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Real numbers, chaos, and the principle of a bounded density of information

Abstract : Two definitions of the notion of a chaotic transformation are compared: sensitivity to initial conditions and sensitivity to perturba- tions. Only the later is compatible with the idea that information has a nite density.
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https://hal.inria.fr/hal-00919543
Contributor : Gilles Dowek <>
Submitted on : Tuesday, December 17, 2013 - 8:19:09 AM
Last modification on : Friday, May 25, 2018 - 12:02:06 PM
Long-term archiving on: : Monday, March 17, 2014 - 10:20:34 PM

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Gilles Dowek. Real numbers, chaos, and the principle of a bounded density of information. CSR 2013 - 8th International Computer Science Symposium in Russia, Jun 2013, Ekaterinburg, Russia. pp.347-353, ⟨10.1007/978-3-642-38536-0_30⟩. ⟨hal-00919543⟩

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