Limiting geodesics for first-passage percolation on subsets of \(\mathbb{Z}^{2}\)
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Publication:2258535
DOI10.1214/13-AAP999zbMath1308.60106arXiv1302.5413OpenAlexW2000894678MaRDI QIDQ2258535
Antonio Auffinger, Jack Hanson, Michael Damron
Publication date: 26 February 2015
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5413
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Geodesics in global differential geometry (53C22)
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Cites Work
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- Some limit theorems for percolation processes with necessary and sufficient conditions
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- Coexistence for Richardson type competing spatial growth models
- Coexistence in two-type first-passage percolation models
- First passage percolation: the stationary case
- Divergence of shape fluctuations in two dimensions
- Geodesics in two-dimensional first-passage percolation
- Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
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- Percolation
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- Inequalities for Means of Restricted First-Passage Times in Percolation Theory
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