Limit Theorems for Translation Flows
Dynamical Systems
2011-12-30 v4 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.0804.3970,
title = {Limit Theorems for Translation Flows},
author = {Alexander I. Bufetov},
journal= {arXiv preprint arXiv:0804.3970},
year = {2011}
}
Comments
99 pages. Revised version. Introduction significantly expanded, 6 figures and 3 appendices added