Compression-based investigation of the dynamical properties of cellular automata

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A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the compression-based approach classifies cellular automata (CA) into clusters according to their heuristic behavior, with these clusters showing a correspondence with Wolfram's main classes of CA behavior. A Gray code-based numbering scheme for initial conditions and a c

Article
chaos theory
ait
compression
wolfram's 4 classes
algorithmic information theory
cellular automata classification
phase transitions
lyapunov exponent
hypersensitivity
computer science
new ideas
dynamical systems

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Hector Zenil Chavez
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Title Compression-based investigation of the dynamical properties of cellular automata
A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the compression-based approach classifies cellular automata (CA) into clusters according to their heuristic behavior, with these clusters showing a correspondence with Wolfram's main classes of CA behavior. A Gray code-based numbering scheme for initial conditions and a c
Work type Article
Tags chaos theory, ait, compression, wolfram's 4 classes, algorithmic information theory, cellular automata classification, phase transitions, lyapunov exponent, hypersensitivity, computer science, new ideas, dynamical systems

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Registry info in Safe Creative

Identifier 1004125973828
Entry date Apr 12, 2010, 1:00 PM UTC
License Creative Commons Attribution Non-commercial No Derivatives 3.0

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Copyright registered declarations

Author. Holder Hector Zenil Chavez. Date Apr 12, 2010.


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