A super Ornstein-Uhlenbeck process interacting with its center of mass

DOI10.1214/11-AOP741zbMath1279.60110arXiv1303.4181MaRDI QIDQ1951697

Hardeep S. Gill

Publication date: 24 May 2013

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

Full work available at URL: https://arxiv.org/abs/1303.4181

zbMATH Keywords

law of large numbersOrnstein-Uhlenbeck processsuperprocesscenter of massinteracting measure-valued diffusion process

Mathematics Subject Classification ID

Random measures (60G57) Superprocesses (60J68)

Related Items (1)

On a repulsion-diffusion equation with immigration

Cites Work

• The center of mass for spatial branching processes and an application for self-interaction
• Superprocesses with spatial interactions in a random medium
• Stochastic partial differential equations for some measure-valued diffusions
• The behavior of superprocesses near extinction
• A scaling limit theorem for a class of superdiffusions
• Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions
• Law of large numbers for a class of superdiffusions
• Rates of convergence of stochastically monotone and continuous time Markov models
• On the martingale problem for interactive measure-valued branching diffusions
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