Optimal local Hölder index for density states of superprocesses with \((1+\beta )\)-branching mechanism

DOI10.1214/09-AOP501zbMath1207.60055arXiv0805.3914MaRDI QIDQ984448

Klaus Fleischmann, Vitali Wachtel, Leonid Mytnik

Publication date: 19 July 2010

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3914

zbMATH Keywords

Hausdorff dimensionHölder continuitycritical indexmultifractal spectrumoptimal exponentlocal unboundednessdichotomy for density of superprocess

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (10)

Uniqueness problem for SPDEs from population models ⋮ The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE ⋮ Maximum likelihood type estimation for discretely observed CIR model with small \(\alpha\)-stable noises ⋮ Critical parameters for reaction-diffusion equations involving space-time fractional derivatives ⋮ Multifractal analysis of superprocesses with stable branching in dimension one ⋮ Hölder index at a given point for density states of super-\(\alpha \)-stable motion of index \(1+\beta \) ⋮ Regularity of the density for the total weighted occupation measure of super-Brownain motion ⋮ Path Properties of Dilatively Stable Processes and Singularity of Their Distributions ⋮ Existence and pathwise uniqueness to an SPDE driven by \(\alpha\)-stable colored noise ⋮ Absolute continuity of the super-Brownian motion with infinite mean

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