One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61

We consider one-parameter families of measure-theoretic and topological entropies associated with dynamical systems. These families are such that, for a particular parameter value, well stablished quantities in Ergodic Theory are recovered. Concerning the family of measure-theoretic entropies, which...

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Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Publicacion seriada
Lenguaje:Inglés
Publicado: 1997
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/171049
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-171049
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spelling I19-R120-10915-1710492024-10-02T20:11:27Z http://sedici.unlp.edu.ar/handle/10915/171049 One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61 Mesón, Alejandro Mario Vericat, Fernando 1997 2024-10-02T16:51:19Z en Matemática We consider one-parameter families of measure-theoretic and topological entropies associated with dynamical systems. These families are such that, for a particular parameter value, well stablished quantities in Ergodic Theory are recovered. Concerning the family of measure-theoretic entropies, which was introduced by the authors in a previous work, we review the definition and some of its properties, particularly the isomorphism theorems, and also present new results and perform calculations for some particular dynamical systems. With respect to the topological entropies two families, which are shown to be equivalent for a set of values of their parameter, are defined and their properties, such as the topological invariance, studied. We also outline the relationship between the members of both, the topological and the measuretheoretic, families. Finally, within the same spirit, we introduce families of topological pressures. Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
Mesón, Alejandro Mario
Vericat, Fernando
One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
topic_facet Matemática
description We consider one-parameter families of measure-theoretic and topological entropies associated with dynamical systems. These families are such that, for a particular parameter value, well stablished quantities in Ergodic Theory are recovered. Concerning the family of measure-theoretic entropies, which was introduced by the authors in a previous work, we review the definition and some of its properties, particularly the isomorphism theorems, and also present new results and perform calculations for some particular dynamical systems. With respect to the topological entropies two families, which are shown to be equivalent for a set of values of their parameter, are defined and their properties, such as the topological invariance, studied. We also outline the relationship between the members of both, the topological and the measuretheoretic, families. Finally, within the same spirit, we introduce families of topological pressures.
format Publicacion seriada
Publicacion seriada
author Mesón, Alejandro Mario
Vericat, Fernando
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_sort Mesón, Alejandro Mario
title One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
title_short One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
title_full One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
title_fullStr One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
title_full_unstemmed One-parameter families of measure-theoretic and topological entropies : Notas de Matemática, 61
title_sort one-parameter families of measure-theoretic and topological entropies : notas de matemática, 61
publishDate 1997
url http://sedici.unlp.edu.ar/handle/10915/171049
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