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Results tagged with random-matrices
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user 122887
Statistics of spectral properties of matrix-valued random variables.
16
votes
5
answers
2k
views
Expected value of determinant of simple infinite random matrix
Suppose we have a matrix $A \in \mathbb{R}^{n\times n}$ where
$$A_{ij} = \begin{cases} 1 & \text{with probability} \quad p\\ 0 &\text{with probability} \quad1-p\end{cases}$$
I would like to know the f …
- 355
6
votes
3
answers
1k
views
Expected determinant of random symmetric matrix with different Gaussian distributions of the...
Consider a random matrix $A \in \mathbb{R}^{N \times N}$ where the elements are random gaussian variables. The mean and variance of the elements are different on the diagonal and the off-diagonal:
$ …
- 355
6
votes
2
answers
737
views
Probability of a large random integer Matrix to have zero determinant
Suppose we have a matrix $A \in \{0,1\}^{n \times n}$ where
$$A_{ij} = \begin{cases} 1 & \text{with probability} \quad p\\ 0 &\text{with probability} \quad 1-p\end{cases}$$
I would like to know the …
- 355