Rate of convergence of the mean for sub-additive ergodic sequences

DOI10.1016/j.aim.2015.07.028zbMath1334.60047arXiv1408.4444OpenAlexW2963128439MaRDI QIDQ887301

Michael Damron, Jack Hanson, Antonio Auffinger

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4444

zbMATH Keywords

convergence ratedirected polymersweak dependencebranching random walkfirst-passage percolationsub-additive ergodic processes

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Related Items (9)

Divergence of non-random fluctuation for Euclidean first-passage percolation ⋮ Fluctuations of transverse increments in two-dimensional first passage percolation ⋮ Localization for random walks among random obstacles in a single Euclidean ball ⋮ Lower bounds for fluctuations in first-passage percolation for general distributions ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Harry Kesten's work in probability theory ⋮ Random growth models: Shape and convergence rate ⋮ A general method for lower bounds on fluctuations of random variables ⋮ Divergence of non-random fluctuation in first passage percolation

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