行列式点过程是目前比较活跃的研究领域。Ghosh-Peres点刚性性质以及Insertion-Deletion tolerance性质是点过程理论中重要的研究课题。邱彦奇与合作者在行列式点过程领域取得如下进展：证明了任意维复空间内有界区域上加权Bergman空间诱导的行列式点过程具有Insertion-Deletion tolerence性质；证明了一维整数格点上Toeplitz矩阵诱导的平稳行列式点过程一些新的动力系统性质；证明了直线上几类重要Pfaffian点过程的点刚性性质。此外还证明了行列式点过程与Poisson点过程之间叠加时具有某种刚性。 

　　 发表论文 

　　1. Bufetov, Alexander I.; Fan, Shilei; Qiu, Yanqi, Equivalence of Palm measures for determinantal point processes governed by Bergman kernels. Probab. Theory Related Fields 172(2018),no. 1-2, 31-69. 

　　2. Fan Ai-Hua; Fan, Shilei; Qiu, Yanqi, Some properties of stationary determinantal point processes on Z, accepted for publication in J. London Math. Soc. 

　　3. Bufetov, Alexander I.;Nikitin, Pavel; Qiu, Yanqi, On number rigidity for Pfaffian point processes, conditionally accepted for publication in Moscow Math. J. 

　　4. Qiu，Yanqi，A rigidity property of superpositions involving  determinantal processes, accepted for publication in  Stoch. Process. Appl.