3 papers
math.GM2021
On symmetries of a matrix and its isospectral reduction
Malte Röntgen, Maxim Pyzh, Christian V. Morfonios +1
The analysis of diagonalizable matrices in terms of their so-called isospectral reduction represents a versatile approach to the underlying eigenvalue problem. Starting from a symm…
math.CO2020
Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices
Christian V. Morfonios, Maxim Pyzh, Malte Röntgen +1
Originating from spectral graph theory, cospectrality is a powerful generalization of exchange symmetry and can be applied to all real-valued symmetric matrices. Two vertices of an…
cond-mat.mes-hall2018
Local symmetry theory of resonator structures for the real-space control of edge states in binary aperiodic chains
Malte Röntgen, Christian V. Morfonios, Ren Wang +2
We propose a real-space approach explaining and controlling the occurrence of edge-localized gap states between the spectral quasibands of binary tight binding chains with determin…