1 citations · 1 across the 6 of their papers we have counts for
6 papers
Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media
Ilya Ruchiev, Bryn Davies
Fibonacci time quasicrystals can be approximated by temporal supercells to reveal a fractal collection of gaps, in which wave energy is amplified exponentially. These estimates…
Convergence of supercell and superspace methods for computing spectra of quasiperiodic operators
Bryn Davies, Clemens Thalhammer
We study the convergence of two of the most widely used and intuitive approaches for computing the spectra of differential operators with quasiperiodic coefficients: the supercell…
Spectral theoretic characterisation of Markov chain convergence
Bryn Davies, Angelica Yu Xiao
In this work, we characterise the statistics of Markov chains by constructing an associated sequence of periodic differential operators. Studying the density of states of these ope…
Mixing Skyrmions and Merons in Topological Quasicrystals of Evanescent Optical Field
Henry J. Putley, Bryn Davies, Francisco J. Rodríguez-Fortuño +2
Photonic skyrmion and meron lattices are structured light fields with topologically protected textures, analogous to magnetic skyrmions and merons. Here, we report the theoretical…
Van Hove singularities in the density of states of a chaotic dynamical system
Bryn Davies
We show that the statistics of chaotic systems can be predicted by constructing an associated sequence of periodic differential operators and computing their densities of states. F…
Hierarchical Band Gaps in Complex Periodic Systems
Lucas Dunckley, Bryn Davies
Complex periodic structures inherit spectral properties from the constituent parts of their unit cells, chiefly their spectral band gaps. Exploiting this intuitive principle, which…