Multifractal analysis of superprocesses with stable branching in dimension one

Leonid Mytnik; Vitali Wachtel

doi:10.1214/14-AOP951

Multifractal analysis of superprocesses with stable branching in dimension one

Probability 2015-11-18 v2

Authors: Leonid Mytnik , Vitali Wachtel

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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.

Keywords

superprocesses stable branching multifractal analysis density functions spectrum of singularities dimension one

Cite

@article{arxiv.1212.0340,
  title  = {Multifractal analysis of superprocesses with stable branching in dimension one},
  author = {Leonid Mytnik and Vitali Wachtel},
  journal= {arXiv preprint arXiv:1212.0340},
  year   = {2015}
}

Comments

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)

Multifractal analysis of superprocesses with stable branching in dimension one

Abstract

Keywords

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