An explicit description of all scrambled sets of weakly unimodal functions of type 2∞

Abstract

The aim of this paper is to describe in an explicit way all scrambled sets of chaotic weakly unimodal functions of type \(2^\infty\). For this purpose, we introduce in this setting a new coding method which turns out to be more useful here than the standard one from Milnor and Thurston's kneading theory \cite{MT}.