Des nombres de Salem à la mesure de Mahler de surfaces K3 (Part 1)
De Marie-José Bertin
Nonnegative matrices : Perron Frobenius theory and related algebra (Part 1)
De Mike Boyle
De Karma Dajani
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.