Research

About my research.

Content

Papers

All my published papers can be found on ORCID iD icon orcid.org and the preprints on arXiv.

In order of appearance of the first preprint version.

  1. 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
  2. H. Ammari, S. Barandun, P. Liu
    Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials Review article
    2024
    ✾ Preprint
  3. H. Ammari, S. Barandun, P. Liu, and A. Uhlmann
    Generalised Brillouin Zone for Non-Reciprocal Systems
    Submitted, 2024
    ✾ Preprint
  4. H. Ammari, S. Barandun, P. Liu, and A. Uhlmann
    Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
    Submitted, 2024
    ✾ Preprint
  5. 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
    Physical Review B Vol. 111, No. 3, 035109, 2025
    DOI: 10.1103/PhysRevB.111.035109
    ✾ Preprint, ❇ Paper
  6. 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
  7. 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
  8. 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
  9. 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
  10. H. Ammari, S. Barandun, P. Liu
    Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators
    To appear in Journal de Mathématiques Pures et Appliquées, 2024
    ✾ Preprint
  11. 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
  12. 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

Conferences, Summer Schools & Workshops

Undergraduate work