Branching random walks in random environment are diffusive in the regular growth phase

DOI10.1214/EJP.v16-922zbMath1244.60100OpenAlexW2131273412MaRDI QIDQ428517

Nakashima Makoto, Hadrian Heil, Yoshida Nobuo

Publication date: 22 June 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ejp.v16-922

zbMATH Keywords

central limit theoreminvariance principlerandom environmentbranching random walkdiffusivity

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model ⋮ Branching random walks in random environment and super-Brownian motion in random environment

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