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math.SP2025
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
Alexandro Luna
We prove that the Hausdorff dimension of the spectrum of a discrete Schrödinger operator with Sturmian potential of bounded type tends to one as coupling tends to zero. The proof…
math.SP2025
On the Spectra of Sieved Schrödinger Operators
Jake Fillman, Alexandro Luna
We give a family of examples of discrete Schrödinger operators whose spectral dimension is not invariant under sieving. The examples are produced from the Fibonacci Hamiltonian, w…