Thermodynamic formalism and applications to dimension theory
 Author/Creator
 Barreira, Luis, 1968
 Language
 English.
 Imprint
 Basel : Birkhäuser, c2011.
 Physical description
 xii, 297 p. : ill. ; 24 cm.
 Series
 Progress in mathematics (Boston, Mass.) v. 294.
Access
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 281293) and index.
 Contents

 Preface. 1 Introduction. I Classical Thermodynamic Formalism. 2 Thermodynamic Formalism: Basic Notions. 3 The Case of Symbolic Dynamics. II Nonadditive Thermodynamic Formalism. 4 Nonadditive Thermodynamic Formalism. 5 Dimension Estimates for Repellers. 6 Dimension Estimates for Hyperbolic Sets. III Subadditive Thermodynamic Formalism. 7 Asymptotically Subadditive Sequences. 8 Limit Sets of Geometric Constructions. 9 Entropy Spectra. IV Almost Additive Thermodynamic Formalism. 10 Almost Additive Sequences. 11 Nonconformal Repellers. 12 Multifractal Analysis. Bibliography.
 (source: Nielsen Book Data)
 Publisher's Summary
 This selfcontained 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Luis Barreira.
 Series
 Progress in mathematics ; v. 294
 ISBN
 9783034802055
 3034802056
 9783034802062
 3034802064