Conditional entropy for Amenable group actions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909600764133376 |
|---|---|
| author | Lian, Yuan Zhu, Bin |
| author_facet | Lian, Yuan Zhu, Bin |
| contents | Let G be an infinite discrete countable amenable group acting continuously on a Lebesgue space X. In this article, using partition and factor-space, the conditional entropy of the action G is defined. We introduction some properties of conditional entropy for amenable group actions and the corresponding decomposition theorem is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01839 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditional entropy for Amenable group actions Lian, Yuan Zhu, Bin Dynamical Systems Let G be an infinite discrete countable amenable group acting continuously on a Lebesgue space X. In this article, using partition and factor-space, the conditional entropy of the action G is defined. We introduction some properties of conditional entropy for amenable group actions and the corresponding decomposition theorem is obtained. |
| title | Conditional entropy for Amenable group actions |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2505.01839 |