High density limit theorems for infinite systems of unscaled branching Brownian motions
From MaRDI portal
Publication:1054390
DOI10.1214/aop/1176993603zbMath0519.60085OpenAlexW2039926875MaRDI QIDQ1054390
Publication date: 1983
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993603
Random fields (60G60) Generalized stochastic processes (60G20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)
Related Items
Langevin equations for S'-valued Gaussian processes and fluctuation limits of infinite particle systems, Linear parabolic differential equations as limits of space-time jump Markov processes, High density limit theorems for nonlinear chemical reactions with diffusion, The girsanov theorem and weak solutions of stochastic differential equations in the dual of a nuclear space, Limit theorems for supercritical branching random fields with immigration, The demographic variation process of branching random fields, Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples, The anticipative Stratonovich integral in conuclear spaces, PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN ${\mathcal S}' ({\mathbb R}^d)$, Inhomogenous infinite dimensional langevin equations, Particle picture interpretation of some Gaussian processes related to fractional Brownian motion, Fluctuation limits of multitype branching random fields, Stability of a class of transformations of distribution-valued processes and stochastic evolution equations, Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\), Sub-fractional Brownian motion and its relation to occupation times, Unscaled spatial branging process with interaction: macrospic equation and local equilibrium, Ito stochastic integral in the dual of a nuclear space, Domains of attraction for semi-martingales taking values in the tempered distributions space, Generalized solutions of a class of nuclear-space-valued stochastic evolution equations, Stochastic integration for inhomogeneous Wiener process in the dual of a nuclear space, On the intersection local time of super brownian motion, Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions, Convergence of \({\mathcal S}'\)-valued processes and space-time random fields
