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dc.contributor.author
Cardeccia, Rodrigo Alejandro  
dc.contributor.author
Muro, Luis Santiago Miguel  
dc.date.available
2021-09-27T18:33:25Z  
dc.date.issued
2021-06  
dc.identifier.citation
Cardeccia, Rodrigo Alejandro; Muro, Luis Santiago Miguel; Orbits of homogeneous polynomials on Banach spaces; Cambridge University Press; Ergodic Theory And Dynamical Systems; 41; 6; 6-2021; 1627-1655  
dc.identifier.issn
0143-3857  
dc.identifier.uri
http://hdl.handle.net/11336/141629  
dc.description.abstract
We study the dynamics induced by homogeneous polynomials on Banach spaces. It is known that no homogeneous polynomial defined on a Banach space can have a dense orbit. We show a simple and natural example of a homogeneous polynomial with an orbit that is at the same time-dense (the orbit meets every ball of radius), weakly dense and such that is dense for every that either is unbounded or has 0 as an accumulation point. Moreover, we generalize the construction to arbitrary infinite-dimensional separable Banach spaces. To prove this, we study Julia sets of homogeneous polynomials on Banach spaces.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
HYPERCYCLIC OPERATORS  
dc.subject
JULIA SETS  
dc.subject
POLYNOMICAL DYNAMICS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Orbits of homogeneous polynomials on Banach spaces  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2021-09-07T18:40:48Z  
dc.journal.volume
41  
dc.journal.number
6  
dc.journal.pagination
1627-1655  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Cambridge  
dc.description.fil
Fil: Cardeccia, Rodrigo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Muro, Luis Santiago Miguel. 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
Ergodic Theory And Dynamical Systems  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/orbits-of-homogeneous-polynomials-on-banach-spaces/13760F4715E433F6390CE6D84F956E36  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/etds.2020.17  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1806.11543  

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