000			02757cam a22003377a 4500
001			17248615
005			20250609151058.0
008			120410s2012 gw a b 001 0 eng d
020			_a9783642280894
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB325 Q2 NBHM
100	1		_aBarreira, Luís,
245	1	0	_aErgodic theory, hyperbolic dynamics and dimension theory
260			_aHeidelberg : _bSpringer, _c2012.
300			_axii, 290 p. : _bill. ; _c24 cm.
490	1		_aUniversitext.
504			_aIncludes bibliographical references 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. _9717560
650		0	_aErgodic theory. _9811393
650		0	_aDifferential equations, Hyperbolic. _9812238
650		0	_aDimension theory (Topology) _9812239
650		7	_aDifferentiable dynamical systems. _9717560
650		7	_aDifferential equations, Hyperbolic. _9812238
650		7	_aDimension theory (Topology) _9812239
650		7	_aErgodic theory. _9811393
830		0	_aUniversitext. _9812240
942			_2CC _n0 _cTEXL _hB325 Q2 NBHM
999			_c1431520 _d1431520