Limit Theorems for Translation Flows

Mathematics – Dynamical Systems

Scientific paper

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99 pages. Revised version. Introduction significantly expanded, 6 figures and 3 appendices added

Scientific paper

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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