ENGLISH

Thermodynamic formalism and applications to dimension theory

By Luis Barreira (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2011
ISBN
9783034802062, 3034802064
DOI
10.1007/978-3-0348-0206-2
Language
english
Format
PDF
Filesize
3 MB (3484786 bytes)
Series
Progress in Mathematics 294
Edition
1
Pages
300\310
Library
usenet tech
Time added
2013-03-30 20:00:00
Dynamical Systems and Ergodic Theory

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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