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Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Thermodynamic Formalism and Applications to Dimension Theory ([Ebook]) / by Luis Barreira.
Author	Barreira, Luis
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer/Birkhäuser , 2011.
Physical Details	XII, 297 pages : 5 illus. : online resource.
Series	Progress in mathematics ; 294
ISBN	9783034802062
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0206-2
Links to Related Works	Subject References: Differentiable dynamical systems . Dynamical systems and ergodic theory . Mathematics . Authors: Barreira, Luis . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 515.39 . 515.48 .

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Thermodynamic Formalism and Applications to Dimension Theory

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