Communications in Mathematical Physics

, Volume 96, Issue 4, pp 521–538

A shorter proof of the existence of the Feigenbaum fixed point

  • Oscar E. LanfordIII

DOI: 10.1007/BF01212533

Cite this article as:
Lanford, O.E. Commun.Math. Phys. (1984) 96: 521. doi:10.1007/BF01212533


We use the Leray-Schauder Fixed Point Theorem to prove the existence of an analytic fixed point for the period doubling accumulation renormalization operator. Our argument does not, however, show that the linearization of the renormalization operator at this fixed point is hyperbolic.

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Oscar E. LanfordIII
    • 1
  1. 1.IHESBures-sur-YvetteFrance

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