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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1)
/ Fanny Bastien
/ 17-06-2013
/ Canal-u.fr
Dajani Karma
Voir le résumé
Voir le 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. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Accéder à la ressource
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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)
/ Fanny Bastien
/ 19-06-2013
/ Canal-u.fr
Dajani Karma
Voir le résumé
Voir le 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. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Accéder à la ressource
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