On the dynamics of composition operators: supercyclicity, odometers and translations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918518673375232 |
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| author | Bayart, Frédéric Matheron, Etienne |
| author_facet | Bayart, Frédéric Matheron, Etienne |
| contents | We study the dynamical properties of composition operators acting on Banach spaces of measurable functions. In particular, we study in some detail the composition operators induced by odometers, which allows us to give a variety of new examples and counter-examples. We also get general statements about supercyclicity and frequent hypercyclicity of composition operators on $L\_p$-spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23736 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the dynamics of composition operators: supercyclicity, odometers and translations Bayart, Frédéric Matheron, Etienne Functional Analysis We study the dynamical properties of composition operators acting on Banach spaces of measurable functions. In particular, we study in some detail the composition operators induced by odometers, which allows us to give a variety of new examples and counter-examples. We also get general statements about supercyclicity and frequent hypercyclicity of composition operators on $L\_p$-spaces. |
| title | On the dynamics of composition operators: supercyclicity, odometers and translations |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2605.23736 |