Random ergodic theorems with universally representative sequences
Rank and spectral multiplicity
For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
Rank is not a spectral invariant
Regular generators for multidimensional dynamical systems
Résolution d'une équation fonctionnelle
Rigid reparametrizations and cohomology for horocycle flows.