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math.PR2024
Multiple collisions of eigenvalues and singular values of matrix Gaussian field
Wangjun Yuan
Let be a real symmetric or complex Hermitian matrix whose entries are independent Gaussian random fields. We provide the sufficient and necessary conditions such that multipl…
math.PR2024
Strong convergence for tensor GUE random matrices
Benoît Collins, Wangjun Yuan
Haagerup and Thorbjørnsen proved that iid GUEs converge strongly to free semicircular elements as the dimension grows to infinity. Motivated by considerations from quantum physics…