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dc.contributor.author
Cardeccia, Rodrigo Alejandro  
dc.contributor.author
Muro, Luis Santiago Miguel  
dc.date.available
2023-11-22T16:18:46Z  
dc.date.issued
2022-12  
dc.identifier.citation
Cardeccia, Rodrigo Alejandro; Muro, Luis Santiago Miguel; Multiple recurrence and hypercyclicity; Matematisk Inst; Mathematica Scandinavica; 128; 3; 12-2022; 589-610  
dc.identifier.issn
0025-5521  
dc.identifier.uri
http://hdl.handle.net/11336/218506  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Matematisk Inst  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
hypercyclic operator  
dc.subject
multiple recurrence  
dc.subject
frequent hypercyclic  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Multiple recurrence and hypercyclicity  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-11-15T15:47:18Z  
dc.journal.volume
128  
dc.journal.number
3  
dc.journal.pagination
589-610  
dc.journal.pais
Suecia  
dc.description.fil
Fil: Cardeccia, Rodrigo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Muro, Luis Santiago Miguel. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Instituto de Matemática "Beppo Levi"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina  
dc.journal.title
Mathematica Scandinavica  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.mscand.dk/article/view/133256  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.7146/math.scand.a-133256  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2104.15033v2  

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