Cellular Automata: Analysis and Applications

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The book delves into the analysis of cellular automata, highlighting their significance in mathematical modeling compared to traditional methods. It begins with an introduction to cellular automata on Cayley graphs and their characterization through key theorems. The second part addresses classification based on topological concepts, stability, and formal languages, drawing parallels to partial differential equations. Finally, it explores the analysis of cellular automata related to biological and physical systems, covering concepts like linearity, pattern formation, and models for dynamic systems.