Genericity of Homeomorphisms with Full Mean Hausdorff Dimension

It is well known that the presence of horseshoes leads to positive entropy. If our goal is to construct a continuous map with infinite entropy, we can consider an infinite sequence of horseshoes, ensuring an unbounded number of legs. Estimating the exact values of both the metric mean dimension and...

Full description

Autores:

Muentes Acevedo, Jeovanny de Jesus

Tipo de recurso:

Fecha de publicación:

2024

Institución:

Universidad Tecnológica de Bolívar

Repositorio:

Repositorio Institucional UTB

Idioma:

eng

OAI Identifier:

oai:repositorio.utb.edu.co:20.500.12585/12668

Acceso en línea:

https://hdl.handle.net/20.500.12585/12668

Palabra clave:

Mean dimension
Metric mean dimension
Mean Hausdorff dimension
Hausdorff dimension
Topological entropy
LEMB

Rights

restrictedAccess

License

http://purl.org/coar/access_right/c_16ec