Escape probabilities for branching Brownian motion among soft obstacles

DOI10.1007/s10959-011-0343-xzbMath1254.60097arXiv1003.3726OpenAlexW2012590182MaRDI QIDQ430982

Jean-François Le Gall, Amandine Véber

Publication date: 26 June 2012

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

Full work available at URL: https://arxiv.org/abs/1003.3726

zbMATH Keywords

homogenizationsuper-Brownian motionescape probabilitybranching Brownian motionPoissonian obstaclessemilinear partial differential equation

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (3)

Survival of branching Brownian motion in a uniform trap field ⋮ Branching Brownian motion in an expanding ball and application to the mild obstacle problem ⋮ Optimal survival strategy for branching Brownian motion in a Poissonian trap field

Cites Work

• Superprocesses and partial differential equations
• Quenched law of large numbers for branching Brownian motion in a random medium
• A probabilistic approach to one class of nonlinear differential equations
• Random trees and applications
• Branching diffusions, superdiffusions and random media
• Product martingales and stopping lines for branching Brownian motion
• Quenched convergence of a sequence of superprocesses in \(\mathbb R^d\) among Poissonian obstacles
• Maximum geographic range of a mutant allele considered as a subtype of a Brownian branching random field
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