335 citations · 2.1k across the 46 of their papers we have counts for
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The algebraic area of closed lattice random walks
Stephane Ouvry, Shuang Wu
We propose a formula for the enumeration of closed lattice random walks of length enclosing a given algebraic area. The information is contained in the Kreft coefficients which…
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…
On Thouless bandwidth formula in the Hofstadter model
Stephane Ouvry, Shuang Wu
We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers.
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…