The near-critical Gibbs measure of the branching random walk

DOI10.1214/17-AIHP850zbMath1404.60127arXiv1703.09792WikidataQ129535187 ScholiaQ129535187MaRDI QIDQ1621718

Michel Pain

Publication date: 9 November 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09792

zbMATH Keywords

trajectoriesphase transitionbranching random walkadditive martingale

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Efficient approximation of branching random walk Gibbs measures ⋮ A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption ⋮ Genealogy of the extremal process of the branching random walk ⋮ On the trajectory of an individual chosen according to supercritical Gibbs measure in the branching random walk ⋮ 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale ⋮ Anomalous spreading in reducible multitype branching Brownian motion ⋮ Correction terms for the height of weighted recursive trees ⋮ Late levels of nested occupancy scheme in random environment

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