Travelling-waves for the FKPP equation via probabilistic arguments
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Publication:4260303
DOI10.1017/S030821050002148XzbMath0946.35040MaRDI QIDQ4260303
Publication date: 8 October 2000
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
martingalebranching Brownian motionFisher-Kolmogorov-Petrowski-Piscounov reaction-diffusion equation
Reaction-diffusion equations (35K57) Brownian motion (60J65) Martingales with continuous parameter (60G44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)
Related Items (27)
Measure change in multitype branching ⋮ One-sided FKPP travelling waves for homogeneous fragmentation processes ⋮ Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free field ⋮ Branching Brownian motion seen from its tip ⋮ A simple path to asymptotics for the frontier of a branching Brownian motion ⋮ The extremal process of branching Brownian motion ⋮ Extreme values for two-dimensional discrete Gaussian free field ⋮ Invasions slow down or collapse in the presence of reactive boundaries ⋮ Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves ⋮ Branching Brownian motion in a periodic environment and existence of pulsating traveling waves ⋮ Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\) ⋮ The genealogy of branching Brownian motion with absorption ⋮ Supercritical super-Brownian motion with a general branching mechanism and travelling waves ⋮ Poissonian statistics in the extremal process of branching Brownian motion ⋮ Traveling waves and homogeneous fragmentation ⋮ The Seneta-Heyde scaling for the branching random walk ⋮ Front propagation and quasi-stationary distributions for one-dimensional Lévy processes ⋮ Exact asymptotics of the freezing transition of a logarithmically correlated random energy model ⋮ Exponential growth rates in a typed branching diffusion ⋮ Multitype Branching Brownian Motion and Traveling Waves ⋮ Refined Large Deviation Principle for Branching Brownian Motion Conditioned to Have a Low Maximum ⋮ A survey of max-type recursive distributional equations ⋮ Asymptotic behavior of branching diffusion processes in periodic media ⋮ The extremal process of super-Brownian motion ⋮ The dimension of the boundary of super-Brownian motion ⋮ Genealogy of extremal particles of branching Brownian motion ⋮ A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
Cites Work
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- Uniform convergence of martingales in the branching random walk
- Functional Integration and Partial Differential Equations. (AM-109)
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- A correction to: Application of Brownian motion to the equation of Kolmagorov-Petrovski-Piskonov
- Martingale convergence in the branching random walk
- Maximal displacement of branching brownian motion
- Growth rates in the branching random walk
- Approximate travelling waves for generalized KPP equations and classical mechanics
- Algebra, analysis and probability for a coupled system of reaction-duffusion equations
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