Coexistence probability in the last passage percolation model is $6-8log2$
Coexistence probability in the last passage percolation model is $6-8log2$
复制标题
最后一段渗透模型中的共存概率为 $6-8log2$
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
P. Heinrich
中科院分区：
文献类型：
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作者：
D. Coupier;P. Heinrich
A competition model on $N^{2}$ between three clusters and governed by directed last passage percolation is considered. We prove that coexistence, i.e. the three clusters are simultaneously unbounded, occurs with probability $6-8log2$. When this happens, we also prove that the central cluster almost surely has a positive density on $N^{2}$. Our results rely on three couplings, allowing to link the competition interfaces (which represent the borderlines between the clusters) to some particles in the multi-TASEP, and on recent results about collision in the multi-TASEP.
DOI：
10.1214/08-aap542
发表时间：
2009
期刊：
The Annals of Applied Probability
影响因子：
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作者：
Ferrari P
通讯作者：
Ferrari P
DOI：
10.1214/08-aihp303
发表时间：
2009
期刊：
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
影响因子：
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作者：
Ferrari P
通讯作者：
Ferrari P