On the boundary of the zero set of super-Brownian motion and its local time

DOI10.1214/18-AIHP952zbMath1434.60234arXiv1802.03681OpenAlexW2986608914MaRDI QIDQ2291974

Yanyan Li

Publication date: 31 January 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03681

zbMATH Keywords

Hausdorff dimensionsuper-Brownian motionzero-one lawstochastic PDE

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Local time and additive functionals (60J55) Hausdorff and packing measures (28A78) Superprocesses (60J68)

Related Items (4)

Clusters in the critical branching Brownian motion ⋮ A boundary local time for one-dimensional super-Brownian motion and applications ⋮ On the coming down from infinity of coalescing Brownian motions ⋮ Equivalence of mean-field avalanches and branching diffusions: from the Brownian force model to the super-Brownian motion

Cites Work

• Super-Brownian motion: Path properties and hitting probabilities
• On the boundary of the support of super-Brownian motion
• Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
• On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
• A very singular solution of the heat equation with absorption
• Polar sets and multiple points for super-Brownian motion
• Initial trace of positive solutions of some nonlinear parabolic equations
• Probability theory. A comprehensive course
• Brownian Motion
• Pathwise nonuniqueness for the SPDEs of some super-Brownian motions with immigration
• Unnamed Item

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