The spread speed of multiple catalytic branching random walks

DOI10.1007/s10255-023-1046-7zbMath1516.60053OpenAlexW4366401650MaRDI QIDQ6100421

Rong Li Liu

Publication date: 12 May 2023

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-023-1046-7

zbMATH Keywords

invariant measurespine decompositionmartingale change of measurecatalytic branching random walk

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence in law of the minimum of a branching random walk
• Branching random walks. École d'Été de Probabilités de Saint-Flour XLII -- 2012
• The many-to-few lemma and multiple spines
• Weak convergence for the minimal position in a branching random walk: a simple proof
• Spread of a catalytic branching random walk on a multidimensional lattice
• Large deviations for the maximum of a branching random walk
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• The growth and spread of the general branching random walk
• Maximum of catalytic branching random walk with regularly varying tails
• Branching Brownian motion with catalytic branching at the origin
• Supercritical branching Brownian motion with catalytic branching at the origin
• Maximal displacement and population growth for branching Brownian motions
• The spread of a catalytic branching random walk
• On systems of renewal equations: The reducible case
• On systems of renewal equations
• Catalytic Branching Processes via Spine Techniques and Renewal Theory
• Catalytic branching random walks in ℤ d with branching at the origin
• Complete Classification of Catalytic Branching Processes
• Asymptotics of branching symmetric random walk on the lattice with a single source
• Branching Random Walks With Several Sources^*
• Extremes of multitype branching random walks: heaviest tail wins
• Branching Brownian motion with spatially homogeneous and point-catalytic branching

This page was built for publication: The spread speed of multiple catalytic branching random walks