There are no iterated morphisms that define the Arshon sequence and the sigma-sequence

Tools

Kitaev, Sergey (2003) There are no iterated morphisms that define the Arshon sequence and the sigma-sequence. Journal of Automata, Languages and Combinatorics, 8 (1). pp. 43-50.

Full text not available in this repository.Request a copy

Abstract

Berstel proved that the Arshon sequence cannot be obtained by iteration of a morphism. An alternative proof of this fact is given here. The $\sigma$-sequence was constructed by Evdokimov in order to construct chains of maximal length in the n-dimensional unit cube. It turns out that the $\sigma$-sequence has a close connection to the Dragon curve. We prove that the $\sigma$-sequence can not be defined by iteration of a morphism.

ORCID iDs

Kitaev, Sergey ORCID logoORCID: https://orcid.org/0000-0003-3324-1647;
CORE (COnnecting REpositories)