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Almost sure invariance principle for some maps of an interval
Published online by Cambridge University Press: 19 September 2008
Abstract
We prove an almost sure invariance principle and a central limit theorem for the process , where f is a map of an interval with a non-positive Schwarzian derivative whose trajectories of critical points stay far from the critical points, and F is a measurable function with bounded p-variation (p ≥ 1).
The almost sure invariance principle implies the Log-log laws, integral tests and a distributional type of invariance principle for the process .
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- Copyright © Cambridge University Press 1985
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