List questions from random-matrices

Published on 25 Apr 2022 - 21:26

181

Views

If a random matrix converges to an invertible constant matrix $A$, does its inverse converge to $inv(A)$?

Published on 26 Apr 2022 - 21:03

72

Views

How do we compute an integral over a unit simplex?

Published on 23 Feb 2026 - 12:30

31

Views

Another puzzling identity that arose from integrating over eigenvalues of Wishart matrices.

Published on 27 Apr 2022 - 17:05

95

Views

Connection between determinantal point process kernel and Hilbert-Schmidt operator kernel

Published on 05 May 2022 - 22:21

238

Views

Limit of the smallest eigenvalue of a random Gram matrix $XX^T/n$.

Published on 28 Mar 2026 - 10:56

137

Views

Why is the Sine Kernel admissible as the kernel of a DPP?

Published on 25 Mar 2026 - 10:21

282

Views

Proof of the Matrix Hoeffding lemma

Published on 10 May 2022 - 11:40

238

Views

Why $[(\mathbf{I}_N-\mathbf{A}^\top \mathbf{A})\mathbf{x}]$ is Gaussian with i.i.d. Gaussian $\mathbf{A}$?

Published on 11 May 2022 - 8:00

61

Views

Compute expected number of points in [0,1] of the sine point process

Published on 11 May 2022 - 20:35

205

Views

Asymptotics of $G(x)=\sum_{n \in \Bbb N}^x \mathrm{Vol}(\zeta(\mathbf X)).$

Published on 29 Mar 2026 - 6:07

39

Views

Is the product of two independent random matrix full rank?

Published on 14 May 2022 - 3:17

196

Views

Empirical spectral distribution, sample covariance of normal distribution

Published on 14 May 2022 - 8:20

138

Views

How to understand the definition of Lebesgue measure of a Hermitian matrix?

Published on 14 May 2022 - 18:47

353

Views

Multiplication of two random matrices over a finite field

Published on 24 May 2022 - 6:43

List Question

Powers of Non-i.i.d. Random Matrices

If a random matrix converges to an invertible constant matrix $A$, does its inverse converge to $inv(A)$?

How do we compute an integral over a unit simplex?

Another puzzling identity that arose from integrating over eigenvalues of Wishart matrices.

Connection between determinantal point process kernel and Hilbert-Schmidt operator kernel

Limit of the smallest eigenvalue of a random Gram matrix $XX^T/n$.

Why is the Sine Kernel admissible as the kernel of a DPP?

Proof of the Matrix Hoeffding lemma

Why $[(\mathbf{I}_N-\mathbf{A}^\top \mathbf{A})\mathbf{x}]$ is Gaussian with i.i.d. Gaussian $\mathbf{A}$?

Compute expected number of points in [0,1] of the sine point process

Asymptotics of $G(x)=\sum_{n \in \Bbb N}^x \mathrm{Vol}(\zeta(\mathbf X)).$

Is the product of two independent random matrix full rank?

Empirical spectral distribution, sample covariance of normal distribution

How to understand the definition of Lebesgue measure of a Hermitian matrix?

Multiplication of two random matrices over a finite field

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