Some local approximations of Dawson-Watanabe superprocesses

DOI10.1214/07-AOP386zbMath1167.60010arXiv0901.2840MaRDI QIDQ2519680

Olav Kallenberg

Publication date: 27 January 2009

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

Full work available at URL: https://arxiv.org/abs/0901.2840

zbMATH Keywords

self-similaritysuper-Brownian motionhitting probabilitieslocal extinctionPalm distributionsmeasure-valued branching diffusionslocal distributionshistorical clustersmoment densitiesneighborhood measures

Mathematics Subject Classification ID

Diffusion processes (60J60) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Local conditioning in Dawson-Watanabe superprocesses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super-Brownian motion: Path properties and hitting probabilities
• Some local approximation properties of simple point processes
• Some problems of local hitting, scaling, and conditioning
• Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion)
• Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution
• Small scale limit theorems for the intersection local times of Brownian motion
• Some properties of the range of super-Brownian motion
• Clustering and invariant measures for spatial branching models with infinite variance
• Ergodicity of critical spatial branching processes in low dimensions
• A representation for super Brownian motion
• Palm distributions and local approximation of regenerative processes
• Local hitting and conditioning in symmetric interval partitions.
• Historical processes
• The critical measure diffusion process
• An Introduction to Branching Measure-Valued Processes
• An Intrinsic Description of Local Time
• Probabilistic Symmetries and Invariance Principles
• The Point Spectrum and Spectral Geometry for R<scp>iemann</scp>ian Manifolds with Cusps
• On the supports of measure-valued critical branching Brownian motion
• The average density of super-Brownian motion

This page was built for publication: Some local approximations of Dawson-Watanabe superprocesses