On the speed of convergence for two-dimensional first passage Ising percolation.

DOI10.1214/aop/1019160122zbMath1044.60093OpenAlexW2077352658MaRDI QIDQ1872513

Yasunari Higuchi, Y. Zhang

Publication date: 6 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1019160122

zbMATH Keywords

Ising modelfirst passage percolationspeed of convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (2)

Sublinearity of the travel-time variance for dependent first-passage percolation ⋮ On the concentration and the convergence rate with a moment condition in first passage percolation

Cites Work

• A central limit theorem for ``critical first-passage percolation in two dimensions
• On the speed of convergence in first-passage percolation
• Critical behavior of the two-dimensional first passage time
• A note on some rates of convergence in first-passage percolation
• First passage percolation for random colorings of \(\mathbb{Z}^ d\)
• A sharp transition for the two-dimensional Ising percolation
• For 2-D lattice spin systems weak mixing implies strong mixing
• On rates of convergence for common subsequences and first passage time
• Complete analyticity for 2D Ising completed
• Supercritical behaviors in first-passage percolation
• Concentration of measure and isoperimetric inequalities in product spaces
• Probability with Martingales
• The density of interfaces: a new first-passage problem
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