15 citations · 22 across the 11 of their papers we have counts for
3 papers · 2 filters
Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
Habib Ammari, Silvio Barandun, Ping Liu
We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonat…
Generalised Brillouin Zone for Non-Reciprocal Systems
Habib Ammari, Silvio Barandun, Ping Liu +1
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…
Spectra and pseudo-spectra of tridiagonal -Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn +2
We establish new results on the spectra and pseudo-spectra of tridiagonal -Toeplitz operators and matrices. In particular, we prove the connection between the winding number of…