Limit theorems for translation flows


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).


Alexander I. Bufetov

Laboratoire d'Analyse, Topologie, Probabilités, Aix-Marseille Université, CNRS, the Steklov Institute of Mathematics, the Institute for Information Transmission Problems, National Research University Higher School of Economics, the Independent University of Moscow, Rice University