Multifractal analysis of superprocesses with stable branching in dimension one

Citation
Mytnik, Leonid et Wachtel, Vitali, Multifractal analysis of superprocesses with stable branching in dimension one, Annals of probability (Online) , 43(5), 2015, pp. 2763-2809
ISSN journal
2168894X
Volume
43
Issue
5
Year of publication
2015
Pages
2763 - 2809
Database
ACNP
SICI code
Abstract
We show that density functions of a (.,1,.)-superprocesses are almost sure multifractal for .>.+1, ..(0,1) and calculate the corresponding spectrum of singularities.