Extended convergence of the extremal process of branching Brownian motion

DOI10.1214/16-AAP1244zbMath1373.60145arXiv1412.5975MaRDI QIDQ2403141

Anton Bovier, Lisa Hartung

Publication date: 15 September 2017

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5975

zbMATH Keywords

Gaussian processesbranching Brownian motionextremal processesmultiplicative chaoscluster point processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Brownian motion (60J65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations ⋮ Extrema of the Two-Dimensional Discrete Gaussian Free Field ⋮ Extremes of local times for simple random walks on symmetric trees ⋮ Diffusion processes on branching Brownian motion ⋮ Two-temperatures overlap distribution for the 2D discrete Gaussian free field ⋮ Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime ⋮ The overlap distribution at two temperatures for the branching Brownian motion

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