Convergence of the barycentre of measures from Fuchsian action groups

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 mea...

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
Ergodic convergence
Empirical measures
Barycentres
Fuchsian groups
Folner sequences
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101001
https://ri.conicet.gov.ar/11336/23511
http://www.mathem.pub.ro/proc/bsgp-20/K20-me.pdf
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-101001
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ergodic convergence
Empirical measures
Barycentres
Fuchsian groups
Folner sequences
spellingShingle Matemática
Ergodic convergence
Empirical measures
Barycentres
Fuchsian groups
Folner sequences
Mesón, Alejandro Mario
Vericat, Fernando
Convergence of the barycentre of measures from Fuchsian action groups
topic_facet Matemática
Ergodic convergence
Empirical measures
Barycentres
Fuchsian groups
Folner sequences
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.
format Articulo
Articulo
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title Convergence of the barycentre of measures from Fuchsian action groups
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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/101001
https://ri.conicet.gov.ar/11336/23511
http://www.mathem.pub.ro/proc/bsgp-20/K20-me.pdf
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bdutipo_str Repositorios
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