On entropies and complexity for amenable actions groups

We consider a definition of entropy for discrete amenable action groups and extend the equality between enreopy and dimension for amenable groups. This last result was proved by Simpson for the special case of Z^d-actions

Detalhes bibliográficos
Autores: Meson, Alejandro Mario, Vericat, Fernando
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/93831
Acesso em linha:http://hdl.handle.net/11336/93831
Access Level:acceso abierto
Palavra-chave:ENTROPY
COMPLEXITY
AMENABLE ACTION GROUPS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We consider a definition of entropy for discrete amenable action groups and extend the equality between enreopy and dimension for amenable groups. This last result was proved by Simpson for the special case of Z^d-actions