Asymptotics for \(2D\) critical first passage percolation
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Publication:1681596
DOI10.1214/16-AOP1129zbMath1378.60115arXiv1505.07544OpenAlexW2964138760MaRDI QIDQ1681596
Michael Damron, Wai-Kit Lam, Xu An Wang
Publication date: 24 November 2017
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.07544
central limit theoremcorrelation lengthinvasion percolationcritical percolationfirst passage percolation
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items (13)
The size of the boundary in first-passage percolation ⋮ Lower bounds for fluctuations in first-passage percolation for general distributions ⋮ Universality of the time constant for \(2D\) critical first-passage percolation ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Transitions for exceptional times in dynamical first-passage percolation ⋮ Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics ⋮ Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation ⋮ Non-optimality of invaded geodesics in 2d critical first-passage percolation ⋮ Critical first-passage percolation starting on the boundary ⋮ Fluctuation lower bounds in planar random growth models ⋮ Harry Kesten's work in probability theory ⋮ Infinite paths on a random environment of \({\mathbb{Z}}^2\) with bounded and recurrent sums ⋮ Asymptotics for 2D critical and near-critical first-passage percolation
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