Norm convergence of nilpotent ergodic averages

Autores
Walsh, Miguel Nicolás
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.
Fil: Walsh, Miguel Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Ergodic averages
Ergodic theory
Furstenberg Conjecture
Bergelson-Leibman Conjecture
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/68387
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/68387
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Norm convergence of nilpotent ergodic averagesWalsh, Miguel NicolásErgodic averagesErgodic theoryFurstenberg ConjectureBergelson-Leibman Conjecturehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.Fil: Walsh, Miguel Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAnnal Mathematics2012-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/68387Walsh, Miguel Nicolás; Norm convergence of nilpotent ergodic averages; Annal Mathematics; Annals Of Mathematics; 175; 3; 5-2012; 1667-16880003-486XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://annals.math.princeton.edu/2012/175-3/p15info:eu-repo/semantics/altIdentifier/doi/10.4007/annals.2012.175.3.15info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.2922info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:23:44Zoai:ri.conicet.gov.ar:11336/68387instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:23:44.287CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Norm convergence of nilpotent ergodic averages
title Norm convergence of nilpotent ergodic averages
spellingShingle Norm convergence of nilpotent ergodic averages
Walsh, Miguel Nicolás
Ergodic averages
Ergodic theory
Furstenberg Conjecture
Bergelson-Leibman Conjecture
title_short Norm convergence of nilpotent ergodic averages
title_full Norm convergence of nilpotent ergodic averages
title_fullStr Norm convergence of nilpotent ergodic averages
title_full_unstemmed Norm convergence of nilpotent ergodic averages
title_sort Norm convergence of nilpotent ergodic averages
dc.creator.none.fl_str_mv Walsh, Miguel Nicolás
author Walsh, Miguel Nicolás
author_facet Walsh, Miguel Nicolás
author_role author
dc.subject.none.fl_str_mv Ergodic averages
Ergodic theory
Furstenberg Conjecture
Bergelson-Leibman Conjecture
topic Ergodic averages
Ergodic theory
Furstenberg Conjecture
Bergelson-Leibman Conjecture
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.
Fil: Walsh, Miguel Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.
publishDate 2012
dc.date.none.fl_str_mv 2012-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/68387
Walsh, Miguel Nicolás; Norm convergence of nilpotent ergodic averages; Annal Mathematics; Annals Of Mathematics; 175; 3; 5-2012; 1667-1688
0003-486X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68387
identifier_str_mv Walsh, Miguel Nicolás; Norm convergence of nilpotent ergodic averages; Annal Mathematics; Annals Of Mathematics; 175; 3; 5-2012; 1667-1688
0003-486X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://annals.math.princeton.edu/2012/175-3/p15
info:eu-repo/semantics/altIdentifier/doi/10.4007/annals.2012.175.3.15
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.2922
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Annal Mathematics
publisher.none.fl_str_mv Annal Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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