Thermodynamic Formalism and Applications to Dimension Theory

By:

Luis Barreira

Format:

Hardback

Series:

Progress in Mathematics

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Description

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.

Release date NZ

August 24th, 2011

Author

Luis Barreira

Audience

Professional & Vocational

Illustrations

XII, 300 p.

Pages

300

Series

Progress in Mathematics

Dimensions

155x235x23

ISBN-13

9783034802055

Product ID

10834234

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