Proceedings of the National Academy of Sciences of the United States of America, Vol. 54, No. 2 (Aug. 15, 1965), pp. 351-354 (4 pages) ...
The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...
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