Multiple recurrence and hypercyclicity
We study multiply recurrent and hypercyclic operators as a special case of F-hypercyclicity, where F is the family of subsets of the natural numbers containing arbitrarily long arithmetic progressions. We prove several properties of hypercyclic multiply recurrent operators, we characterize those ope...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/218506 |
| Acceso en línea: | http://hdl.handle.net/11336/218506 |
| Access Level: | acceso abierto |
| Palabra clave: | hypercyclic operator multiple recurrence frequent hypercyclic https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We study multiply recurrent and hypercyclic operators as a special case of F-hypercyclicity, where F is the family of subsets of the natural numbers containing arbitrarily long arithmetic progressions. We prove several properties of hypercyclic multiply recurrent operators, we characterize those operators which are weakly mixing and multiply recurrent, and we show that there are operators that are multiply recurrent and hypercyclic but not weakly mixing. |
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