Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential

DOI10.1016/j.spa.2014.12.008zbMath1328.60193arXiv1203.0513OpenAlexW2065917584MaRDI QIDQ2018572

Matthew I. Roberts, Éric Brunet, Simon C. Harris, John W. Harris, Julien Berestycki

Publication date: 24 March 2015

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

Full work available at URL: https://arxiv.org/abs/1203.0513

zbMATH Keywords

growth ratelarge deviationsbranching Brownian motioninhomogeneous breeding

Mathematics Subject Classification ID

Brownian motion (60J65) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (9)

Branching Random Walk in an Inhomogeneous Breeding Potential ⋮ Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model ⋮ Super-linear spreading in local bistable cane toads equations ⋮ Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ The strong Malthusian behavior of growth-fragmentation processes ⋮ Unnamed Item ⋮ Superdiffusions with super-exponential growth: construction, mass and spread ⋮ A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The logarithmic delay of KPP fronts in a periodic medium
• Convergence in law of the minimum of a branching random walk
• Branching Brownian motion seen from its tip
• A simple path to asymptotics for the frontier of a branching Brownian motion
• The unscaled paths of branching Brownian motion
• Branching random walks in time inhomogeneous environments
• Travelling waves in inhomogeneous branching Brownian motions. II
• Slowdown for time inhomogeneous branching Brownian motion
• Intermittency for branching random walk in Pareto environment
• Branching Brownian motion with an inhomogeneous breeding potential
• A conceptual approach to a path result for branching Brownian motion
• The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential
• Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
• Traveling waves in inhomogeneous branching Brownian motions. I
• Some large-deviation theorems for branching diffusions
• Front propagation into unstable states
• A short proof of the logarithmic Bramson correction in Fisher-KPP equations
• Exponential growth rates in a typed branching diffusion
• The extremal process of two-speed branching Brownian motion
• Branching Brownian Motion: Almost Sure Growth Along Scaled Paths
• Genealogy of extremal particles of branching Brownian motion
• Branching Processes in a Random Environment and Bottlenecks in the Evolution of Populations
• A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Maximal displacement of branching brownian motion

This page was built for publication: Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential