Bohemian Eigenvalues

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Bohemian Eigenvalues

Postby hyksos on November 30th, 2016, 6:39 pm 

Bohemian eigenvalues are the distribution of the eigenvalues of a random matrix.

http://steventhornton.ca/bohemian-eigenvalues/
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Re: Bohemian Eigenvalues

Postby henriette on February 1st, 2017, 7:44 am 

Dear,
First thank you for the Bohemian images that are gorgeous.
A remark/question : there is a reported and celebrated link between the distribution of eigenvalues of a random matrix (from the GUE) and the distribution of primes.(http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/random.htm provides a comprehensive review and bibliography dealing with both math and physics).
My best guest is that matrix from the GUE are not the best candidates and that eigenvalues of at least 2D measurements of natural scenes (images and alike) provide random patterns that may be better suited to derive a relationship between natural shapes and primes. Any comments?
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Re: Bohemian Eigenvalues

Postby Alan Masterman on February 25th, 2018, 9:40 am 

Yes, I'd like to comment. Are we assuming that the bivariant correlation indices for the matrices of the relevant polar variables are equal to unity? If so, why? If not, why not?
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