Dimension and Recurrence in Hyperbolic Dynamics

• Κύριος συγγραφέας: Barreira, Luis (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2008.
• Σειρά: Progress in Mathematics ; 272
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Manifolds (Mathematics).; Complex manifolds.; Dynamical Systems and Ergodic Theory.; Manifolds and Cell Complexes (incl. Diff.Topology).; Analysis.

The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimensi...

Πίνακας περιεχομένων:

• Basic Notions
• Basic Notions
• Dimension Theory
• Dimension Theory and Thermodynamic Formalism
• Repellers and Hyperbolic Sets
• Measures of Maximal Dimension
• Multifractal Analysis: Core Theory
• Multifractal Analysis of Equilibrium Measures
• General Concept of Multifractal Analysis
• Dimension of Irregular Sets
• Variational Principles in Multifractal Analysis
• Multifractal Analysis: Further Developments
• Multidimensional Spectra and Number Theory
• Multifractal Rigidity
• Hyperbolic Sets: Past and Future
• Hyperbolicity and Recurrence
• Pointwise Dimension for Hyperbolic Dynamics
• Product Structure of Hyperbolic Measures
• Quantitative Recurrence and Dimension Theory.