Journal ArticleDOI
Statistical mechanics of cellular automata
TLDR
Analysis is given of ''elementary'' cellular automata consisting of a sequence of sites with values 0 or 1 on a line, with each site evolving deterministically in discrete time steps according to p definite rules involving the values of its nearest neighbors.Abstract:
Cellular automata are used as simple mathematical models to investigate self-organization in statistical mechanics. A detailed analysis is given of "elementary" cellular automata consisting of a sequence of sites with values 0 or 1 on a line, with each site evolving deterministically in discrete time steps according to definite rules involving the values of its nearest neighbors. With simple initial configurations, the cellular automata either tend to homogeneous states, or generate self-similar patterns with fractal dimensions \ensuremath{\simeq} 1.59 or \ensuremath{\simeq} 1.69. With "random" initial configurations, the irreversible character of the cellular automaton evolution leads to several self-organization phenomena. Statistical properties of the structures generated are found to lie in two universality classes, independent of the details of the initial state or the cellular automaton rules. More complicated cellular automata are briefly considered, and connections with dynamical systems theory and the formal theory of computation are discussed.read more
Citations
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Journal ArticleDOI
Simulating physics with cellular automata
TL;DR: In this paper, the space, time, and intrinsic symmetries and corresponding conservation laws of reversible cellular automata are studied, with an emphasis on the conservation of information obeyed by reversible automata.
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Algebraic properties of cellular automata
TL;DR: Algebraic techniques are used to give an extensive analysis of the global properties of a class of finite cellular automata, and the complete structure of state transition diagrams is derived in terms of algebraic and number theoretical quantities.
Journal ArticleDOI
Through the Looking Glass of Complexity: the Dynamics of Organizations As Adaptive and Evolving Systems
Benoit Morel,Rangaraj Ramanujam +1 more
TL;DR: It is suggested that the immediate benefits of CST may be as a framework that facilitates conceptual elaborations and encourages formal modeling; both activities may provide fresh and deep insights into organizational phenomena.
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Theory and applications of cellular automata in cryptography
TL;DR: High quality pseudorandom pattern generators built around rule 90 and 150 programmable cellular automata with a rule selector has been proposed as running key generators in stream ciphers, both the schemes provide better security against different types of attacks.
Journal ArticleDOI
Recent developments and research needs in modeling lane changing
TL;DR: In this paper, the major lane changing models in the literature are categorized into two groups: models that capture the lane changing decision-making process, and models that aim to quantify the impact of lane changing behavior on surrounding vehicles.
References
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Book
Introduction to Automata Theory, Languages, and Computation
TL;DR: This book is a rigorous exposition of formal languages and models of computation, with an introduction to computational complexity, appropriate for upper-level computer science undergraduates who are comfortable with mathematical arguments.
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The Chemical Basis of Morphogenesis
TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.
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On Computable Numbers, with an Application to the Entscheidungsproblem
TL;DR: This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.
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Metabolic stability and epigenesis in randomly constructed genetic nets
TL;DR: The hypothesis that contemporary organisms are also randomly constructed molecular automata is examined by modeling the gene as a binary (on-off) device and studying the behavior of large, randomly constructed nets of these binary “genes”.
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Diffusion-limited aggregation, a kinetic critical phenomenon
Abstract: A model for random aggregates is studied by computer simulation The model is applicable to a metal-particle aggregation process whose correlations have been measured previously Density correlations within the model aggregates fall off with distance with a fractional power law, like those of the metal aggregates The radius of gyration of the model aggregates has power-law behavior The model is a limit of a model of dendritic growth