000			02040nam a22003377a 4500
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020			_a9783319749075
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a511.2 _bFER-E
245	0	0	_aErgodic theory and dynamical systems in their interactions with arithmetics and combinatorics : _bCirm Jean-Morlet chair, fall 2016
260			_aNew York, NY : _bSpringer Berlin Heidelberg, _c2018.
300			_axiv, 431 pages : _billustrations (231 b/w illustrations)
490			_aLecture notes in mathematics, _v2213 _x0075-8434 ;
520			_aThis book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
650			_aErgodic theory
650			_aNumber theory
650			_aAnalytic number theory
650			_aSarnak's conjecture
650			_aChowla's conjecture
650			_aHomogenous dynamics
650			_aLagrange spectrum
650			_aMoebius disjointness
700			_aFerenczi, Sébastien _eeditor
700			_aKułaga-Przymus, Joanna _eeditor
700			_aLemańczyk, Mariusz _eeditor
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-319-74908-2/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/70161548-ergodic-theory-and-dynamical-systems-in-their-interactions-with-arithmet?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35745 _d35745