Author(s): James Chok, Matthew J. Colbrook, Mark Embree, and Jake Fillman Quasicrystalline Hamiltonians host Cantor-like spectra, gaps, and critical states, yet conventional finite-patch diagonalization is often compromised by spectral pollution: spurious eigenvalues absent from the infinite system. We introduce a certified spectral-computation framework for aperiodic med… [Phys. Rev. Lett. 137, 176403] Published Wed Oct 21, 2026