Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
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BC, PaC AND SePaC METHODS FOR FRACTAL ANALYSIS OF<br />
EVENTS<br />
T. Dedovich ♮ and M. Tokarev ♭<br />
<strong>Joint</strong> <strong>Institute</strong> <strong>for</strong> <strong>Nuclear</strong> <strong>Research</strong>, Dubna, Russia<br />
♮ E-mail: dedovich@sunhe.jinr.ru<br />
♭ E-mail: tokarev@jinr.ru<br />
Results <strong>of</strong> analysis <strong>of</strong> wide class <strong>of</strong> fractals using the Box Counting, P-adic Coverage<br />
and System <strong>of</strong> Equations <strong>of</strong> P-adic Coverage methods are presented. Methods are described<br />
and comparison underlying hypotheses is given. The parameters <strong>of</strong> algorithms<br />
- χ 2 lim <strong>for</strong> BC, P Max, χ 2 lim <strong>for</strong> PaC, and P Max, Dev <strong>for</strong> SePaC methods, are discussed.<br />
Efficiency <strong>of</strong> reconstruction <strong>of</strong> fractal dimension D F , number <strong>of</strong> level N lev and P-adic coverage<br />
P is studied. Procedures <strong>for</strong> search <strong>for</strong> optimal values <strong>of</strong> parameters χ 2 lim , P Max,<br />
and Dev <strong>for</strong> determination <strong>of</strong> D F , N lev , and P <strong>for</strong> these methods are developed. The features<br />
<strong>of</strong> PaC and SePaC methods <strong>for</strong> analysis <strong>of</strong> fractals with independent and dependent<br />
partition are noted.<br />
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