Stationary determinantal processes:ψ-mixing property and correlation dimensions

Authors：Fan, Shilei; Liao, Lingmin; Qiu, Yanqi^*

Source：Stochastic Processes and their Applications, 2022, 151: 1-22.

DOI：10.1016/j.spa.2022.05.009

• Determinantal point processes
• psi-mixing
• Correlation dimension

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 psi-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

• Institution
  武汉大学; 中国科学院