Multifractal analysis of superprocesses with stable branching in dimension one

Abstract

We show that density functions of a $(\alpha ,1,\beta )$-superprocesses are almost sure multifractal for $\alpha >\beta +1$, $\beta \in (0,1)$ and calculate the corresponding spectrum of singularities.

Published at http://dx.doi.org/10.1214/14-AOP951 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (2)

• The multifractal spectrum of Brownian intersection local times
• Optimal local Hölder index for density states of superprocesses with $(1+\beta )$-branching mechanism

Cited by in corpus (1)

• Equivalence of mean-field avalanches and branching diffusions: From the Brownian force model to the super-Brownian motion