the analogue of Kummer distribution in free probability. We prove characterization of free-Kummer and free Poisson distributions by freeness properties together with some assumptions about conditional moments. Our main tools are subordination of free multiplicative convolution and Boolean cumulants. |
| title | The Kummer distribution in free probability, and its characterizations |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2406.13475 |