Multifractal analysis of complex random cascades

Julien Barral, Xiong Jin

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


We achieve the multifractal analysis of a class of complex valued statistically self-similar continuous functions. For we use multifractal formalisms associated with pointwise oscillation exponents of all orders. Our study exhibits new phenomena in multifractal analysis of continuous functions. In particular, we find examples of statistically self-similar such functions obeying the multifractal formalism and for which the support of the singularity spectrum is the whole interval [0, ∞].
Original languageEnglish
Pages (from-to)129-168
Number of pages40
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - 2010


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