000			01616nam a22002297a 4500
999			_c64751 _d64751
008			200313b2011 ||||| |||| 00| 0 eng d
020			_a9781447125914
082			_a515.48 EIN-M
100			_aEinsiedler, Manfred
245			_aErgodic theory : _bwith a view towards number theory / _cManfred Einsiedler and Thomas Ward
260			_aNew York _bSpringer _c2011
300			_a481 p.
365			_aEU _b59.95.
500			_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			_aErgodic theory
650			_aNumber theory
650			_aMathematics
650			_aDifferentiable dynamical systems
650			_aMeasure theory
650			_aDynamics
700			_aWard, Thomas