Traveling waves in inhomogeneous branching Brownian motions. I

DOI10.1214/aop/1176991677zbMath0658.60113OpenAlexW2082615414MaRDI QIDQ1111250

Thomas M. Sellke, Steven P. Lalley

Publication date: 1988

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991677

zbMATH Keywords

eigenvalue problemtraveling wavebranching Brownian motionpositive martingale

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (13)

Fluctuations of the rightmost particle in the catalytic branching Brownian motion ⋮ Limit Theorem for the Spread of Branching Diffusion with Stabilizing Drift ⋮ Spread rate of branching Brownian motions ⋮ Global Limit Theorem for Parabolic Equations with a Potential ⋮ Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model ⋮ Limiting distributions for particles near the frontier of spatially inhomogeneous branching Brownian motions ⋮ Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential ⋮ Limiting distribution of particles near the frontier in the catalytic branching Brownian motion ⋮ The extremal process of super-Brownian motion ⋮ Limiting distributions for the maximal displacement of branching Brownian motions ⋮ Maximal displacement and population growth for branching Brownian motions ⋮ Population growth in random media. II: Wavefront propagation ⋮ Maximal displacement of branching symmetric stable processes

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