MARC Record from harvard_bibliographic_metadata

LEADER: 02710cam a2200361Ia 4500
001 013348876-4
005 20140910154322.0
008 111230s2012 gw a b 001 0 eng d
010 $a 2012937287
020 $a9783642280894
020 $a3642280897
035 0 $aocn769988654
040 $aBTCTA$beng$cBTCTA$dYDXCP$dOHX$dCUD$dBWX$dCDX$dMUU
050 04 $aQA614.8$b.B37 2012
072 7 $aQA$2lcco
082 04 $a515/.39$223
100 1 $aBarreira, Luis,$d1968-
245 10 $aErgodic theory, hyperbolic dynamics and dimension theory /$cLuis Barreira.
260 $aHeidelberg ;$aNew York :$bSpringer,$cc2012.
300 $axii, 290 p. :$bill. ;$c24 cm.
490 1 $aUniversitext,$x0172-5939
504 $aIncludes bibliographical references (p. 283-286) and index.
505 0 $a1. Introduction -- Part I. Ergodic theory -- 2. Basic notions and examples -- 3. Further topics -- Part II. Entropy and pressure -- 4. Metric entropy and topological entropy -- 5. Thermodynamic formalism -- Part III. Hyperbolic dynamics -- 6. Basic notions and examples -- 7. Invariant manifolds and Markov partitions -- Part 4. Dimension theory -- 8. Basic notions and examples -- 9. Dimension theory of hyperbolic dynamics -- A. Notions from measure theory.
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 $aDifferentiable dynamical systems.
650 0 $aErgodic theory.
650 0 $aDifferential equations, Hyperbolic.
650 0 $aDimension theory (Topology)
650 0 $aMathematics.
830 0 $aUniversitext.
988 $a20120913
049 $aHLSS
906 $0OCLC