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The Resource Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)
Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)
Resource Information
The item Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 selfcontained 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
 Language
 eng
 Extent
 X, 158 p. 4 illus.
 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
 Isbn
 9783319005485
 Label
 Dimension Theory of Hyperbolic Flows
 Title
 Dimension Theory of Hyperbolic Flows
 Statement of responsibility
 by Luís Barreira
 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 selfcontained 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
 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)
 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
 10.1007/9783319005485
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319005485
 Label
 Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)
 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
 10.1007/9783319005485
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319005485
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/DimensionTheoryofHyperbolicFlowsbyLu%C3%ADs/z5zUQpTyeT8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/DimensionTheoryofHyperbolicFlowsbyLu%C3%ADs/z5zUQpTyeT8/">Dimension Theory of Hyperbolic Flows, by Luís Barreira, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>