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math-ph2017★ 2 cited
Hofstadter point spectrum trace and the Almost Mathieu operator
Stéphane Ouvry, Stephan Wagner, Shuang Wu
We consider point spectrum traces in the Hofstadter model. We show how to recover the full quantum Hofstadter trace by integrating these point spectrum traces with the appropriate…
math-ph2016★ 7 cited
On the algebraic area of lattice walks and the Hofstadter model
Stephane Ouvry, Stephan Wagner, Shuang Wu
We consider the generating function of the algebraic area of lattice walks, evaluated at a root of unity, and its relation to the Hofstadter model. In particular, we obtain an expr…