The demographic variation process of branching random fields

DOI10.1016/0047-259X(88)90047-4zbMath0657.60051OpenAlexW2038469212MaRDI QIDQ1110902

Louis G. Gorostiza

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(88)90047-4

zbMATH Keywords

functional central limit theoremmeasure-valued processgeneralized Langevin equationbranching random field with immigrationgeneralized Gaussian processesgeneralized Ornstein-Uhlenbeck processes

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (4)

The demographic variation process of multitype branching random fields ⋮ Stability of a class of transformations of distribution-valued processes and stochastic evolution equations ⋮ Some long-range dependence processes arising from fluctuations of particle systems ⋮ Generalized solutions of a class of nuclear-space-valued stochastic evolution equations

Cites Work

• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• High density limit theorems for infinite systems of unscaled branching Brownian motions
• Langevin equations for S'-valued Gaussian processes and fluctuation limits of infinite particle systems
• Stochastic evolution equations driven by nuclear-space-valued martingales
• On the connection between ordinary and generalized stochastic processes
• Central limit phenomena of various interacting systems
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• On the sample continuity of S'-processes
• The branching diffusion with immigration
• The branching random field
• On the norm continuity of -valued Gaussian processes
• On -convergence of Markov chains
• Limit theorems for the motion of a Poisson system of independent Markovian particles with high density
• The critical measure diffusion process
• Convergence cylindrique et convergence étroite d'une suite de probabilités de Radon
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The demographic variation process of branching random fields