Counting functions over periodic orbits of a skew-product map
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913947816296448 |
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| author | Gopinathan, Subith Seshadri, Bharath Krishna Sridharan, Shrihari |
| author_facet | Gopinathan, Subith Seshadri, Bharath Krishna Sridharan, Shrihari |
| contents | In this manuscript, we investigate some properties of certain counting functions, associated to the ergodic sums computed along the periodic orbits of the skew-product map, related to a finitely generated rational semigroup. To be precise, we obtain some comparability results for the above mentioned counting functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting functions over periodic orbits of a skew-product map Gopinathan, Subith Seshadri, Bharath Krishna Sridharan, Shrihari Dynamical Systems Number Theory 37A44, 37F10, 37F20, 11N45 In this manuscript, we investigate some properties of certain counting functions, associated to the ergodic sums computed along the periodic orbits of the skew-product map, related to a finitely generated rational semigroup. To be precise, we obtain some comparability results for the above mentioned counting functions. |
| title | Counting functions over periodic orbits of a skew-product map |
| topic | Dynamical Systems Number Theory 37A44, 37F10, 37F20, 11N45 |
| url | https://arxiv.org/abs/2505.05069 |