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2012/2013 A Short Proof of the Existence of Universal Functions
Benjamin D. Mestel
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Real Anal. Exchange 38(2): 425-430 (2012/2013).


We present a short proof of the existence of universal functions for period-doubling and critical golden-mean circle maps for all degrees of criticality \(d \gt 1\). The method is based on H. Epstein's Herglotz-function technique.


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Benjamin D. Mestel. "A Short Proof of the Existence of Universal Functions." Real Anal. Exchange 38 (2) 425 - 430, 2012/2013.


Published: 2012/2013
First available in Project Euclid: 27 June 2014

MathSciNet: MR3261887

Primary: 37E05 , 37E10 , 37E20

Keywords: Feigenbaum , functional equation , Herglotz function , Universality

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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