Left-sided multifractality in a binary random multiplicative cascade

W. G. Hanan*, J. Gough, D. M. Heffernan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)


In this paper we study a binary random multiplicative cascade. Specifically, the cascade is used to produce and study left-sided multifractal random measures. Extensive numerical simulations of the random cascade process were undertaken and
f(α) spectra obtained and compared with the analytical results. We believe that this model and approach can serve as a simple and fundamental tool in the analysis and understanding of physical systems possessing an underlying multiplicative structure.
Original languageEnglish
Article number011109
Pages (from-to)111091-111099
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number1
Publication statusPublished - 27 Dec 2000
Externally publishedYes


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