Cellular Automata: Analysis and Applications

“I have enjoyed reading this book. It provides a clear account, with many examples and nice proofs, of the most important and general rigorous results of cellular automata in a way that is accessible to a wide readership. Advanced undergraduate and beginning graduate students of several fields … will find here a valuable toolbox. The book is also valuable for self-study and as a reference, and does a great service in bridging the gap between applications/simulations and rigorous mathematical results.” (Vladimir García Morales, Mathematical Reviews, January, 2018)

“This book gives a comprehensive overview of the methods of analysis that are applicable to these dynamical systems. ... this is the first work that gives a comprehensive overview of the methods that have been proposed to derive a cellular automaton from a partial differential equation, and vice versa. ... this book is a must-have for researchers in the field.” (Jan Baetens, zbMATH 1382.37001, 2018)