Dimension Theory of Hyperbolic Flows

• Κύριος συγγραφέας: Barreira, Luís (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Heidelberg : Springer International Publishing : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.; Analysis.

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...

Πίνακας περιεχομένων:

• 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.