A short proof of the existence of universal functions

Mestel, Benjamin D. (2013). A short proof of the existence of universal functions. Real Analysis Exchange, 38(2) pp. 425–430.

DOI: https://doi.org/10.14321/realanalexch.38.2.0425

URL: http://msupress.org/journals/issue/?id=50-21D-5C9

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 > 1. The method is based on H. Epstein's Herglotz-function technique.

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About

• Item ORO ID
• 39242
• Item Type
• Journal Item
• ISSN
• 0147-1937
• Keywords
• Feigenbaum; functional equation; Herglotz function; universality
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2013 Michigan State University Press
• Depositing User
• Benjamin Mestel