Quenched law of large numbers for branching Brownian motion in a random medium

DOI10.1214/07-AIHP155zbMath1181.60152arXiv0806.2512MaRDI QIDQ731683

János Engländer

Publication date: 8 October 2009

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/0806.2512

zbMATH Keywords

random environmentbranching Brownian motionPoissonian obstaclesfecundity selectionradial speedrandom KPP equationwavefronts in random medium

Mathematics Subject Classification ID

Brownian motion (60J65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Survival of branching Brownian motion in a uniform trap field ⋮ Branching Brownian motion in an expanding ball and application to the mild obstacle problem ⋮ Escape probabilities for branching Brownian motion among soft obstacles ⋮ Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models ⋮ Refined Large Deviation Principle for Branching Brownian Motion Conditioned to Have a Low Maximum ⋮ Quenched convergence of a sequence of superprocesses in \(\mathbb R^d\) among Poissonian obstacles ⋮ Optimal survival strategy for branching Brownian motion in a Poissonian trap field ⋮ Critical branching random walk in an IID environment

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