Airy kernel with two sets of parameters in directed percolation and Random Matrix Theory
Airy kernel with two sets of parameters in directed percolation and Random Matrix Theory
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DOI：
10.1007/s10955-008-9553-8
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发表时间：
2008-07-01
影响因子：
1.6
通讯作者：
Peche, Sandrine
中科院分区：
文献类型：
--
作者：
Borodin, Alexei;Peche, Sandrine
我们介绍了一个推广的扩展艾里核与两套真实的参数。我们发现，这个内核中出现的边缘标度限制的相关内核的行列式过程相关的有向渗流模型和合奏的随机矩阵。
We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of determinantal processes related to a directed percolation model and to an ensemble of random matrices.