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Results tagged with random-matrices
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user 11260
Statistics of spectral properties of matrix-valued random variables.
2
votes
0
answers
95
views
Smallest eigenvalue separation in the Gaussian ensemble of random matrices
This question is motivated by Guido Li's question Expected minimal distance of eigenvalues, which concerns the sum of a deterministic matrix and a Gaussian random matrix. The deformation of the Gaussi …
- 188k
8
votes
1
answer
741
views
Counting eigenvalues without diagonalizing a matrix
Today's arXiv has a paper by Pierpaolo Vivo, Index of a matrix, complex logarithms, and multidimensional Fresnel integrals, which asks the question whether it is possible to calculate the number $N(\l …
- 52.3k
6
votes
1
answer
353
views
Quaternion Wishart matrices of half-integer dimension?
For a physics application (quantum delay times of a chaotic scatterer) I need to generate $m$ positive random variables $\lambda_1,\lambda_2,\ldots\lambda_m$ with probability distribution
$$P_\beta(\l …
CommunityBot
- 1
36
votes
0
answers
2k
views
Correspondence between eigenvalue distributions of random unitary and random orthogonal matr...
In the course of a physics problem (arXiv:1206.6687), I stumbled on a curious correspondence between the eigenvalue distributions of the matrix product $U\bar{U}$, with $U$ a random unitary matrix and …
CommunityBot
- 1