PhilSci Archive

In What Sense is the Kolmogorov-Sinai Entropy a Measure for Chaotic Behaviour? - Bridging the Gap Between Dynamical Systems Theory and Communication Theory

Frigg, Roman (2003) In What Sense is the Kolmogorov-Sinai Entropy a Measure for Chaotic Behaviour? - Bridging the Gap Between Dynamical Systems Theory and Communication Theory. UNSPECIFIED.

[img]
Preview
PDF
KS_Entropy.pdf

Download (232kB)

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Other
Creators:
CreatorsEmailORCID
Frigg, Roman
Keywords: Chaos, randomness, Kolmogorov-Sinai entropy, Shannon, communication theory, information.
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Roman Frigg
Date Deposited: 29 Sep 2006
Last Modified: 07 Oct 2010 15:14
Item ID: 2929
URI: http://philsci-archive.pitt.edu/id/eprint/2929

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item