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arxiv: 1702.07055 · v3 · pith:AWKEJO5Hnew · submitted 2017-02-23 · 🧮 math.DS · math.CV· math.PR

Almost Sure Invariance Principle for non-autonomous holomorphic dynamics in Bbb{P}^k

classification 🧮 math.DS math.CVmath.PR
keywords almostholomorphicinvariancenon-autonomousprinciplesureapproximationbrownian
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We prove almost sure invariance principle, a strong form of approximation by Brownian motion, for non-autonomous holomorphic dynamical systems on complex projective space $\Bbb{P}^k$ for H\"{o}lder continuous and DSH observables.

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