15 August 2008 Deviation of ergodic averages for rational polygonal billiards
J. S. Athreya, G. Forni
Author Affiliations +
Duke Math. J. 144(2): 285-319 (15 August 2008). DOI: 10.1215/00127094-2008-037

Abstract

We prove a polynomial upper bound on the deviation of ergodic averages for almost all directional flows on every translation surface, in particular, for the generic directional flow of billiards in any Euclidean polygon with rational angles

Citation

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J. S. Athreya. G. Forni. "Deviation of ergodic averages for rational polygonal billiards." Duke Math. J. 144 (2) 285 - 319, 15 August 2008. https://doi.org/10.1215/00127094-2008-037

Information

Published: 15 August 2008
First available in Project Euclid: 14 August 2008

zbMATH: 1153.37001
MathSciNet: MR2437681
Digital Object Identifier: 10.1215/00127094-2008-037

Subjects:
Primary: 32G15
Secondary: 37A10

Rights: Copyright © 2008 Duke University Press

Vol.144 • No. 2 • 15 August 2008
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