Higher moments for random multiplicative measures

Kenneth J. Falconer

doi:10.4171/jfg/20

JournalsjfgVol. 2, No. 3pp. 229–247

Higher moments for random multiplicative measures

Kenneth J. Falconer
University of St Andrews, Great Britain

Download PDF

Abstract

We obtain a condition for the $L^{q}$ -convergence of martingales generated by random multiplicative cascade measures for $q > 1$ without any self-similarity requirements on the cascades.

Cite this article

Kenneth J. Falconer, Higher moments for random multiplicative measures. J. Fractal Geom. 2 (2015), no. 3, pp. 229–247

DOI 10.4171/JFG/20