Abstract

This paper investigates a constructive characterization of kneading sequences belonging to unimodal maps with embedded adding machines. It takes the concept of a {0,1}-regular scheme, which can be used to generate all kneading sequences of unimodal maps for which the turning point is regularly recurrent, and adds an extra condition that guarantees the constructed kneading sequence will additionally belong to a unimodal map with an embedded adding machine. Furthermore, every kneading sequence belonging to a unimodal map with an embedded adding machine can be constructed in this manner.

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