Multifractal analysis of superprocesses with stable branching in dimension one

DOI10.1214/14-AOP951zbMath1332.60122arXiv1508.02081MaRDI QIDQ888542

Vitali Wachtel, Leonid Mytnik

Publication date: 30 October 2015

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

Full work available at URL: https://arxiv.org/abs/1508.02081

zbMATH Keywords

Hausdorff dimensionHölder continuitymultifractal spectrummartingale decompositiontransition kernelsuperprocesses\(\alpha\)-stable motionoptimal Hölder indexstable branching

Mathematics Subject Classification ID

Random measures (60G57) Fractals (28A80) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (8)

Multifractality of jump diffusion processes ⋮ Uniqueness problem for SPDEs from population models ⋮ The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE ⋮ Existence and pathwise uniqueness to an SPDE driven by \(\alpha\)-stable colored noise ⋮ The multifractal nature of Volterra-Lévy processes ⋮ Stochastic partial differential equations with gradient driven by space-time fractional noises ⋮ Absolute continuity of the super-Brownian motion with infinite mean ⋮ Equivalence of mean-field avalanches and branching diffusions: from the Brownian force model to the super-Brownian motion

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