Limit theorems for translation flows

By Alexander I. Bufetov. 2008

71 citations recorded by the source corpus.

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).

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b79b10324b4448b33cdf8a1c160335d03b44ea51

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Jon Chaika
2. A. Eskin
3. Dawei Chen
4. Maryam Mirzakhani
5. Don Zagier
6. A. Zorich
7. Martin Moeller
8. Martin Möller

Citations in the corpus

• Every flat surface is Birkhoff and Oseledets generic in almost every direction (2013, background): “It is likely that Theorems 1 and 2 of [4] can be extended via Theorem 1.”