Limiting distribution of particles near the frontier in the catalytic branching Brownian motion

DOI10.1007/s10440-019-00305-wzbMath1470.60235arXiv1903.07090OpenAlexW2998317741WikidataQ126457541 ScholiaQ126457541MaRDI QIDQ2023054

Sergey Bocharov

Publication date: 3 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07090

zbMATH Keywords

branching Brownian motioncatalytic branching

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Fluctuations of the rightmost particle in the catalytic branching Brownian motion ⋮ Limiting distributions for particles near the frontier of spatially inhomogeneous branching Brownian motions ⋮ The extremal process of super-Brownian motion ⋮ Maximal displacement of branching symmetric stable processes

Cites Work

• Unnamed Item
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• Limiting distribution of the rightmost particle in catalytic branching Brownian motion
• Branching Brownian motion seen from its tip
• Structure of population inside propagating front
• The extremal process of branching Brownian motion
• Poissonian statistics in the extremal process of branching Brownian motion
• The many-to-few lemma and multiple spines
• A branching random walk seen from the tip
• Traveling waves in inhomogeneous branching Brownian motions. I
• A super-Brownian motion with a single point catalyst
• Spread of a catalytic branching random walk on a multidimensional lattice
• Spread rate of branching Brownian motions
• A scaling limit theorem for a class of superdiffusions
• Branching Brownian motion with catalytic branching at the origin
• Maximal displacement and population growth for branching Brownian motions
• An ergodic theorem for the extremal process of branching Brownian motion
• The spread of a catalytic branching random walk
• Limit theorems for branching Markov processes
• Exponential growth of the numbers of particles for branching symmetric \(\alpha\)-stable processes
• From Derrida's random energy model to branching random walks: from 1 to 3
• Some limit theorems for a particle system of single point catalytic branching random walks
• Rate of expansion of an inhomogeneous branching process of brownian particles
• A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
• Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime

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