49 citations · 149 across the 13 of their papers we have counts for
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math-ph2019★ 5 cited
Renormalization and universality of the Hofstadter spectrum
Hans Koch, Sasha Kocic
We consider a renormalization transformation for skew-product maps of the type that arise in a spectral analysis of the Hofstadter Hamiltonian. Periodic orbits of determine…
math-ph2019★ 2 cited
Golden mean renormalization for the almost Mathieu operator and related skew products
Hans Koch
Considering SL(2,R) skew-product maps over circle rotations, we prove that a renormalization transformation associated with the golden mean alpha has a nontrivial periodic orbit of…