On the Existence of fixed points of the composition operator for circle maps

Collection : Epstein, Henri

Auteur(e.s) : EPSTEIN

Date : 05/1986

Description : Abstract : In the theory of circle maps with golden ratio rotation number formulated by Feigenbaum, Kadanoff, and Shenker [FKS], and by Ostlund, Rand, Sethna, and Siggia [ORSS], a central role is played by fixed points of a certain composition operator in map space. We define a common setting for the problem of proving the existence of these fixed points and of those occurring in the theory of maps of the interval. We give a proof of the existence of the fixed points for a wide range of the parameters on which they depend.

Sujet(s) : RESEAUX CEREBRAUX

Source : P/86/29

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