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Measure-valued diffusions and stochastic equations with Poisson process

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Publication:1763049
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zbMath1065.60108MaRDI QIDQ1763049

Zongfei Fu, Zhenghu Li

Publication date: 18 February 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

superprocessPoisson random measureinteractive immigrationmeasure-valued excursions


Mathematics Subject Classification ID

Diffusion processes (60J60) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (7)

Well-posedness of the martingale problem for super-Brownian motion with interactive branching ⋮ Measure-valued continuous curves and processes in total variation norm ⋮ Construction of immigration superprocesses with dependent spatial motion from one-di\-men\-sion\-al excursions ⋮ Local extinction in continuous-state branching processes with immigration ⋮ Branching processes with immigration and related topics ⋮ Sample paths of continuous-state branching processes with dependent immigration ⋮ Conditional log-Laplace functionals of immigration superprocesses with dependent spatial mo\-tion




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