000			01797nam a22002657a 4500
003			OSt
005			20250611121850.0
008			250611b |||||||| |||| 00| 0 eng d
020			_a9781447125914
040			_aCSL _cCSL
041			_aeng _deng
084			_aB325 Q1 NBHM _qCSL
100			_aEinsiedler, Manfred, _eauthor. _9458745
245			_aErgodic theory: _bwith a view towards number theory
260			_aLondon: _bSpringer- Verlag, _c2011.
300			_axvii, 481p.: _bill. ; _c23 cm.
440			_vGraduate texts in mathematics
500			_aIncludes bibliography and index.
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			_2Ergodic theory
650			_2Homogenous spaces
650			_2Measure rigidity
650			_2Number theory
942			_2CC _n0 _cTEXL _hB325 Q1 NBHM
999			_c1431603 _d1431603