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which plots, as a function of the $y$-coordinate, the spectrum of the almost Mathieu operator$H^y:l^2(\mathbb Z)\to l^2(\mathbb Z)$$$H^y(f)(n)=f(n+1)+f(n-1)+2\cos(2\pi ny)f(n).$$
which plots as a function of the $y$-coordinate the spectrum of the almost Mathieu operator$H^y:l^2(\mathbb Z)\to l^2(\mathbb Z)$$$H^y(f)(n)=f(n+1)+f(n-1)+2\cos(2\pi ny)f(n).$$
plots, as a function of the $y$-coordinate, the spectrum of the almost Mathieu operator$H^y:l^2(\mathbb Z)\to l^2(\mathbb Z)$$$H^y(f)(n)=f(n+1)+f(n-1)+2\cos(2\pi ny)f(n).$$
which plots as a function of the $y$-coordinate the spectrum of the almost Mathieu operator$H^y:l^2(\mathbb Z)\to l^2(\mathbb Z)$$$H^y(f)(n)=f(n+1)+f(n-1)+2\cos(2\pi ny)f(n).$$