In order of appearance of the first preprint version.
H. Ammari, S. Barandun, and A. Uhlmann Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators Submitted, 2024 ✾ Preprint
H. Ammari, S. Barandun, P. Liu Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials Review article 2024 ✾ Preprint
H. Ammari, S. Barandun, P. Liu, and A. Uhlmann Generalised Brillouin Zone for Non-Reciprocal Systems Submitted, 2024 ✾ Preprint
H. Ammari, S. Barandun, P. Liu, and A. Uhlmann Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
Submitted, 2024 ✾ Preprint
B. Davies, S. Barandun, E. O. Hiltunen, R. V. Craster, and H. Ammari A Two-Scale Effective Model for Defect-Induced Localization Transitions in
Non-Hermitian Systems
Submitted, 2024 ✾ Preprint
H. Ammari, S. Barandun, Y. De Bruijn, P. Liu, and C. Thalhammer Spectra and pseudo-spectra of tridiagonal \(k\)-Toeplitz matrices and the topological origin of the
non-Hermitian skin effect
Submitted, 2024 ✾ Preprint
H. Ammari, S. Barandun, B. Davies, E.O. Hiltunen, T. Kosche, and P. Liu Exponentially localised interface eigenmodes in finite chains of resonators Studies in Applied Mathematics e12765, 2023 DOI: 10.1111/sapm.12765 ✾ Preprint, ❇ Paper
H. Ammari, S. Barandun, J. Cao, B. Davies, E. O. Hiltunen, P. Liu The Non-Hermitian Skin Effect With Three-Dimensional Long-Range Coupling
To appear in Journal of the European Mathematical Society, 2024 ✾ Preprint
H. Ammari, S. Barandun, B. Davies, E.O. Hiltunen, and P. Liu Stability of the non-Hermitian skin effect SIAM Journal on Applied Mathematics Vol. 84, No. 4, pp. 1697--171, 2024 DOI: 10.1137/23M1610537 ✾ Preprint, ❇ Paper
H. Ammari, S. Barandun, P. Liu Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength
resonators
Submitted, 2023 ✾ Preprint
H. Ammari, S. Barandun, J. Cao, B. Davies, and E.O. Hiltunen Mathematical foundations of the non-Hermitian skin effect Arch Rational Mech Anal 248, 33, 2024 DOI: 10.1007/s00205-024-01976-y ❇ Paper, ✾ Preprint
H. Ammari, S. Barandun, J. Cao, and F. Feppon Edge modes in subwavelength resonators in one dimension Multiscale Modeling & Simulation 21(3):964–992, 2023 DOI: 10.1137/23M1549419 ❇ Paper, ✾ Preprint