Dimension and Recurrence in Hyperbolic Dynamics: Progress in Mathematics, cartea 272
Autor Luis Barreiraen Limba Engleză Hardback – 17 iul 2008
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Specificații
ISBN-13: 9783764388812
ISBN-10: 3764388811
Pagini: 320
Ilustrații: XIV, 300 p.
Dimensiuni: 165 x 235 x 21 mm
Greutate: 0.66 kg
Ediția:2008
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Basel, Switzerland
ISBN-10: 3764388811
Pagini: 320
Ilustrații: XIV, 300 p.
Dimensiuni: 165 x 235 x 21 mm
Greutate: 0.66 kg
Ediția:2008
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
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.
Textul de pe ultima copertă
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, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book.
The text is self-contained and directed to researchers as well as graduate students that wish to have a global view of the theory together with a working knowledge of its main techniques. It will also be useful as as basis for graduate courses in dimension theory of dynamical systems, multifractal analysis, and pointwise dimension and recurrence in hyperbolic dynamics.
The text is self-contained and directed to researchers as well as graduate students that wish to have a global view of the theory together with a working knowledge of its main techniques. It will also be useful as as basis for graduate courses in dimension theory of dynamical systems, multifractal analysis, and pointwise dimension and recurrence in hyperbolic dynamics.
Caracteristici
Pragmatic introduction to the study of dimension and recurrence in hyperbolic dynamics, traveling firmly but also rigorously from the basics to the frontiers of research in the area More than half of the material appears here for the first time in book form, with the description of many recent developments in the area, on topics such as irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence The author is the winner of the Ferran Sunyer i Balaguer Prize 2008 Includes supplementary material: sn.pub/extras