User Marcel

20 votes

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A determinantal formula

answered Oct 3, 2017 at 14:38

11 votes

What is the Katz-Sarnak philosophy?

answered Jun 28, 2018 at 19:28

10 votes

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Probability of complex eigenvalues

answered Aug 13, 2020 at 14:06

8 votes

Hankel determinant of incomplete gamma functions

answered Apr 5, 2021 at 19:06

8 votes

Advanced reference and roadmap about random matrices theory

answered Feb 25, 2017 at 1:47

7 votes

Moments of the trace of orthogonal matrices

answered Mar 5, 2016 at 14:42

7 votes

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Are random circulant matrices almost orthonormal?

answered Oct 13, 2017 at 23:41

7 votes

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Expected value of the largest singular value of a random matrix with entries in $N (0,1)$

answered Dec 2, 2017 at 12:32

6 votes

Fourier transform of eigenvalue distribution of GUE matrices

answered Apr 13, 2021 at 14:37

6 votes

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Reference request: $\chi^{\lambda'}(\sigma) = (-1)^{n-\ell(\sigma)} \chi^\lambda(\sigma),$ for characters of the symmetric group

answered Mar 9, 2016 at 0:03

5 votes

Distribution of dot product of two unit random vectors

answered Dec 28, 2015 at 12:18

5 votes

A difficult determinant

answered Apr 13, 2018 at 16:30

4 votes

Using irreducible characters of the orthogonal group as basis for homogeneous symmetric polynomials

answered Feb 10, 2021 at 14:15

4 votes

What are fun elementary subjects in probability?

answered Feb 13, 2016 at 17:35

4 votes

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Generalized Selberg integral

answered Apr 13, 2021 at 12:41

4 votes

Asymptotics of a Selberg-type integral

answered Apr 13, 2021 at 13:01

3 votes

Identity involving zonal polynomials and $\operatorname O(N)$ irrep dimensions

answered Nov 16, 2021 at 16:50

3 votes

Universal character ring for classical groups

answered Aug 27, 2022 at 17:28

3 votes

A question on determinant of a matrix polynomial

answered Feb 26, 2016 at 17:50

3 votes

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A question from Zeitouni's Introduction to Random Matrices

answered Jan 20, 2016 at 12:34

2 votes

Generalized cycle index polynomial for the symmetric group

answered Jan 23, 2016 at 0:44

2 votes

Can I derive the Boltzmann distribution by an invariance argument?

answered Aug 18, 2015 at 23:59

2 votes

Calculate correlation values of an ensemble of $N\times N$ real asymmetric random matrix from Gaussian measure

answered Dec 27, 2015 at 16:43

2 votes

Gutzwiller trace formula

answered Apr 5, 2017 at 1:06

2 votes

Moments of Matrix Gamma distribution

answered Dec 24, 2017 at 21:14

2 votes

Non combinatorial random matrix theory

answered May 23, 2018 at 13:30

1 vote

Eigenvectors of random unitary matrices

answered Jan 5, 2022 at 12:31

1 vote

Counting transitive generators according to coset type

answered Feb 9, 2018 at 12:34

1 vote

Wonderful applications of the Vandermonde determinant

answered Apr 18, 2018 at 17:58

1 vote

Identity involving dimensions and contents of partitions

answered Feb 20, 2020 at 1:10

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42 Answers

A determinantal formula

What is the Katz-Sarnak philosophy?

Probability of complex eigenvalues

Hankel determinant of incomplete gamma functions

Advanced reference and roadmap about random matrices theory

Moments of the trace of orthogonal matrices

Are random circulant matrices almost orthonormal?

Expected value of the largest singular value of a random matrix with entries in $N (0,1)$

Fourier transform of eigenvalue distribution of GUE matrices

Reference request: $\chi^{\lambda'}(\sigma) = (-1)^{n-\ell(\sigma)} \chi^\lambda(\sigma),$ for characters of the symmetric group

Distribution of dot product of two unit random vectors

A difficult determinant

Using irreducible characters of the orthogonal group as basis for homogeneous symmetric polynomials

What are fun elementary subjects in probability?

Generalized Selberg integral

Asymptotics of a Selberg-type integral

Identity involving zonal polynomials and $\operatorname O(N)$ irrep dimensions

Universal character ring for classical groups

A question on determinant of a matrix polynomial

A question from Zeitouni's Introduction to Random Matrices

Generalized cycle index polynomial for the symmetric group

Can I derive the Boltzmann distribution by an invariance argument?

Calculate correlation values of an ensemble of $N\times N$ real asymmetric random matrix from Gaussian measure

Gutzwiller trace formula

Moments of Matrix Gamma distribution

Non combinatorial random matrix theory

Eigenvectors of random unitary matrices

Counting transitive generators according to coset type

Wonderful applications of the Vandermonde determinant

Identity involving dimensions and contents of partitions