Dimension Theory of Hyperbolic Flows

• Main Author: Barreira, Lus̕. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Heidelberg : Springer International Publishing : Imprint: Springer, 2013.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Differentiable dynamical systems.; Dynamical Systems and Ergodic Theory.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-319-00548-5

The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential...

Table of Contents:

• Introduction
• Suspension Flows
• Hyperbolic Flows
• Pressure and Dimension
• Dimension of Hyperbolic Sets
• Pointwise Dimension and Applications
• Suspensions over Symbolic Dynamics
• Multifractal Analysis of Hyperbolic Flows
• Entropy Spectra
• Multidimensional Spectra
• Dimension Spectra
• References
• Index.