| Titre : | Ergodic theory : with a view towards number theory | | Type de document : | texte imprimé | | Auteurs : | Manfred EINSIEDLER, Auteur ; Thomas WARD, Auteur | | Editeur : | Berlin : Springer-Verlag | | Année de publication : | cop. 2010 | | Collection : | Graduate Texts in Mathematics, ISSN 0072-5285 num. 259 | | Importance : | XVII-481 p. | | ISBN/ISSN/EAN : | 978-0-85729-020-5 | | Langues : | Anglais | | Catégories : | 05D10
11-01
37-01
37D40
| | Mots-clés : | théorie ergodique espace homogène théorie des nombres | | Résumé : | This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.
Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. | | Note de contenu : | index, références |
Ergodic theory : with a view towards number theory [texte imprimé] / Manfred EINSIEDLER, Auteur ; Thomas WARD, Auteur . - Berlin : Springer-Verlag, cop. 2010 . - XVII-481 p.. - ( Graduate Texts in Mathematics, ISSN 0072-5285; 259) . ISBN : 978-0-85729-020-5 Langues : Anglais | Catégories : | 05D10
11-01
37-01
37D40
| | Mots-clés : | théorie ergodique espace homogène théorie des nombres | | Résumé : | This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.
Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. | | Note de contenu : | index, références |
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