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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1) (en Anglais) | |||
Droits : CC BY-NC-ND 4.0 Auteur(s) : Dajani Karma, Bastien Fanny 17-06-2013 Description : In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural extensions, we apply these to the familiar expansions mentioned above in order to understand the structure and global behaviour of different number theoretic expansions, and to obtain new and old results in an elegant and straightforward manner. Mots-clés libres : mathématiques,Grenoble,école d'été,dynamics,institut fourier,summer school,number theory | TECHNIQUE Type : image en mouvement Format : video/x-flv Source(s) : rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/karma.dajani.an.introduction.to.ergodic.theory.of.numbers.part.1._22725/dajani_ecoleete_17062013_sd.mp4 | ||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:22725 Type de ressource : Ressource documentaire |
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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1) (en Anglais) | |||||||||
Identifiant de la fiche : 22725 Schéma de la métadonnée : LOMv1.0, LOMFRv1.0 Droits : libre de droits, gratuit Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 Auteur(s) : DAJANI KARMA Éditeur(s) : Fanny Bastien 17-06-2013 Description : In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural extensions, we apply these to the familiar expansions mentioned above in order to understand the structure and global behaviour of different number theoretic expansions, and to obtain new and old results in an elegant and straightforward manner. Mots-clés libres : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
| PEDAGOGIQUE Type pédagogique : cours / présentation Niveau : doctorat TECHNIQUE Type de contenu : image en mouvement Format : video/x-flv Taille : 2.67 Go Durée d'exécution : 1 heure 13 minutes 41 secondes RELATIONS Cette ressource fait partie de : | ||||||||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:22725 Type de ressource : Ressource pédagogique |
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