Rate of convergence in first-passage percolation under low moments

DOI10.1016/j.spa.2016.04.001zbMath1375.60135arXiv1406.3105OpenAlexW2342483568MaRDI QIDQ311990

Michael Damron, Naoki Kubota

Publication date: 13 September 2016

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

Full work available at URL: https://arxiv.org/abs/1406.3105

zbMATH Keywords

rate of convergenceconcentration inequalitiesfirst-passage percolationlow moments

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Related Items (6)

Divergence of non-random fluctuation for Euclidean first-passage percolation ⋮ Rate of convergence in first-passage percolation under low moments ⋮ Speed of convergence in first passage percolation and geodesicity of the average distance ⋮ Fluctuation lower bounds in planar random growth models ⋮ Random growth models: Shape and convergence rate ⋮ Divergence of non-random fluctuation in first passage percolation

Cites Work

• Unnamed Item
• Unnamed Item
• Rate of convergence in first-passage percolation under low moments
• Central limit theorem for first-passage percolation time across thin cylinders
• Subgaussian concentration and rates of convergence in directed polymers
• On the speed of convergence in first-passage percolation
• Exponential concentration for first passage percolation through modified Poincaré inequalities
• Sublinear variance in first-passage percolation for general distributions
• On the concentration and the convergence rate with a moment condition in first passage percolation
• Some limit theorems for percolation processes with necessary and sufficient conditions
• Approximation of subadditive functions and convergence rates in limiting-shape results
• On rates of convergence for common subsequences and first passage time
• Concentration of measure and isoperimetric inequalities in product spaces
• Differentiability at the edge of the percolation cone and related results in first-passage percolation
• A Hsu-Robbins-Erdős strong law in first-passage percolation
• Subdiffusive concentration in first passage percolation
• Upper bounds on the non-random fluctuations in first passage percolation with low moment conditions

This page was built for publication: Rate of convergence in first-passage percolation under low moments