Almost Sure Invariance Principle for non-autonomous holomorphic dynamics in $\Bbb{P}^k$
Dynamical Systems
2018-07-16 v3 Complex Variables
Probability
Abstract
We prove almost sure invariance principle, a strong form of approximation by Brownian motion, for non-autonomous holomorphic dynamical systems on complex projective space for H\"{o}lder continuous and DSH observables.
Keywords
Cite
@article{arxiv.1702.07055,
title = {Almost Sure Invariance Principle for non-autonomous holomorphic dynamics in $\Bbb{P}^k$},
author = {Turgay Bayraktar},
journal= {arXiv preprint arXiv:1702.07055},
year = {2018}
}
Comments
v2. Minor revisions, v3. Statement of Theorem 1.2 is slightly improved by relaxing the assumption on the growth rate of the variances. Incorporating Referee comments. To appear in Comform. Geom. Dyn