Publications

Alexopoulos K, Davies B. (2023) Topologically protected modes in dispersive materials: the case of undamped systems. [preprint]

Craster RV, Davies B. (2023) Asymptotic characterisation of localised defect modes: Su-Schrieffer-Heeger and related models. Multiscale Modeling and Simulation 21 (3), 827-848.  [article | preprint | code]

Chaplain GJ, Gliozzi AS, Davies B, Urban D, Descrovi E, Bosia F, Craster RV. (2023) Tunable topological edge modes in Su-Schrieffer-Heeger arrays. Applied Physics Letters 122 (22), 221703. [article | preprint]

Ammari H, Davies B, Hiltunen EO. (2020) Robust edge modes in dislocated systems of subwavelength resonators. Journal of the London Mathematical Society 106 (3), 2075-2135. [article | preprint]

Ammari H, Davies B, Hiltunen EO, Yu S. (2020) Topologically protected edge modes in one-dimensional chains of subwavelength resonators. Journal de Mathématiques Pures et Appliquées 144, 17–49. [article | preprint]

Davies B, Chaplain GJ, Starkey TA, Craster RV. (2023) Graded quasiperiodic metamaterials perform fractal rainbow trapping. Physical Review Letters, 131 (17), 177001. [article | preprint]

Davies B, Morini L. (2024) Super band gaps and periodic approximants of generalised Fibonacci tilings. To appear in Proceedings of the Royal Society A. [preprint]

Davies B, Craster RV. (2022) Symmetry-induced quasicrystalline waveguides. Wave Motion 115, 103068. [article | preprint | code]

Davies B, Fehertoi-Nagy L, Putley HJ. (2023) On the problem of comparing graded metamaterials. To appear in Proceedings of the Royal Society A 479 (2277), 20230537. [article | preprint | code]

Ammari H, Davies B. (2023) Asymptotic links between signal processing, acoustic metamaterials and biology. SIAM Journal on Imaging Sciences 16 (1), 64-88. [article | preprint | code]

Davies B, Herren L. (2022) Robustness of subwavelength devices: a case study of cochlea-inspired rainbow sensors. Proceedings of the Royal Society A 478 (2262), 20210765. [article | preprint | code]

Bruhin ND, Davies B. (2022) Bioinspired random projections for robust, sparse classification. SIAM Journal on Imaging Sciences 15 (4), 1833-1850. [article | preprint | code]

Bell A, Davies B, Ammari H. (2021) Bernhard Riemann, the ear, and an atom of consciousness. Foundations of Science 27 (3), 855-873. [article]

Ammari H, Davies B. (2020) Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Proceedings of the Royal Society A 476 (2234), 20190870. [article | preprint | code]

Ammari H, Davies B. (2019) A fully coupled subwavelength resonance approach to filtering auditory signals. Proceedings of the Royal Society A 475 (2228), 20190049. [article | preprint | code]

Alexopoulos K, Davies B. (2023) The effect of singularities and damping on the spectra of photonic crystals. [preprint | code]

Ammari H, Davies B, Hiltunen EO. (2023) Spectral convergence in large finite resonator arrays: the essential spectrum and band structure. [preprint]

Alexopoulos K, Davies B. (2023) A mathematical design strategy for highly dispersive resonator systems. Mathematical Methods in the Applied Sciences 46 (14), 15883-15908. [article | preprint]

Ammari H, Davies B, Hiltunen EO. (2023) Convergence rates for defect modes in large finite resonator arrays. SIAM Journal on Mathematical Analysis, 55 (6), 7616-7634. [article | preprint]

Alexopoulos K, Davies B. (2022) Asymptotic analysis of subwavelength halide perovskite resonators. Partial Differential Equations and Applications 3 (44), 1-28. [article | preprint]

Ammari H, Davies B, Hiltunen EO. (2021) Functional analytic methods for discrete approximations of subwavelength resonator systems. [preprint]

Ammari H, Davies B, Lee H, Hiltunen EO, Yu S. (2021) Bound states in the continuum and Fano resonances in subwavelength resonator arrays. Journal of Mathematical Physics 62, 101506. [article | preprint]

Ammari H, Davies B, Yu S. (2020) Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 18 (3), 1299–1317. [article | preprint] 

Ammari H, Davies B, Hiltunen EO. (2024) Anderson localization in the subwavelength regime. Communications in Mathematical Physics 405, 1-20. [article | preprint | code]

Davies B, Lou Y. (2024) Landscape of wave focusing and localization at low frequencies. Studies in Applied Mathematics 152 (2), 760-777. [article | preprint | code]

Ammari H, Barandun S, Cao J, Davies B, Hiltunen EO. (2024) Mathematical foundations of the non-Hermitian skin effect. To appear in Archive for Rational Mechanics and Analysis. [preprint | code]

Ammari H, Barandun S, Cao J, Davies B, Hiltunen EO, Liu P. (2023) The non-Hermitian skin effect with three-dimensional long-range coupling. [preprint | code]

Ammari H, Barandun S, Davies B, Hiltunen EO, Liu P. (2023) Stability of the non-Hermitian skin effect. [preprint | code]

Ammari H, Davies B, Lee H, Hiltunen EO, Yu S. (2022) Exceptional points in parity–time-symmetric subwavelength metamaterials. SIAM Journal on Mathematical Analysis 54 (6), 6223-6253. [article | preprint]

Ammari H, Davies B, Lee H, Hiltunen EO, Yu S. (2020) High-order exceptional points and enhanced sensing in subwavelength resonator arrays. Studies in Applied Mathematics 146 (2), 440-462. [article | preprint | code]

Ammari H, Davies B. (2023) Metamaterial Analysis and Design: A Mathematical Treatment of Cochlea-inspired Sensors. De Gruyter Series in Applied and Numerical Mathematics, volume 9, De Gruyter. [book]

Ammari H, Davies B, Lee H, Hiltunen EO, Yu S. (2022) Wave interaction with subwavelength resonators. M. Chiappini, V. Vespri (eds.), Applied Mathematical Problems in Geophysics, C.I.M.E. Foundation Subseries, 2308, 23–83, Springer. [article | preprint | code]

Davies B. (2023) Using functional analysis to design the materials of the future. LMS Newsletter 505. [article]

Davies B. (2023) Why you need maths to dance. Plus. [article]