Why should the eigenvalues of random matrices reflect zeta function zeroes?
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Why should the eigenvalues of random matrices reflect zeta function zeroes?
This article is related to the question.
Is this a particular property of $2$-dimensional objects? Could random vectors also model the "universality phenomena" -- globally random distribution of zeroes combined with local repulsion of zeroes?
Is this because matrices eigenvectors are orthogonal to each other, the orthogonality modeling the repulsion / mutual exclusion of the energy states of real systems? Are there any instances where CP decompositions of "random tensors" model physical systems ? Why matrices ?
eigenvalues-eigenvectors riemann-zeta random-matrices
edited Dec 27 '18 at 10:13
Klangen
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
$endgroup$
add a comment |
$begingroup$
Why should the eigenvalues of random matrices reflect zeta function zeroes?
This article is related to the question.
Is this a particular property of $2$-dimensional objects? Could random vectors also model the "universality phenomena" -- globally random distribution of zeroes combined with local repulsion of zeroes?
Is this because matrices eigenvectors are orthogonal to each other, the orthogonality modeling the repulsion / mutual exclusion of the energy states of real systems? Are there any instances where CP decompositions of "random tensors" model physical systems ? Why matrices ?
eigenvalues-eigenvectors riemann-zeta random-matrices
edited Dec 27 '18 at 10:13
Klangen
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
$endgroup$
2
$begingroup$
wouldn't this be better suited for physics.stackexchange ?
$endgroup$
– Glougloubarbaki
Feb 7 '13 at 15:01
add a comment |
$begingroup$
Why should the eigenvalues of random matrices reflect zeta function zeroes?
This article is related to the question.
Is this a particular property of $2$-dimensional objects? Could random vectors also model the "universality phenomena" -- globally random distribution of zeroes combined with local repulsion of zeroes?
Is this because matrices eigenvectors are orthogonal to each other, the orthogonality modeling the repulsion / mutual exclusion of the energy states of real systems? Are there any instances where CP decompositions of "random tensors" model physical systems ? Why matrices ?
eigenvalues-eigenvectors riemann-zeta random-matrices
edited Dec 27 '18 at 10:13
Klangen
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
$endgroup$
Why should the eigenvalues of random matrices reflect zeta function zeroes?
This article is related to the question.
Is this a particular property of $2$-dimensional objects? Could random vectors also model the "universality phenomena" -- globally random distribution of zeroes combined with local repulsion of zeroes?
Is this because matrices eigenvectors are orthogonal to each other, the orthogonality modeling the repulsion / mutual exclusion of the energy states of real systems? Are there any instances where CP decompositions of "random tensors" model physical systems ? Why matrices ?
eigenvalues-eigenvectors riemann-zeta random-matrices
eigenvalues-eigenvectors riemann-zeta random-matrices
edited Dec 27 '18 at 10:13
Klangen
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
edited Dec 27 '18 at 10:13
Klangen
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
edited Dec 27 '18 at 10:13
Klangen
1,70711334
edited Dec 27 '18 at 10:13
Klangen
1,70711334
edited Dec 27 '18 at 10:13
Klangen
1,70711334
1,70711334
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
asked Feb 7 '13 at 14:51
Cris StringfellowCris Stringfellow
4781318
4781318
2
$begingroup$
wouldn't this be better suited for physics.stackexchange ?
$endgroup$
– Glougloubarbaki
Feb 7 '13 at 15:01
add a comment |
2
$begingroup$
wouldn't this be better suited for physics.stackexchange ?
$endgroup$
– Glougloubarbaki
Feb 7 '13 at 15:01
2
2
$begingroup$
wouldn't this be better suited for physics.stackexchange ?
$endgroup$
– Glougloubarbaki
Feb 7 '13 at 15:01
$begingroup$
wouldn't this be better suited for physics.stackexchange ?
$endgroup$
– Glougloubarbaki
Feb 7 '13 at 15:01
add a comment |
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wouldn't this be better suited for physics.stackexchange ?
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– Glougloubarbaki
Feb 7 '13 at 15:01