Symbolic dynamics of fully developed chaos

R. Kluiving, H.W. Capel and R.A. Pasmanter

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 67-95

Abstract: By discerning levels k of statistical description it is shown that the level-k Boltzmann entropy h(k) ∝ log (# possibilities on level k) of two-symbol sequences equals the information theoretical conditional entropy kS(k)-(k-1)S(k-1), with S(k) the average Shannon entropy on level k. A mixing measure μ is introduced by means of an appropriate demixing procedure. From the properties of the two-symbol sequence an expression for a symbolic 2 x 2 correlation matrix is derived.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:67-95

DOI: 10.1016/0378-4371(92)90179-T

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