Coexistence in three type last passage percolation model
Coexistence in three type last passage percolation model
复制标题
三种类型的最后通道渗滤模型共存
DOI：
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发表时间：
2008
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
考虑了N2上由有向末次通过渗流控制的三类竞争模型.我们证明了这三种类型的共存，即这三种类型的顶点集同时无界，以正概率发生。此外，确定了两个竞争界面与水平轴所形成的渐近角，且它们不相同的概率为正。作为一个关键步骤，得到了最后一段渗流树的子树之间的随机控制。
A three types competition model governed by directed last passage percolation on N 2 is considered. We prove that coexistence of the three types, i.e. the sets of vertices of the three types are simultaneously unbounded, occurs with positive probability. Moreover, the asymptotic angles formed by the two competition interfaces with the horizontal axis are determined and their probability of being different is positive. As a key step, a stochastic domination between subtrees of the last passage percolation tree is obtained.
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