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024 7 $a10.1007/978-3-319-00548-5
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100   $a20130701d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDimension theory of hyperbolic flows /$fLuis Barreira
205   $a1st ed. 2013.
210   $aCham, Germany $cSpringer$dc2013
215   $a1 online resource (155 p.)
225  0$aSpringer monographs in mathematics
300   $aDescription based upon print version of record.
311   $a3-319-03392-1 
311   $a3-319-00547-2 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThe dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.   The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aDifferential equations, Hyperbolic
606   $aDimension theory (Algebra)
606   $aMathematics
606   $aGlobal analysis (Mathematics)
606   $aDifferentiable dynamical systems
615  0$aDifferential equations, Hyperbolic.
615  0$aDimension theory (Algebra)
615  0$aMathematics.
615  0$aGlobal analysis (Mathematics)
615  0$aDifferentiable dynamical systems.
676   $a515.353
700   $aBarreira$b Luis$0472518
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910741177203321
996   $aDimension theory of hyperbolic flows$93554368
997   $aUNINA