## Real Analysis Exchange

### A Short Proof of the Existence of Universal Functions

Benjamin D. Mestel

#### Abstract

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.

#### Article information

Source
Real Anal. Exchange, Volume 38, Number 2 (2012), 425-430.

Dates
First available in Project Euclid: 27 June 2014