Stationary determinantal processes: ψ-mixing property and correlation dimensions
Stationary determinantal processes: ψ-mixing property and correlation dimensions
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DOI：
10.1016/j.spa.2022.05.009
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yanqi Qiu
中科院分区：
文献类型：
--
作者：
Shilei Fan;Lingmin Liao;Yanqi Qiu
We study the stationary determinantal processes on the integer lattice, induced by strictly positive and strictly contractive convolution kernels. A necessary and sufficient condition of ψ -mixing property for such a process is given. Some new results on the correlation dimension of the stationary determinantal measure on the symbolic space are obtained. As an application, the precise decreasing rate of the shortest distances between two orbits in the corresponding dynamical system is obtained.
