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23-Aug-2004

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Bridging The Gap Between Dynamical Systems Theory And Communication Theory, The
British J. for the Phil. of Sc.
 









Abstract: On an influential account, chaos is explained in terms of random
behaviour; and random behaviour in turn is explained in terms of having positive
Kolmogorov-Sinai entropy (KSE). Though intuitively plausible, the association of
the KSE with random behaviour needs justification since the definition of the
KSE does not make reference to any notion that is connected to randomness. I
provide this justification for the case of Hamiltonian systems by proving that
the KSE is equivalent to a generalized version of Shannon's
communication-theoretic entropy under certain plausible assumptions. I then
discuss consequences of this equivalence for randomness in chaotic dynamical
systems.
Source: In What Sense Is The Kolmogorov-Sinai Entropy A Measure For Chaotic
Behaviour?-Bridging The Gap Between Dynamical Systems Theory And Communication
Theory[ http://www3.oup.co.uk/phisci/hdb/Volume_55/Issue_03/550411.sgm.abs.html
], R. Frigg - r.p.frigglse.ac.uk, The British Journal for the Philosophy of
Science, Sep. 2004
Contributed by Pritha Das - prithadas01yahoo.com

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