Second Phase transition line
classification
🧮 math-ph
math.DSmath.MPmath.SP
keywords
continuouslinephasepointpuresingularalmostarithmetic
read the original abstract
We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.
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