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.References
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Bibliographic Information
- Turgay Bayraktar
- Affiliation: Faculty of Engineering and Natural Sciences, Sabancı University, İstanbul, Turkey
- MR Author ID: 1009679
- Email: tbayraktar@sabanciuniv.edu
- Received by editor(s): April 8, 2017
- Received by editor(s) in revised form: November 14, 2017, and January 14, 2018
- Published electronically: May 31, 2018
- © Copyright 2018 American Mathematical Society
- Journal: Conform. Geom. Dyn. 22 (2018), 45-61
- MSC (2010): Primary 37F10, 60F17, 32H50
- DOI: https://doi.org/10.1090/ecgd/319
- MathSciNet review: 3807763