BMT Independence
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913962823516160 |
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| author | Arizmendi, Octavio Mendoza, Saul Rogelio Vazquez-Becerra, Josué |
| author_facet | Arizmendi, Octavio Mendoza, Saul Rogelio Vazquez-Becerra, Josué |
| contents | We introduce the notion of BMT independence, allowing us to take arbitrary mixtures of boolean, monotone, and tensor independence and generalizing the notion of BM independence of Wysoczanski. Pair-wise independence relations are encoded through a directed graph, which in turn determines the way mixed moments must be computed. Corresponding Central and Poisson-Type Limit Theorems are provided along with an explicit construction to realize BMT independent random variables as bounded operators on certain Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04123 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | BMT Independence Arizmendi, Octavio Mendoza, Saul Rogelio Vazquez-Becerra, Josué Operator Algebras Probability 46L54 We introduce the notion of BMT independence, allowing us to take arbitrary mixtures of boolean, monotone, and tensor independence and generalizing the notion of BM independence of Wysoczanski. Pair-wise independence relations are encoded through a directed graph, which in turn determines the way mixed moments must be computed. Corresponding Central and Poisson-Type Limit Theorems are provided along with an explicit construction to realize BMT independent random variables as bounded operators on certain Hilbert space. |
| title | BMT Independence |
| topic | Operator Algebras Probability 46L54 |
| url | https://arxiv.org/abs/2309.04123 |