On Transitivities for Skew Products
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911545286459392 |
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| author | Adhikary, Nayan Nagar, Anima |
| author_facet | Adhikary, Nayan Nagar, Anima |
| contents | The dual concepts of `universality' and `hypercyclicity' are better understood and studied as `topological transitivity'. In this article we consider transitivity properties of skew products, essentially with non-compact fibers. We study the `Universality Conditions' and `Hypercyclicity Criterion' associated with the dynamical properties of transitivity, weakly mixing and mixing for these skew products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25069 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Transitivities for Skew Products Adhikary, Nayan Nagar, Anima Dynamical Systems Functional Analysis 37B05, 47A16 The dual concepts of `universality' and `hypercyclicity' are better understood and studied as `topological transitivity'. In this article we consider transitivity properties of skew products, essentially with non-compact fibers. We study the `Universality Conditions' and `Hypercyclicity Criterion' associated with the dynamical properties of transitivity, weakly mixing and mixing for these skew products. |
| title | On Transitivities for Skew Products |
| topic | Dynamical Systems Functional Analysis 37B05, 47A16 |
| url | https://arxiv.org/abs/2603.25069 |