Limit theorems for translation flows (published version)
Dynamical Systems
2014-07-28 v1 Complex Variables
Probability
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).
Keywords
Cite
@article{arxiv.1212.5574,
title = {Limit theorems for translation flows (published version)},
author = {Alexander I. Bufetov},
journal= {arXiv preprint arXiv:1212.5574},
year = {2014}
}
Comments
The results of this paper are already contained in the preprint arXiv:0804.3970. The exposition here is different: instead of general Markov compacta, Veech's zippered rectangles are used. 69 pages, 3 figures; Annals of Mathematics, 2012, online at http://annals.math.princeton.edu/articles/7111