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math.AP2025
Spectra and pseudospectra of non-Hermitian Toeplitz operators: Eigenvector decay transitions in banded and dense matrices
Yannick de Bruijn, Bryn Davies, Sacha Dupuy +1
Using a generalised Floquet-Bloch theory, we present a mathematical method to construct eigenvectors for non-Hermitian Toeplitz operators. We extend the method to both banded Toepl…
math-ph2025
Universal estimates for the density of states for aperiodic block subwavelength resonator systems
Habib Ammari, Silvio Barandun, Bryn Davies +2
We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…
physics.app-ph2025
Hofstadter butterflies in phononic structures: commensurate spectra, wave localization and metal-insulator transitions
Bryn Davies, Lorenzo Morini
We present a new simple and easy-to-implement one-dimensional phononic system whose spectrum exactly corresponds to the Hofstadter butterfly when a parameter is modulated. The syst…