Coexistence in two-type first-passage percolation models
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Publication:1774221
DOI10.1214/105051604000000503zbMath1080.60092arXivmath/0312369OpenAlexW2952344639MaRDI QIDQ1774221
Olivier Garet, Régine Marchand
Publication date: 29 April 2005
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0312369
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
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Cites Work
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- Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability
- First passage percolation: the stationary case
- First passage percolation and a model for competing spatial growth
- Percolation
- Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
- The Initial Configuration is Irrelevant for the Possibility of Mutual Unbounded Growth in the Two-Type Richardson Model
