Rational countable steps functions on the Circle and ergodicity of Maharam measures

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We consider skew-products de ned by BV countable steps functions with rational endpoints over an irrational rotation on the circle. We study the ergodicity of Lebesgue measure and more generally of all conformal (also called Maharam) measures. We next give an application to BV Davenport series.

Domaines: Systèmes dynamiques [math.DS]

Julien Brémont. Rational countable steps functions on the Circle and ergodicity of Maharam measures. Bulletin of the London Math. Soc., 2013, 1 (1), pp.1-13. ⟨hal-00794138⟩