Incomplete information and fractal phase space

✍ Scribed by Qiuping A. Wang

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 152 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00193-0

✦ Synopsis

The incomplete statistics for complex systems is characterized by a so called incompleteness parameter x 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 x on the basis of fractal phase space. x 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.