Convergence of the barycentre of measures from Fuchsian action groups
- Autores
- Mesón, Alejandro Mario; Vericat, Fernando
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces. A result of this nature was established by Austin from actions of amenable groups and defining the empirical measures from Følner sequences. Here we de- fine different sequences of barycentres, in particular we do not consider a topological structure on the group and Følner sequences.
Instituto de Física de Líquidos y Sistemas Biológicos - Materia
-
Matemática
Ergodic convergence
Empirical measures
Barycentres
Fuchsian groups
Folner sequences - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/101001
Ver los metadatos del registro completo
| id |
SEDICI_4ce33a087c9cb97732ecc869c271a1c4 |
|---|---|
| oai_identifier_str |
oai:sedici.unlp.edu.ar:10915/101001 |
| network_acronym_str |
SEDICI |
| repository_id_str |
1329 |
| network_name_str |
SEDICI (UNLP) |
| spelling |
Convergence of the barycentre of measures from Fuchsian action groupsMesón, Alejandro MarioVericat, FernandoMatemáticaErgodic convergenceEmpirical measuresBarycentresFuchsian groupsFolner sequencesWe prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces. A result of this nature was established by Austin from actions of amenable groups and defining the empirical measures from Følner sequences. Here we de- fine different sequences of barycentres, in particular we do not consider a topological structure on the group and Følner sequences.Instituto de Física de Líquidos y Sistemas Biológicos2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf9-15http://sedici.unlp.edu.ar/handle/10915/101001enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23511info:eu-repo/semantics/altIdentifier/url/http://www.mathem.pub.ro/proc/bsgp-20/K20-me.pdfinfo:eu-repo/semantics/altIdentifier/issn/1843-2654info:eu-repo/semantics/altIdentifier/hdl/11336/23511info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:11:50Zoai:sedici.unlp.edu.ar:10915/101001Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:11:51.191SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Convergence of the barycentre of measures from Fuchsian action groups |
| title |
Convergence of the barycentre of measures from Fuchsian action groups |
| spellingShingle |
Convergence of the barycentre of measures from Fuchsian action groups Mesón, Alejandro Mario Matemática Ergodic convergence Empirical measures Barycentres Fuchsian groups Folner sequences |
| title_short |
Convergence of the barycentre of measures from Fuchsian action groups |
| title_full |
Convergence of the barycentre of measures from Fuchsian action groups |
| title_fullStr |
Convergence of the barycentre of measures from Fuchsian action groups |
| title_full_unstemmed |
Convergence of the barycentre of measures from Fuchsian action groups |
| title_sort |
Convergence of the barycentre of measures from Fuchsian action groups |
| dc.creator.none.fl_str_mv |
Mesón, Alejandro Mario Vericat, Fernando |
| author |
Mesón, Alejandro Mario |
| author_facet |
Mesón, Alejandro Mario Vericat, Fernando |
| author_role |
author |
| author2 |
Vericat, Fernando |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Matemática Ergodic convergence Empirical measures Barycentres Fuchsian groups Folner sequences |
| topic |
Matemática Ergodic convergence Empirical measures Barycentres Fuchsian groups Folner sequences |
| dc.description.none.fl_txt_mv |
We prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces. A result of this nature was established by Austin from actions of amenable groups and defining the empirical measures from Følner sequences. Here we de- fine different sequences of barycentres, in particular we do not consider a topological structure on the group and Følner sequences. Instituto de Física de Líquidos y Sistemas Biológicos |
| description |
We prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces. A result of this nature was established by Austin from actions of amenable groups and defining the empirical measures from Følner sequences. Here we de- fine different sequences of barycentres, in particular we do not consider a topological structure on the group and Følner sequences. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013-07 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo 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://sedici.unlp.edu.ar/handle/10915/101001 |
| url |
http://sedici.unlp.edu.ar/handle/10915/101001 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23511 info:eu-repo/semantics/altIdentifier/url/http://www.mathem.pub.ro/proc/bsgp-20/K20-me.pdf info:eu-repo/semantics/altIdentifier/issn/1843-2654 info:eu-repo/semantics/altIdentifier/hdl/11336/23511 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| eu_rights_str_mv |
openAccess |
| rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| dc.format.none.fl_str_mv |
application/pdf 9-15 |
| dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
| reponame_str |
SEDICI (UNLP) |
| collection |
SEDICI (UNLP) |
| instname_str |
Universidad Nacional de La Plata |
| instacron_str |
UNLP |
| institution |
UNLP |
| repository.name.fl_str_mv |
SEDICI (UNLP) - Universidad Nacional de La Plata |
| repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
| _version_ |
1846064175773646848 |
| score |
13.22299 |