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Incomplete information and fractal phase space

Qiuping A. Wang
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Abstract

The incomplete statistics for complex systems is characterized by a so called incompleteness parameter $ω$ which equals unity when information is completely accessible to our treatment. This paper is devoted to the discussion of the incompleteness of accessible information and of the physical signification of $ω$ on the basis of fractal phase space. $ω$ is shown to be proportional to the fractal dimension of the phase space and can be linked to the phase volume expansion and information growth during the scale refining process.

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Qiuping A. Wang. 2003-04-24. Incomplete information and fractal phase space. https://arxiv.org/abs/cond-mat/0207647

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