Limit theorems for translation flows

Alexander I. Bufetov (1)

1 I2M - Institut de Mathématiques de Marseille

The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus (Theorem 1) and to give a limit theorem for these flows (Theorem 2).

Domaines: Systèmes dynamiques [math.DS]

Alexander I. Bufetov. Limit theorems for translation flows. Annals of Mathematics, 2014, ⟨10.4007/annals.2014.179.2.2⟩. ⟨hal-01256102⟩