Square Entropy and Uniform n-to-1 Bernoulli Transformations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916769146339328 |
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| author | Mehdipour, Pouya Shaldehi, Somayeh Jangjooye |
| author_facet | Mehdipour, Pouya Shaldehi, Somayeh Jangjooye |
| contents | In this paper, we define the so-called square entropy and prove that n-to-1 full zip shift maps are intrinsically ergodic. Furthermore, we show that square entropy characterizes uniform n-to-1 transformations of $(m,l)$-Bernoulli type that are extended Bernoulli transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Square Entropy and Uniform n-to-1 Bernoulli Transformations Mehdipour, Pouya Shaldehi, Somayeh Jangjooye Dynamical Systems Mathematical Physics In this paper, we define the so-called square entropy and prove that n-to-1 full zip shift maps are intrinsically ergodic. Furthermore, we show that square entropy characterizes uniform n-to-1 transformations of $(m,l)$-Bernoulli type that are extended Bernoulli transformations. |
| title | Square Entropy and Uniform n-to-1 Bernoulli Transformations |
| topic | Dynamical Systems Mathematical Physics |
| url | https://arxiv.org/abs/2505.24647 |