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Vidéo Année : 2013

Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1)

Afficher 

Karma Dajani
  • Fonction : Orateur
  • PersonId : 838197
Fanny Bastien
Vanille Beaumont
  • Fonction : Monteur

Résumé

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.

Dates et versions

medihal-01319298 , version 1 (20-05-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01319298 , version 1

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Karma Dajani, Fanny Bastien, Vanille Beaumont. Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1) : Summer School 2013 - Number theory and dynamics. 2013. ⟨medihal-01319298⟩
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