Generalized self-intersection local time for a superprocess over a stochastic flow

DOI10.1214/11-AOP653zbMath1278.60126arXiv1102.2849OpenAlexW3098941692WikidataQ36765391 ScholiaQ36765391MaRDI QIDQ439876

Aaron Heuser

Publication date: 17 August 2012

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

Full work available at URL: https://arxiv.org/abs/1102.2849

zbMATH Keywords

resolventBrownian motiontempered distributionstochastic flowbranchingmartingale problemrapidly decreasing function

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55) Superprocesses (60J68)

Cites Work

• Discontinuous superprocesses with dependent spatial motion
• Local time and Tanaka formulae for super Brownian and super stable processes
• Renormalization and limit theorems for self-intersections of superprocesses
• Superprocesses with dependent spatial motion and general branching densities
• Superprocesses over a stochastic flow
• Self-intersection local time of \((\alpha ,d,\beta )\)-superprocess
• A class of stochastic partial differential equations for interacting superprocesses on a bounded domain
• A limit theorem of branching processes and continuous state branching processes
• The critical measure diffusion process
• A class of measure-valued branching diffusions in a random medium
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