Branching random walks in random environment and super-Brownian motion in random environment

DOI10.1214/14-AIHP620zbMath1329.60358arXiv1304.6140OpenAlexW2192478661MaRDI QIDQ902870

Makoto Nakashima

Publication date: 4 January 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6140

zbMATH Keywords

super-Brownian motionstochastic heat equationrandom environmentsbranching random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (2)

Asymptotic properties for branching random walks with immigration in random environments ⋮ Convergence of complex martingale for a branching random walk in an independent and identically distributed environment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Branching random walks in random environment are diffusive in the regular growth phase
• Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients
• Almost sure central limit theorem for branching random walks in random environment
• A remark on localization for branching random walks in random environment
• Superprocesses in random environments
• Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
• Central limit theorem for branching Brownian motions in random environment
• Central limit theorem for branching random walks in random environment
• Localization for branching Brownian motions in random environment
• Stochastic partial differential equations for some measure-valued diffusions
• One dimensional stochastic partial differential equations and the branching measure diffusion
• The compact support property for solutions to the heat equation with noise
• Stochastic evolution equations and related measure processes
• Distribution function inequalities for martingales
• Weak uniqueness for the heat equation with noise
• Stochastic Burgers and KPZ equations from particle systems
• The Hausdorff measure of the closed support of super-Brownian motion
• The packing measure of the support of super-Brownian motion
• A limit theorem of branching processes and continuous state branching processes
• A Space-Time Property of a Class of Measure-Valued Branching Diffusions
• Historical processes
• Geostochastic calculus
• Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations

This page was built for publication: Branching random walks in random environment and super-Brownian motion in random environment