000			02965nam a22004695i 4500
001			978-0-85729-021-2
003			DE-He213
005			20140220083711.0
007			cr nn 008mamaa
008			100917s2011 xxk| s |||| 0|eng d
020			_a9780857290212 _9978-0-85729-021-2
024	7		_a10.1007/978-0-85729-021-2 _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		_aEinsiedler, Manfred. _eauthor.
245	1	0	_aErgodic Theory _h[electronic resource] : _bwith a view towards Number Theory / _cby Manfred Einsiedler, Thomas Ward.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2011.
300			_aXXX, 467 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aMotivation -- Ergodicity, Recurrence and Mixing -- Continued Fractions -- Invariant Measures for Continuous Maps -- Conditional Measures and Algebras -- Factors and Joinings -- Furstenberg’s Proof of Szemeredi’s Theorem -- Actions of Locally Compact Groups -- Geodesic Flow on Quotients of the Hyperbolic Plane -- Nilrotation -- More Dynamics on Quotients of the Hyperbolic Plane -- Appendix A: Measure Theory -- Appendix B: Functional Analysis -- Appendix C: Topological Groups.
520			_aThis text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aNumber Theory.
650	2	4	_aMeasure and Integration.
700	1		_aWard, Thomas. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857290205
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-021-2
912			_aZDB-2-SMA
999			_c105108 _d105108