Almost sure invariance principle for non-autonomous holomorphic dynamics in ℙ^{𝕜}

Bayraktar, Turgay

doi:10.1090/ecgd/319

Almost sure invariance principle for non-autonomous holomorphic dynamics in $\mathbb {P}^k$
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by Turgay Bayraktar

Conform. Geom. Dyn. 22 (2018), 45-61

DOI: https://doi.org/10.1090/ecgd/319

Published electronically: May 31, 2018

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Abstract:

We prove an almost sure invariance principle, a strong form of approximation by Brownian motion, for non-autonomous holomorphic dynamical systems on complex projective space $\mathbb {P}^k$ for Hölder continuous and DSH observables.

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Conformal Geometry and Dynamics

Almost sure invariance principle for non-autonomous holomorphic dynamics in $\mathbb {P}^k$
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Abstract: