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Titlebook: Complex Systems; Eric Goles,Servet Martínez Book 2001 Springer Science+Business Media Dordrecht 2001 Chaos.Markov.algorithm.algorithms.aut

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书目名称Complex Systems
编辑Eric Goles,Servet Martínez
视频video
丛书名称Nonlinear Phenomena and Complex Systems
图书封面Titlebook: Complex Systems;  Eric Goles,Servet Martínez Book 2001 Springer Science+Business Media Dordrecht 2001 Chaos.Markov.algorithm.algorithms.aut
描述This volume contains the courses given at the Sixth Summer School on Complex Systems held at Facultad de Ciencias Fisicas y Maternaticas, Universidad de Chile at Santiago, Chile, from 14th to 18th December 1998. This school was addressed to graduate students and researchers working on areas related with recent trends in Complex Systems, including dynamical systems, cellular automata, complexity and cutoff in Markov chains. Each contribution is devoted to one of these subjects. In some cases they are structured as surveys, presenting at the same time an original point of view and showing mostly new results. The paper of Pierre Arnoux investigates the relation between low complex systems and chaotic systems, showing that they can be put into relation by some re­ normalization operations. The case of quasi-crystals is fully studied, in particular the Sturmian quasi-crystals. The paper of Franco Bagnoli and Raul Rechtman establishes relations be­ tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization pro
出版日期Book 2001
关键词Chaos; Markov; algorithm; algorithms; automata; coding; complex system; complex systems; complexity; dynamisc
版次1
doihttps://doi.org/10.1007/978-94-010-0920-1
isbn_softcover978-94-010-3817-1
isbn_ebook978-94-010-0920-1Series ISSN 1386-288X
issn_series 1386-288X
copyrightSpringer Science+Business Media Dordrecht 2001
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Lyapunov Exponents and Synchronization of Cellular Automata,th an introduction to CA, introduce the concept of Boolean derivative and show that any CA has a finite expansion in terms of the Boolean derivatives. The Lyapunov exponents are defined as the rate of exponential growth of the linear part of this expansion using a suitable norm. We then present a si
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Why Kolmogorov Complexity?,ility? Is it possible to partition the set of infinite binary strings into two subsets, namely, the subset of random strings and the other of non-random ones? The goal of this paper is to present the answers to the above questions which are provided by the Kolmogorov theory. The basic preliminaries
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Cutoff for Markov Chains: Some Examples and Applications,quilibrium measure is close to 1 until some deterministic ‘cutoff time’, and close to 0 shortly after. Many examples have been studied by Diaconis and his followers. Our goal is to introduce two families of examples of this phenomenon, focusing mainly on their possible applications. We present first
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Book 2001anco Bagnoli and Raul Rechtman establishes relations be­ tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization pro
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1386-288X incipal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization pro978-94-010-3817-1978-94-010-0920-1Series ISSN 1386-288X
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Dynamical Systems and Biological Regulations,tion in neuromodelling. We consider after the case of a universal minimal regulatory system (called a regulon), having a positive and a negative circuit in its interaction matrix, and we recall the main results related to the presence of such circuits. Finally, we give two examples of application of
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