LEADER 00723nam0-22002651i-450- 001 990001231060403321 035 $a000123106 035 $aFED01000123106 035 $a(Aleph)000123106FED01 035 $a000123106 100 $a20000920d1967----km-y0itay50------ba 101 0 $aeng 200 1 $aTopics in Optimization.$fby LEITMANN G. 210 $aNew York$cAcademic Press$d1967. 225 1 $aMathematics in science and engineering 300 $aVolume 31.? 700 1$aLeitmann,$bGeorge$025195 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001231060403321 952 $aC-26-(-31$b6980$fMA1 959 $aMA1 996 $aTopics in Optimization$9382131 997 $aUNINA DB $aING01 LEADER 03649nam a2200421 i 4500 001 991003636299707536 006 m o d 007 cr cnu|||unuuu 008 190408s2018 sz a o 100 0 eng d 020 $a3319749080$q(electronic bk.) 020 $a9783319749082$q(electronic bk.) 020 $z9783319749075$q(print) 035 $ab14363914-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a512.7$223 084 $aAMS 37-06 245 00$aErgodic theory and dynamical systems in their interactions with arithmetics and combinatorics$h[e-book] :$bCIRM Jean-Morlet Chair, Fall 2016 /$cSébastien Ferenczi, Joanna Ku?aga-Przymus, Mariusz Lema?czyk, editors 264 1$aCham, Switzerland :$bSpringer,$c2018 300 $a1 online resource (iv, 434 pages) :$billustrations (some color) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2213 505 0 $aPart I. Bases of Analytic Number Theory ; 1. Prime Numbers ; 2. Arithmetic Functions ; 3. Dirichlet Series ; 4. Euler's Gamma Function ; 5. Riemann's Zeta Function ; 6. The Large Sieve ; 7. The Theorem of Vinogradov ; 8. The van der Corput Method. - Part II. Interactions Between Arithmetics and Dynamics ; 9. A Brief Guide to Reversing and Extended Symmetries of Dynamical Systems ; 10. Kloosterman Sums, Disjointness, and Equidistribution ; 11. Sarnak's Conjecture - what's new ; 12. Sarnak's Conjecture Implies the Chowla Conjecture Along a Subsequence ; 13. On the Logarithmic Probability that a Random Integral Ideal is A-free ; 14. The Lagrange and Markov Spectra from the Dynamical Point of View ; 15. On the missing Log Factor ; 16. Chowla's Conjecture: From the Liouville Function to the Moebius Function. - Part III. Selected Topics in Dynamics ; 17. Weak Mixing for Infinite Measure Invertible Transformations ; 18. More on Tame Dynamical Systems ; 19. A Piecewise Rotation of the Circle, IPR Maps and Their Connection with Translation Surfaces 520 $aThis book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described 650 0$aErgodic theory 650 0$aNumber theory 700 1 $aFerenczi, Sébastien$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785954 700 1 $aKu?aga-Przymus, Joanna$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785955 700 1 $aLema?czyk, Mariusz$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785956 776 08$iPrinted edition:$z9783319749075 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-74908-2 907 $a.b14363914$b03-03-22$c08-04-19 912 $a991003636299707536 996 $aErgodic theory and dynamical systems in their interactions with arithmetics and combinatorics$91749891 997 $aUNISALENTO 998 $ale013$b08-04-19$cm$d@ $e-$feng$gsz $h0$i0