Limit Theorems for Translation Flows

Abstract

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).

99 pages. Revised version. Introduction significantly expanded, 6 figures and 3 appendices added

References in corpus (1)

• Connected components of the moduli spaces of Abelian differentials with prescribed singularities

Cited by in corpus (1)

• Limit theorems for self-similar tilings