A conceptual approach to a path result for branching Brownian motion

DOI10.1016/j.spa.2006.05.010zbMath1114.60065OpenAlexW2013921642MaRDI QIDQ860712

Simon C. Harris, Robert J. Hardy

Publication date: 9 January 2007

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.05.010

zbMATH Keywords

branching processesBrownian motionsize-biased measuresbranching Brownian motionspine decompositionSchilder's theorempath large deviations

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

Related Items

Dynamics of lineages in adaptation to a gradual environmental change, Martingales and rates of presence in homogeneous fragmentations, The unscaled paths of branching Brownian motion, Exponential growth rates in a typed branching diffusion, Diffusion processes on branching Brownian motion, Strong law of large numbers for branching diffusions, Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential, Number of particles absorbed in a BBM on the extinction event, A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales

Cites Work

• Arbres et processus de Bellman-Harris. (Trees and Bellman-Harris processes)
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• Product martingales and stopping lines for branching Brownian motion
• Some large-deviation theorems for branching diffusions
• Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris' probabilistic analysis.
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Supercritical Branching Brownian Motion and K-P-P Equation In the Critical Speed-Area
• A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
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