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Record Nr. |
UNINA9910796663303321 |
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Autore |
Kesseböhmer Marc <1969-> |
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Titolo |
Infinite ergodic theory of numbers / / Marc Kesseböhmer, Sara Munday, Bernd Otto Stratmann |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
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©2016 |
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ISBN |
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3-11-043085-1 |
3-11-043942-5 |
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Descrizione fisica |
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1 online resource (206 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Ergodic theory |
Topological dynamics |
Differentiable dynamical systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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