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Nombre de programmes trouvés : 3561
Cours magistraux

le (1h14m50s)

Valérie Berthé - Fractions continues multidimensionnelles et dynamique (Part 2)

Le but de cet exposé est de présenter des généralisations multidimensionnelles des fractions continues et de l’algorithme d’Euclide d’un point de vue systèmes dynamiques, en nous concentrant sur les liens avec la numération et les substitutions. Nous allons considérer principalement deux types de généralisations, à savoir, les algorithmes définis par homographies, comme l’algorithme de Jacobi-Perron, et les fractions continues associées aux algorithmes de réduction dans les réseaux.
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Cours magistraux

le (1h13m41s)

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

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.
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Cours magistraux

le (1h8m41s)

Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)

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.
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Cours magistraux

le (1h18m46s)

Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 3)

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.
Voir la vidéo

 
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