Branching Brownian motion in a strip: survival near criticality
From MaRDI portal
Publication:272951
DOI10.1214/14-AOP972zbMath1342.60149arXiv1212.1444MaRDI QIDQ272951
Andreas E. Kyprianou, Simon C. Harris, Marion Hesse
Publication date: 21 April 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1444
large deviationsadditive martingalebackbone decompositionbranching Brownian motionmultiplicative martingalenear-critical processquasi-stationary limit
Brownian motion (60J65) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (9)
The coalescent structure of continuous-time Galton-Watson trees ⋮ Many-to-few for non-local branching Markov process ⋮ Branching Brownian motion in an expanding ball and application to the mild obstacle problem ⋮ Spine for interacting populations and sampling ⋮ The strong Malthusian behavior of growth-fragmentation processes ⋮ Sweetest taboo processes ⋮ An invariance principle for branching diffusions in bounded domains ⋮ Stochastic methods for the neutron transport equation. II: Almost sure growth ⋮ Skeletal stochastic differential equations for continuous-state branching processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The unscaled paths of branching Brownian motion
- Supercritical super-Brownian motion with a general branching mechanism and travelling waves
- The prolific backbone for supercritical superprocesses
- Survival of near-critical branching Brownian motion
- \(\mathbb{N}\)-measures for branching exit Markov systems and their applications to differential equations
- Branching particle systems and superprocesses
- Strong law of large numbers for branching diffusions
- KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees
- Product martingales and stopping lines for branching Brownian motion
- Branching Brownian motion with absorption
- Extinction of superdiffusions and semilinear partial differential equations
- Seneta-Heyde norming in the branching random walk
- Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris' probabilistic analysis.
- Trimmed trees and embedded particle systems.
- Local extinction versus local exponential growth for spatial branching processes.
- Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
- The genealogy of branching Brownian motion with absorption
- The compact support property for measure-valued processes
- Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: one sided travelling-waves
- Introductory lectures on fluctuations of Lévy processes with applications.
- Growth of Lévy trees
- On Prolific Individuals in a Supercritical Continuous-State Branching Process
- A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
- Two representations of a conditioned superprocess
- Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess
- A decomposition of the (1 + β)-superprocess conditioned on survival
- Algebra, analysis and probability for a coupled system of reaction-duffusion equations
- L Log L Criterion for a Class of Superdiffusions
- Brownian Local Times and Taboo Processes
- An introduction to the theory of large deviations
This page was built for publication: Branching Brownian motion in a strip: survival near criticality
