Lattice subsequences of fixed points of Toeplitz substitutions
Shishuang Liu, Hui Rao
TL;DR
This paper investigates the structure of lattice subsequences within fixed points generated by Toeplitz substitutions, introducing a method to determine when one such fixed point is a subsequence of another.
Contribution
It defines modulo-$m$ Toeplitz fixed points and presents a novel method to check lattice subsequence relations between them.
Findings
Characterization of modulo-$m$ Toeplitz fixed points
A method to verify lattice subsequence relations
Insights into the structure of Toeplitz substitution fixed points
Abstract
We define the modulo- Toeplitz fixed point generated by Toeplitz substitution and study the lattice subsequence of such fixed point. Moreover, we provide a method to check whether one modulo- Toeplitz fixed point is a lattice subsequence of another.
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