Some results on multifractal correlations

Sung Jong Lee and Thomas C. Halsey

Physica A: Statistical Mechanics and its Applications, 1990, vol. 164, issue 3, 575-592

Abstract: We have performed a numerical and analytical study of multifractal correlations in a two-scale random Cantor set. At large distances, for |α - ”’| not very large, we find qualitative agreement between canonical simulation results (also counting results) and the formula recently proposed by Meneveau and Chhabra, following work of Cates and Deutsch. For |α - α’| large, a new correlation scaling function ƒ̃(α, α’, ω) which is linear in log(r) is obtained due to a transition of the moment-scaling function from Cates and Deutsch behavior to a differing behavior for some part of its domain. This linear ƒ̃(α, α’, ω) is consistent with numerical results.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:164:y:1990:i:3:p:575-592

DOI: 10.1016/0378-4371(90)90224-G

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