The Resource Dimension and Recurrence in Hyperbolic Dynamics, by Luis Barreira, (electronic resource)

Dimension and Recurrence in Hyperbolic Dynamics, by Luis Barreira, (electronic resource)

Label
Dimension and Recurrence in Hyperbolic Dynamics
Title
Dimension and Recurrence in Hyperbolic Dynamics
Statement of responsibility
by Luis Barreira
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Barreira, Luis
Dewey number
514.7
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
hsq5SzlklQQ
Language note
English
LC call number
QA313
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Progress in Mathematics,
Series volume
272
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Cell aggregation
  • Global analysis (Mathematics)
  • Dynamical Systems and Ergodic Theory
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Analysis
Label
Dimension and Recurrence in Hyperbolic Dynamics, by Luis Barreira, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (309 p.)
Form of item
online
Isbn
9781281872432
Media category
computer
Media type code
c
Other control number
10.1007/978-3-7643-8882-9
Specific material designation
remote
System control number
  • (CKB)1000000000546245
  • (EBL)417558
  • (OCoLC)304563693
  • (SSID)ssj0000139313
  • (PQKBManifestationID)11158244
  • (PQKBTitleCode)TC0000139313
  • (PQKBWorkID)10031716
  • (PQKB)10294480
  • (DE-He213)978-3-7643-8882-9
  • (MiAaPQ)EBC417558
  • (EXLCZ)991000000000546245
Label
Dimension and Recurrence in Hyperbolic Dynamics, by Luis Barreira, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (309 p.)
Form of item
online
Isbn
9781281872432
Media category
computer
Media type code
c
Other control number
10.1007/978-3-7643-8882-9
Specific material designation
remote
System control number
  • (CKB)1000000000546245
  • (EBL)417558
  • (OCoLC)304563693
  • (SSID)ssj0000139313
  • (PQKBManifestationID)11158244
  • (PQKBTitleCode)TC0000139313
  • (PQKBWorkID)10031716
  • (PQKB)10294480
  • (DE-He213)978-3-7643-8882-9
  • (MiAaPQ)EBC417558
  • (EXLCZ)991000000000546245

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