On the concentration and the convergence rate with a moment condition in first passage percolation

DOI10.1016/j.spa.2010.03.001zbMath1195.60128arXiv0808.3021OpenAlexW2093870252MaRDI QIDQ981027

Y. Zhang

Publication date: 8 July 2010

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

Full work available at URL: https://arxiv.org/abs/0808.3021

zbMATH Keywords

convergence ratefirst passage percolationconcentrationa moment condition

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

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Cites Work

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• A note on some rates of convergence in first-passage percolation
• First-passage percolation on the square lattice
• First passage percolation has sublinear distance variance.
• On the speed of convergence for two-dimensional first passage Ising percolation.
• Supercritical behaviors in first-passage percolation
• Concentration of measure and isoperimetric inequalities in product spaces
• The divergence of fluctuations for shape in first passage percolation
• Percolation

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