Equidistribution modulo finite groups in shifts
speaker: Valérie Berthé (CNRS, Université Paris Cité)abstract: We study equidistribution results with respect to finite groups for shift spaces, via ergodic properties of skew products between the shift space and a finite group. In particular, we study the density of group languages (i.e., rational languages recognized by morphisms onto finite groups) inside shift spaces. As an example, we consider the frequency of words with an even number of a given letter. We consider both the cases of shifts of finite type (with a suitable notion of irreducibility), and of minimal shifts. In the latter case, we obtain a closed formula for the density which holds whenever the skew product has minimal closed invariant subsets which are ergodic under the product of the original measure and the uniform probability measure on the group. This is a joint work with H. Goulet-Ouellet, C.-F. Nyberg-Brodda, D. Perrin and K. Petersen.
timetable:
Fri 24 May, 11:30 - 12:30, Aula Dini
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