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Titlebook: Probabilistic Cellular Automata; Theory, Applications Pierre-Yves Louis,Francesca R. Nardi Book 2018 Springer International Publishing AG 2

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发表于 2025-3-21 19:18:54 | 显示全部楼层 |阅读模式
书目名称Probabilistic Cellular Automata
副标题Theory, Applications
编辑Pierre-Yves Louis,Francesca R. Nardi
视频video
概述Offers an introduction to the role and relevance of PCA technology.Illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical
丛书名称Emergence, Complexity and Computation
图书封面Titlebook: Probabilistic Cellular Automata; Theory, Applications Pierre-Yves Louis,Francesca R. Nardi Book 2018 Springer International Publishing AG 2
描述.This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, ill
出版日期Book 2018
关键词high-dimensional interacting stochastic systems; dynamical systems; multiscale models; complex systems;
版次1
doihttps://doi.org/10.1007/978-3-319-65558-1
isbn_softcover978-3-030-09742-4
isbn_ebook978-3-319-65558-1Series ISSN 2194-7287 Series E-ISSN 2194-7295
issn_series 2194-7287
copyrightSpringer International Publishing AG 2018
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发表于 2025-3-21 23:45:47 | 显示全部楼层
Probabilistic Cellular Automata in the Visual Arts,er Struycken (The Netherlands, 1939). He was struck by Struycken’s black and white works “Computerstructuren” (1969), which were painted after grid patterns generated by algorithms. Geurts assumed that they must have been produced using cellular automata. He started working with Lambert Meertens at
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Ising Model on the Torus and PCA Dynamics: Reversibility, Irreversibility, and Fast Tunnelinges of results about them, restricting the discussion to the nearest-neighbor Ising model. For both the weakly and strongly coupled spins, we show how it is possible to explicitly evaluate the accuracy of our approximation scheme. Moreover, in the strong coupling regime (low temperature), we show how
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Epidemic Automaton and the Eden Model: Various Aspects of Robustnessss well-known properties of Epidemic on a finite grid and its analogous on the infinite square lattice: the Eden model. This survey is intended for non-probabilists and gives a detailed study of the robustness of a cellular automaton with respect to several sources of randomness.
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