Correction to: A class of discrete dynamical systems with properties of both cellular automata and L-systems

1 Correction to: Natural Computing (2020) 19:609–641 https://doi.org/10.1007/s11047-019-09739-5

In the pdf version of the original publication, in the proof of Theorem 8 (second column of p. 632), the T matrices appeared incorrectly. The correct values are given here.

$$\begin{aligned}T&=\left[ \begin{matrix} 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0\\ 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0\\ 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0\\ 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0\\ 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0\\ 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0\\ 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1\\ 0 &\quad 0 &\quad 0 &\quad 1 &\quad 0 &\quad 0 &\quad 0 &\quad 1 \end{matrix}\right] \\ & =\left[ \begin{matrix}1&1\end{matrix}\right] \otimes I_4 \otimes \left[ \begin{matrix} 1\\ 1\end{matrix}\right] ,\end{aligned}$$

$$\begin{aligned}T=\left[ \begin{matrix} 0 &\quad 0 &\quad 0 &\quad 0\\ 0 &\quad 0 &\quad 1 &\quad 0\\ 0 &\quad 1 &\quad 0 &\quad 1\\ 0 &\quad 1 &\quad 0 &\quad 1 \end{matrix}\right] ,\end{aligned}$$