000 03051nam a22004455i 4500
001 978-3-642-28090-0
003 DE-He213
005 20140220083310.0
007 cr nn 008mamaa
008 120427s2012 gw | s |||| 0|eng d
020 _a9783642280900
_9978-3-642-28090-0
024 7 _a10.1007/978-3-642-28090-0
_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, Luis.
_eauthor.
245 1 0 _aErgodic Theory, Hyperbolic Dynamics and Dimension Theory
_h[electronic resource] /
_cby Luis Barreira.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXII, 290 p. 34 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aPreface -- I Ergodic Theory -- 1.Basic Notions and Examples -- 2.Further Topics -- II Entropy and Pressure -- 3.Metric Entropy and Topological Entropy -- 4.Thermodynamic Formalism. III Hyperbolic Dynamics -- 5.Basic Notions and Examples -- 6.Invariant Manifolds and Markov Partitions -- IV Dimension Theory -- 7.Basic Notions and Examples -- 8.Dimension Theory of Hyperbolic Dynamics -- A Notions from Measure Theory -- Bibliography -- Index.
520 _aOver the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 1 4 _aMathematics.
650 2 4 _aDynamical Systems and Ergodic Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642280894
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-28090-0
912 _aZDB-2-SMA
999 _c102722
_d102722