Exercises in Cellular Automata and Groups - Errata, Additions, and Updates

T. Ceccherini-Silberstein, M. Coornaert, "Exercises in Cellular automata and groups", Springer Monographs in Mathematics, Springer, Cham, 2023, XVII + 627 pp., eBook ISBN 978-3-031-10391-9, DOI 10.1007/978-3-031-10391-9, Hardcover ISBN 978-3-031-10390-2, Softcover ISBN 978-3-031-10393-3.

• page 289, lines 12-15: replace " \[ T_j \subset \eta_{F_j \Delta}(Y) \times \pi_{F_j\Delta^2 \setminus F_j}(X) \subset \eta_{F_j }(Y) \times A^{F_j\Delta \setminus F_j} \times A^{F_j\Delta^2 \setminus F_j}, \] so that \[ \log |T_j| \leq \log |\eta_{F_j}(Y) \times A^{F_j\Delta \setminus F_j} \times A^{F_j\Delta^2 \setminus F_j}| = \log|\eta_{F_j }(Y)| + (|F_j\Delta \setminus F_j| + |F_j\Delta^2 \setminus F_j|) \log|A| \] for all $j \in J$." by " \[ T_j \subset \eta_{F_j \Delta}(Y) \times \pi_{F_j\Delta^2 \setminus F_j}(X) \subset \eta_{F_j }(Y) \times B^{F_j\Delta \setminus F_j} \times A^{F_j\Delta^2 \setminus F_j}, \] so that \[ \log |T_j| \leq \log |\eta_{F_j}(Y) \times B^{F_j\Delta \setminus F_j} \times A^{F_j\Delta^2 \setminus F_j}| = \log|\eta_{F_j }(Y)| + |F_j\Delta \setminus F_j| \log|B| + |F_j\Delta^2 \setminus F_j| \log|A| \] for all $j \in J$. "
• page 289, line -1: replace " \[ \frac{\log |T_{j_0}|}{|F_{j_0}|} < \frac{\log |Z_{j_0}|}{F_{j_0}|} \] " by " \[ \frac{\log |T_{j_0}|}{|F_{j_0}|} < \frac{\log |Z_{j_0}|}{|F_{j_0}|} \] "
• page 514, line 4: replace "$a^n = 1_R$" by "$a^n = 0_R$".

Last Update: April 9, 2025