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arXiv:1212.5574 [math.DS]AbstractReferencesReviewsResources

Limit theorems for translation flows (published version)

Alexander I. Bufetov

Published 2012-12-21Version 1

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).

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
Journal: Annals of Mathematics. 2014. Vol. 179. No. 2. P. 431-499
Categories: math.DS, math.CV, math.PR
Subjects: 37A50, 37E35, 37B10, 30F60, 37D25, 28D10
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arXiv:0804.3970 [math.DS] (Published 2008-04-24, updated 2011-12-28)
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arXiv:math/0608004 [math.DS] (Published 2006-07-31)
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