The Resource Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)

Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)

Label
Dimension Theory of Hyperbolic Flows
Title
Dimension Theory of Hyperbolic Flows
Statement of responsibility
by Luís Barreira
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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 to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs. The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material
Member of
http://library.link/vocab/creatorName
Barreira, Luís
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis (Mathematics)
  • Differentiable dynamical systems
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Analysis
Label
Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
X, 158 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319005485
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-00548-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00548-5
Label
Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
X, 158 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319005485
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-00548-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00548-5

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