Limit theorems for translation flows

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).

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Veröffentlicht in:Annals of mathematics 2014-03, Vol.179 (2), p.431-499
1. Verfasser: Bufetov, Alexander I.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Dynamical Systems
Ergodic theory
Lebesgue measures
Mathematical intervals
Mathematical theorems
Mathematical vectors
Mathematics
Random variables
Rectangles
Topological theorems
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Zusammenfassung: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).
ISSN:0003-486X
DOI:10.4007/annals.2014.179.2.2