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 $\mathbb{P}^k$

Author: Turgay Bayraktar
Journal: Conform. Geom. Dyn. 22 (2018), 45-61
MSC (2010): Primary 37F10, 60F17, 32H50
DOI: https://doi.org/10.1090/ecgd/319
Published electronically: May 31, 2018
MathSciNet review: 3807763
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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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