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Original Articles
Large Deviation Results for Periodic Points of a Rational Map
Mark Pollicottmpollic@maths.warwick.ac.ukUK And University Of PortoUniversity of WarwickPortugalView full profile → , Shrihari Sridharanshrihari@math.iisc.ernet.inIndian Institute of ScienceIndiaView full profile →
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- Received:
- 03 Jan 2007
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2007.10698526
- Pages:
- 69–77
Abstract
In this note we show a large deviation result for the periodic points of a hyperbolic rational map on the Riemann sphere. This extends the well known equidistribution result of Lyubich in this setting. We also consider convergence results for more general weighted averages of orbital measures with respect to Hölder continuous functions.
Keywords
References
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