μM,D-Orthogonality and compatible pair

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ON THE BEURLING DIMENSION OF EXPONENTIAL FRAMES (2010, background): “[Li07] Jian-Lin Li. µM,D-orthogonality and compatible pair.”
Spectral measures with arbitrary Hausdorff dimensions (2014, background): “Since then, various singular spectral measures on self-similar/self-affine fractal sets have been found, see for instance [3–6,9,11,15–17,19,21,22,24,26,27,30,34].”
Spectra of a class of self-affine measures (2011, background): “1 holds in the dimension n = 1 [14], in the case when |D| = |S| = |det(M)| [17] and in the case when |det(M)| is a prime number [16], it also holds in higher dimensions with additional conditions [1,4].”