Thermodynamic Formalism and Applications to Dimension Theory

von Luis Barreira

300 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Progress in Mathematics
• Themen: Lexika Forschung und Information, allgemein Informationstheorie Kybernetik und Systemtheorie
• ISBN: 9783034803366
• Sprache: Englisch
• Erscheinungsdatum: 27.11.2013
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Basel