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arXiv:0804.3970 [math.DS]AbstractReferencesReviewsResources

Limit Theorems for Translation Flows

Alexander I. Bufetov

Published 2008-04-24, updated 2011-12-28Version 4

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: 99 pages. Revised version. Introduction significantly expanded, 6 figures and 3 appendices added
Categories: math.DS, math.CV, math.PR
Subjects: 37A50, 37E35, 37B10, 30F60, 37D25, 28D10
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