The paper proves explicit supercell convergence rates for quasiperiodic operator spectra and a spectrum-equality theorem for the superspace lift, though the numerical discretisation of the superspace method still shows spurious eigenvalues without proven error bounds.
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Convergence of supercell and superspace methods for computing spectra of quasiperiodic operators
The paper proves explicit supercell convergence rates for quasiperiodic operator spectra and a spectrum-equality theorem for the superspace lift, though the numerical discretisation of the superspace method still shows spurious eigenvalues without proven error bounds.