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Damage spreading and $\mu$-sensitivity on cellular automata

Published online by Cambridge University Press:  09 January 2007

BRUNO MARTIN
BRUNO MARTIN
Affiliation:
Bouygues SA, 32 av. Hoche, 75008 Paris, France (e-mail: bmartin@bouygues.com)
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Abstract

We show relations between new notions on cellular automata based on probabilistic dynamics: almost everywhere sensitivity to initial conditions for Besicovitch pseudo-distance, damage spreading (which measures the information (or damage) propagation), and the destruction of the initial configuration information. Through natural examples, we illustrate the relations between these formal definitions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 2 , April 2007 , pp. 545 - 565
Copyright
2007 Cambridge University Press

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