02748nam 2200625 450 991081318870332120230808202715.03-11-043085-13-11-043942-510.1515/9783110439427(CKB)3850000000001074(EBL)4718387(MiAaPQ)EBC4718387(DE-B1597)453364(OCoLC)960976105(OCoLC)962097242(DE-B1597)9783110439427(Au-PeEL)EBL4718387(CaPaEBR)ebr11283218(CaONFJC)MIL964151(EXLCZ)99385000000000107420161026h20162016 uy 0engur|n|---|||||rdacontentrdamediardacarrierInfinite ergodic theory of numbers /Marc Kesseböhmer, Sara Munday, Bernd Otto StratmannBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2016.©20161 online resource (206 p.)De Gruyter GraduateDescription based upon print version of record.3-11-043941-7 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- Mathematical symbols -- 1. Number-theoretical dynamical systems -- 2. Basic ergodic theory -- 3. Renewal theory and α-sum-level sets -- 4. Infinite ergodic theory -- 5. Applications of infinite ergodic theory -- Bibliography -- IndexBy 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 α-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex De Gruyter graduate.Ergodic theoryTopological dynamicsDifferentiable dynamical systemsErgodic theory.Topological dynamics.Differentiable dynamical systems.515/.48Kesseböhmer Marc1969-1632753Munday Sara(Sara Ann),Stratmann Bernd OttoMiAaPQMiAaPQMiAaPQBOOK9910813188703321Infinite ergodic theory of numbers3972127UNINA