Information dynamics: Temporal behavior of uncertainty measures

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Incorporates cond-mat/0604538, title, abstract changed, text modified, to appear in Cent. Eur. J. Phys

Scientific paper

10.2478/s11534-008-0020-6

We carry out a systematic study of uncertainty measures that are generic to dynamical processes of varied origins, provided they induce suitable continuous probability distributions. The major technical tool are the information theory methods and inequalities satisfied by Fisher and Shannon information measures. We focus on a compatibility of these inequalities with the prescribed (deterministic, random or quantum) temporal behavior of pertinent probability densities.

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