Artículo
Multiple recurrence and hypercyclicity
Fecha de publicación:
12/2022
Editorial:
Matematisk Inst
Revista:
Mathematica Scandinavica
ISSN:
0025-5521
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
hypercyclic operator
,
multiple recurrence
,
frequent hypercyclic
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos(CIFASIS)
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Citación
Cardeccia, Rodrigo Alejandro; Muro, Luis Santiago Miguel; Multiple recurrence and hypercyclicity; Matematisk Inst; Mathematica Scandinavica; 128; 3; 12-2022; 589-610
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