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Experimental Mathematics: Eigenfunctions of the discrete
lapacian
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The image on the left shows a radial eigenfunction
of the adjacency operator on the Euclidean plane
over the finite field with 71 elements.
The image on the right shows an eigenfunction
of the adjacency operator on the hyperbolic plane
over the same field.
See
Audrey Terras,
Experimental Mathematics 5 (1996), 1532.
Experimental Mathematics Home Page