Thermodynamic Formalism and Applications to Dimension Theory (Progress in Mathematics Book 294) 2011th Edition by Luis Barreira (PDF)

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    Ebook Info

    • Published: 2011
    • Number of pages: 312 pages
    • Format: PDF
    • File Size: 2.91 MB
    • Authors: Luis Barreira

    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.

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