On the convergence of spherical multiergodic averages for Markov action groups

Autores
Meson, Alejandro Mario; Vericat, Fernando
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this note we study the norm convergence of multiple ergodic spherical averages from actions of word hyperbolic groups or more generaly strongly Markov groups. The objective is the generalization of the results by Bufetov, Khristoforov and Klimenko and by Pollicott and Sharp. We use the techniques that Walsh introduced for proving the norm convergence of multiple ergodic averages from measure-preserving transformations and for integer valuated polynomials.
Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Materia
Multiergodic Averages
Markov Groups
Complaxity of Systems
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:11336/48221
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On the convergence of spherical multiergodic averages for Markov action groupsMeson, Alejandro MarioVericat, FernandoMultiergodic AveragesMarkov GroupsComplaxity of Systemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this note we study the norm convergence of multiple ergodic spherical averages from actions of word hyperbolic groups or more generaly strongly Markov groups. The objective is the generalization of the results by Bufetov, Khristoforov and Klimenko and by Pollicott and Sharp. We use the techniques that Walsh introduced for proving the norm convergence of multiple ergodic averages from measure-preserving transformations and for integer valuated polynomials.Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaGeometry Balkan Press2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/48221Meson, Alejandro Mario; Vericat, Fernando; On the convergence of spherical multiergodic averages for Markov action groups; Geometry Balkan Press; Applied Science; 17; 8-2015; 62-741454-5101CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.mathem.pub.ro/apps/v17/A17-me-980.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:38:57Zoai:ri.conicet.gov.ar:11336/48221instacron: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:34982025-11-12 09:38:58.088CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the convergence of spherical multiergodic averages for Markov action groups
title On the convergence of spherical multiergodic averages for Markov action groups
spellingShingle On the convergence of spherical multiergodic averages for Markov action groups
Meson, Alejandro Mario
Multiergodic Averages
Markov Groups
Complaxity of Systems
title_short On the convergence of spherical multiergodic averages for Markov action groups
title_full On the convergence of spherical multiergodic averages for Markov action groups
title_fullStr On the convergence of spherical multiergodic averages for Markov action groups
title_full_unstemmed On the convergence of spherical multiergodic averages for Markov action groups
title_sort On the convergence of spherical multiergodic averages for Markov action groups
dc.creator.none.fl_str_mv Meson, Alejandro Mario
Vericat, Fernando
author Meson, Alejandro Mario
author_facet Meson, Alejandro Mario
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Multiergodic Averages
Markov Groups
Complaxity of Systems
topic Multiergodic Averages
Markov Groups
Complaxity of Systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this note we study the norm convergence of multiple ergodic spherical averages from actions of word hyperbolic groups or more generaly strongly Markov groups. The objective is the generalization of the results by Bufetov, Khristoforov and Klimenko and by Pollicott and Sharp. We use the techniques that Walsh introduced for proving the norm convergence of multiple ergodic averages from measure-preserving transformations and for integer valuated polynomials.
Fil: Meson, Alejandro Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
description In this note we study the norm convergence of multiple ergodic spherical averages from actions of word hyperbolic groups or more generaly strongly Markov groups. The objective is the generalization of the results by Bufetov, Khristoforov and Klimenko and by Pollicott and Sharp. We use the techniques that Walsh introduced for proving the norm convergence of multiple ergodic averages from measure-preserving transformations and for integer valuated polynomials.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
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/11336/48221
Meson, Alejandro Mario; Vericat, Fernando; On the convergence of spherical multiergodic averages for Markov action groups; Geometry Balkan Press; Applied Science; 17; 8-2015; 62-74
1454-5101
CONICET Digital
CONICET
url http://hdl.handle.net/11336/48221
identifier_str_mv Meson, Alejandro Mario; Vericat, Fernando; On the convergence of spherical multiergodic averages for Markov action groups; Geometry Balkan Press; Applied Science; 17; 8-2015; 62-74
1454-5101
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://www.mathem.pub.ro/apps/v17/A17-me-980.pdf
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 Geometry Balkan Press
publisher.none.fl_str_mv Geometry Balkan Press
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 12.976206

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