7 citations · 13 across the 17 of their papers we have counts for
21 papers
Central limit theorems for stochastic heat equation driven by Gaussian noise with heat-kernel covariance
Meng Wang, Wangjun Yuan
In this article, we study the spatial fluctuations of the Skorohod solution to a stochastic heat equation on for , driven by multiplicative Gaussian noise with t…
On spectrum of sample correlation matrices from large fold tensor vectors
Wangjun Yuan
In this paper, we investigate the limiting spectral distribution of the sample correlation matrix, whose sample vectors are -fold tensor products of -dimensional vectors with…
Operator Norm Bounds for Multi-leg Matrix Tensors and Applications to Random Matrix Theory
Benoît Collins, Wangjun Yuan
We study the extremal values of multi-leg traces of matrix tensors under operator norm constraints. A graphical representation gives upper and lower bounds expressed as powers of t…
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…
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…
On a class of stochastic fractional heat equations
Jian Song, Meng Wang, Wangjun Yuan
For the fractional heat equation where the covariance function of the Gaussian noise is d…