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Title: Product recurrence for weighted backward shifts
Autores: Galán Céspedes, Víctor J.
Martínez-Jiménez, F.
Oprocha, P.
Peris, A.
Researchers (UNIBE): Galán Céspedes, Víctor J. 
Affiliations: Facultad de Ciencias Básicas y Tecnológicas 
Research area: Ciencias Físicas
Keywords: Backward shifts; Product recurrence; Transitivity; Chaos
Issue Date: 2015
Publisher: Natural Sciences Publishing
Source: Applied Mathematics & Information Sciences, 9(5), 2361-2365
Journal: Applied Mathematics and Information Sciences 
Volume: 9
Issue: 5
Start page: 2361
End page: 2365
We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an example of weighted shift that admits points which are recurrent and distal, but not product recurrent, in contrast with the dynamics on compact sets. An example of a product recurrent point with unbounded orbit is also provided.
DOI: 10.12785/amis/090518
Appears in Collections:Publicaciones de la Facultad de Ciencias Básicas y Tecnológicas

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