Ergodic non-abelian smooth extensions of an irrational rotation

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

Above an irrational rotation on the Circle, we build optimally smooth ergodic cocycles with values in some nilpotent or solvable subgroups of triangular matrices.

Domaines: Systèmes dynamiques [math.DS]

Julien Brémont. Ergodic non-abelian smooth extensions of an irrational rotation. Journal of the London Mathematical Society, 2010, 81 (1), pp.457-476. ⟨hal-00794134⟩