| 书目名称 | Solvable Cellular Automata | | 副标题 | Methods and Applicat | | 编辑 | Henryk Fukś | | 视频video | | | 概述 | Addresses solvability of cellular automata with many results and applications.Provides an appendix with solution formulas, both deterministic and probabilistic, for over 60 cellular automata.Provides | | 丛书名称 | Understanding Complex Systems | | 图书封面 |  | | 描述 | The main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula. The author considers solutions of two types of initial value problems for cellular automata, the deterministic one and the probabilistic one. In the first chapter the basic concepts of cellular automata theory are introduced. Deterministic initial value problem is introduced next and solutions for selected simple rules are also presented. In the following chapters various techniques for solving the deterministic problem are introduced, using elementary CA rules of increasing complexity as examples. The second part of the book introduces the concept of probability measure in the context of cellular automata and the probabilistic initial value problem for both deterministic and probabilistic rules. The book is amply illustrated with examples and applications such as the density classification problem, phase transitions in traffic models or the diffusion of innovations model. In the appendix, solution formulae (both deterministic and probabilistic) for over 60 elementary cellular automata rules are listed. Ruelle-Frobenius | | 出版日期 | Book 2023 | | 关键词 | Density of ones in Cellular Automata; Solutions of Cellular Automata; Density Classification Problem; T | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-38700-5 | | isbn_softcover | 978-3-031-38702-9 | | isbn_ebook | 978-3-031-38700-5Series ISSN 1860-0832 Series E-ISSN 1860-0840 | | issn_series | 1860-0832 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:34:45
