Infinite ergodic theory of numbers / / Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann

• Autore: Kesseböhmer Marc <1969->
• Pubblicazione: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016; ©2016
• Descrizione fisica: 1 online resource (206 p.)
• Disciplina: 515/.48
• Soggetto topico: Ergodic theory; Topological dynamics; Differentiable dynamical systems
• Persona (resp. second.): MundaySara (Sara Ann); StratmannBernd Otto
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 -- Index
• Sommario/riassunto: By 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
• Titolo autorizzato: Infinite ergodic theory of numbers
• ISBN: 3-11-043085-1; 3-11-043942-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910796663303321
• Lo trovi qui: Univ. Federico II
• Serie: De Gruyter graduate.