On the intersection local time of super brownian motion

DOI10.1080/17442509908834210zbMath0945.60070OpenAlexW1990125989MaRDI QIDQ4719383

Nhansook Cho

Publication date: 3 October 2000

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442509908834210

zbMATH Keywords

super-Brownian motionlocal timemartingale measurestochastic integralparticle picture

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17) Local time and additive functionals (60J55) (L^p)-limit theorems (60F25)

Cites Work

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• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• A weighted occupation time for a class of measure-valued branching processes
• High density limit theorems for infinite systems of unscaled branching Brownian motions
• Intersection local times for infinite systems of Brownian motions and for the Brownian density process
• Weak limit theorems for stochastic integrals and stochastic differential equations
• Local time and Tanaka formulae for super Brownian and super stable processes
• A representation for functionals of superprocesses via particle picture
• Weak convergence of stochastic integrals driven by martingale measure