Precise estimates of presence probabilities in the branching random walk

DOI10.1016/0304-4149(93)90036-4zbMath0773.60084OpenAlexW1988640029MaRDI QIDQ1208929

Alain Rouault

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0304-4149(93)90036-4

zbMATH Keywords

point processFeynman-Kac formulabranching random walkbranching Brownian motionlarge deviations techniques

Mathematics Subject Classification ID

Large deviations (60F10) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Large deviation estimates for branching random walks ⋮ Large deviations for the maximum of a branching random walk with stretched exponential tails ⋮ Large deviations for the maximum of a branching random walk ⋮ On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails ⋮ Martingales and rates of presence in homogeneous fragmentations ⋮ Lower deviation probabilities for level sets of the branching random walk ⋮ Moderate deviation probabilities for empirical distribution of the branching random walk ⋮ Spreading speeds in reducible multitype branching random walk ⋮ Lower deviation and moderate deviation probabilities for maximum of a branching random walk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Travelling waves in inhomogeneous branching Brownian motions. II
• Arbres et processus de Bellman-Harris. (Trees and Bellman-Harris processes)
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• Probabilités de présence dans un processus de branchement spatial markovien. (Presence probability in a spatial Markov branching process)
• KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees
• Growing conditioned trees
• Uniform convergence of martingales in the branching random walk
• On Deviations of the Sample Mean
• Chernoff's theorem in the branching random walk
• Growth rates in the branching random walk
• On Palm probabilities

This page was built for publication: Precise estimates of presence probabilities in the branching random walk