Branching diffusions, superdiffusions and random media

DOI10.1214/07-PS120zbMath1189.60143arXiv0710.0236MaRDI QIDQ980770

János Engländer

Publication date: 29 June 2010

Published in: Probability Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0236

zbMATH Keywords

law of large numbersrandom mediarandom environmentspine decompositioncatalytic branchinglocal extinctionmeasure-valued processessecond order elliptic operatorscompact support propertysuperprocessesspatial branching processesbranching diffusionscriticality theorymild obstaclesnonlinear h-transform

Mathematics Subject Classification ID

Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (10)

Survival of branching Brownian motion in a uniform trap field ⋮ On laws of large numbers in \(L^2\) for supercritical branching Markov processes beyond \(\lambda \)-positivity ⋮ Spines, skeletons and the strong law of large numbers for superdiffusions ⋮ Tumor growth, \(R\)-positivity, multitype branching and quasistationarity ⋮ Branching Brownian motion in an expanding ball and application to the mild obstacle problem ⋮ Escape probabilities for branching Brownian motion among soft obstacles ⋮ Strong law of large numbers for branching diffusions ⋮ Large deviations for local mass of branching Brownian motion ⋮ Optimal survival strategy for branching Brownian motion in a Poissonian trap field ⋮ A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales

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