# Tiling Associated to an Almost Mathieu Operator

In the references I've found, almost Mathieu operators of the form $$H_{\omega}^{\lambda, \alpha}u(n) = u(n+1)+u(n-1)+2\lambda\cos(2\pi(\omega+n\alpha))u(n)$$ acting on $l^2(\mathbb{Z})$ have been described as discrete aperiodic Schrodinger operators. Do they correspond in some way to aperiodic tilings of the real line? Physically this amounts to asking where the positions of the atoms are in this system.

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