A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate

DOI10.1214/21-EJP673zbMath1497.60120arXiv2006.10798OpenAlexW3182080187MaRDI QIDQ2243930

Matthew I. Roberts, Jason Ross Schweinsberg

Publication date: 11 November 2021

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

Full work available at URL: https://arxiv.org/abs/2006.10798

zbMATH Keywords

evolutionfitnessbranching Brownian motionGaussian traveling wave

Mathematics Subject Classification ID

Problems related to evolution (92D15) Brownian motion (60J65) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

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• Slowdown in branching Brownian motion with inhomogeneous variance
• Speed and fluctuations of \(N\)-particle branching Brownian motion with spatial selection
• Upper bound on the rate of adaptation in an asexual population
• Rigorous results for a population model with selection. I: Evolution of the fitness distribution
• Traveling waves of selective sweeps
• The traveling-wave approach to asexual evolution: Muller's ratchet and speed of adaptation
• Branching Brownian motion with an inhomogeneous breeding potential
• Fluctuations in fitness distributions and the effects of weak linked selection on sequence evolution
• Critical branching Brownian motion with absorption: particle configurations
• The speed of evolution in large asexual populations
• Asymptotic behavior of the rate of adaptation
• The infinitesimal model: definition, derivation, and implications
• The genealogy of branching Brownian motion with absorption
• Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential
• Hydrodynamics of the \(N\)-BBM process
• Branching Markov processes. III
• Asexual evolution waves: fluctuations and universality
• A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
• On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
• F-KPP Scaling limit and selection principle for a Brunet-Derrida type particle system

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