Dimension Theory of Hyperbolic Flows

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...

Full description

Bibliographic Details
Main Author: Barreira, Luís
Format: eBook
Language:English
Published: Cham Springer International Publishing 2013, 2013
Edition:1st ed. 2013
Series:Springer Monographs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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