47 citations · 60 across the 10 of their papers we have counts for
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Mesoscopic Rates of Convergence for Complex Wishart Matrices at the Leftmost Spectrum Edge
Mengchun Cai
This paper establishes mesoscopic rates of convergence in the -Wasserstein distance for eigenvalue determinantal point processes (DPPs) derived from the Laguerre Unitary Ensem…
Rates of Bulk Convergence for Ensembles of Classical Compact Groups
Mengchun Cai
This paper considers random matrices distributed according to Haar measure in different classical compact groups. Utilizing the determinantal point structures of their nontrivial e…
Mesoscopic Rates of Convergence for Hermitian Unitary Ensembles
Mengchun Cai, Kyle Taljan
This paper provides mesoscopic rates of convergence (ROC) with respect to the -Wasserstein distance for the eigenvalue determinantal point processes (DPPs) from the three majo…
Long-time dynamics of stochastic wave equation with dissipative damping and its full discretization: exponential ergodicity and strong law of large numbers
Meng Cai, Chuchu Chen, Jialin Hong +1
For stochastic wave equation, when the dissipative damping is a non-globally Lipschitz function of the velocity, there are few results on the long-time dynamics, in particular, the…