LEADER 02748nam 2200625 450 001 9910796663303321 005 20230808202715.0 010 $a3-11-043085-1 010 $a3-11-043942-5 024 7 $a10.1515/9783110439427 035 $a(CKB)3850000000001074 035 $a(EBL)4718387 035 $a(MiAaPQ)EBC4718387 035 $a(DE-B1597)453364 035 $a(OCoLC)960976105 035 $a(OCoLC)962097242 035 $a(DE-B1597)9783110439427 035 $a(Au-PeEL)EBL4718387 035 $a(CaPaEBR)ebr11283218 035 $a(CaONFJC)MIL964151 035 $a(EXLCZ)993850000000001074 100 $a20161026h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aInfinite ergodic theory of numbers /$fMarc Kessebo?hmer, Sara Munday, Bernd Otto Stratmann 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016. 210 4$dİ2016 215 $a1 online resource (206 p.) 225 1 $aDe Gruyter Graduate 300 $aDescription based upon print version of record. 311 $a3-11-043941-7 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $tMathematical symbols -- $t1. Number-theoretical dynamical systems -- $t2. Basic ergodic theory -- $t3. Renewal theory and ?-sum-level sets -- $t4. Infinite ergodic theory -- $t5. Applications of infinite ergodic theory -- $tBibliography -- $tIndex 330 $aBy connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and ?-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex 410 0$aDe Gruyter graduate. 606 $aErgodic theory 606 $aTopological dynamics 606 $aDifferentiable dynamical systems 615 0$aErgodic theory. 615 0$aTopological dynamics. 615 0$aDifferentiable dynamical systems. 676 $a515/.48 700 $aKessebo?hmer$b Marc$f1969-$01499317 702 $aMunday$b Sara$g(Sara Ann), 702 $aStratmann$b Bernd Otto 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796663303321 996 $aInfinite ergodic theory of numbers$93725246 997 $aUNINA