TY  - BOOK
AU  - Barreira,Luis
ED  - SpringerLink (Online service)
TI  - Thermodynamic Formalism and Applications to Dimension Theory
T2  - Progress in Mathematics
SN  - 9783034802062
AV  - QA313 
U1  - 515.39 23
PY  - 2011///
CY  - Basel
PB  - Springer Basel
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Dynamical Systems and Ergodic Theory
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0348-0206-2
ER  -