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arXiv · 1212.0340

Multifractal analysis of superprocesses with stable branching in dimension one

Leonid Mytnik·Vitali Wachtel
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Abstract

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

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Leonid Mytnik, Vitali Wachtel. 2015-11-17. Multifractal analysis of superprocesses with stable branching in dimension one. https://doi.org/10.1214/14-aop951

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