Spectra of almost periodic matrices from what is algebra Watch Video
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Description: Spectra of almost periodic matrices in 4K resolution. The matrices (found in 2008 for a talk at Dunster house and used in 2010 for a Mathematica project for a Math 21b course) have the entries A(n,m) = cos(n m a + n b), where a,b aresome fixed real parameters. The movie shows what happens, when the parameters a,bare slowly changed. The matrices are 2160 x 2160 matrices. The pictures show thespectra (the eigenvalues of the matrix in the complex plane). They were exported to 3840x2160 pixel