ENGLISH

Thermodynamic Formalism and Applications to Dimension Theory

Book information

Publisher
Birkhäuser Basel
Year
2011
ISBN
3034802056, 9783034802055
DOI
10.1007/978-3-0348-0206-2
Google Books ID
64ZDrvVopB8C
Language
english
Format
PDF
Filesize
3 MB (3051431 bytes)
Series
Progress in Mathematics 294
Edition
1
Pages
300\310
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

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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