000			03284nam a22005057a 4500
001			sulb-eb0023275
003			BD-SySUS
005			20160413122342.0
007			cr nn 008mamaa
008			130612s2013 gw | s |||| 0|eng d
020			_a9783319005485 _9978-3-319-00548-5
024	7		_a10.1007/978-3-319-00548-5 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aBarreira, Luís. _eauthor.
245	1	0	_aDimension Theory of Hyperbolic Flows _h[electronic resource] / _cby Luís Barreira.
264		1	_aHeidelberg : _bSpringer International Publishing : _bImprint: Springer, _c2013.
300			_aX, 158 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aDynamics.
650		0	_aErgodic theory.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aAnalysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319005478
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-00548-5
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c45367 _d45367