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Thermodynamic Formalism and Applications to Dimension Theory

This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Barreira, Luis (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Progress in Mathematics, 294
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario:This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.
Descripción Física:XII, 300 p. online resource.
ISBN:9783034802062
ISSN:2296-505X ;