Characterizations of Type-III Bernoulli Scheme
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866911300958814208 |
|---|---|
| author | Zhou, Tianyi |
| author_facet | Zhou, Tianyi |
| contents | In this paper, we will prove alternate conditions for a type-$III$ Bernoulli scheme to be of type-$III_0$, type-$III_λ$ and type-$III_1$, and then conclude an alternate definition of the asymptotic ratio set of a type-$III$ ITPFI factor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of Type-III Bernoulli Scheme Zhou, Tianyi Operator Algebras Dynamical Systems In this paper, we will prove alternate conditions for a type-$III$ Bernoulli scheme to be of type-$III_0$, type-$III_λ$ and type-$III_1$, and then conclude an alternate definition of the asymptotic ratio set of a type-$III$ ITPFI factor. |
| title | Characterizations of Type-III Bernoulli Scheme |
| topic | Operator Algebras Dynamical Systems |
| url | https://arxiv.org/abs/2503.10807 |