Thermodynamic Formalism and Applications to Dimension Theory / Progress in Mathematics Bd.294 (PDF)

Name: Thermodynamic Formalism and Applications to Dimension Theory / Progress in Mathematics Bd.294
Brand: Springer-Verlag GmbH
SKU: 37042911
Price: 98.99 EUR
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(Sprache: Englisch)

Autor: Luis Barreira

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Thermodynamic Formalism and Applications to Dimension Theory / Progress in Mathematics Bd.294, Luis Barreira

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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.

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Bibliographische Angaben

Autor: Luis Barreira
2011, 2011, 300 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3034802064
ISBN-13: 9783034802062
Erscheinungsdatum: 24.08.2011

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Englisch

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From the reviews:“This book gives a detailed account of the connection between two areas of dynamical systems, the thermodynamic formalism and dimension theory in dynamical systems. … The book is probably best read by someone already familiar with the basics of ergodic theory, dynamical systems, and the Hausdorff dimension … . the book gives the reader a good grounding in both thermodynamical formalism and applying the thermodynamic formalism to prove results in the dimension theory of dynamical systems.” (Thomas Michael Jordan, Mathematical Reviews, March, 2014)

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