Geodesics in first passage percolation

DOI10.1214/07-AAP510zbMath1153.60055arXivmath/0508114OpenAlexW2015533295MaRDI QIDQ957526

Christopher Hoffmann

Publication date: 27 November 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508114

zbMATH Keywords

First passage percolationRichardson's growth model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

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Cites Work

• On the speed of convergence in first-passage percolation
• The shape of the limit set in Richardson's growth model
• Some limit theorems for percolation processes with necessary and sufficient conditions
• First passage percolation has sublinear distance variance.
• Transversal fluctuations for increasing subsequences on the plane
• Coexistence for Richardson type competing spatial growth models
• Coexistence in two-type first-passage percolation models
• First passage percolation: the stationary case
• Asymptotic shapes for stationary first passage percolation
• First passage percolation and a model for competing spatial growth
• On Increasing Subsequences of I.I.D. Samples
• On the distribution of the length of the longest increasing subsequence of random permutations
• Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
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