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math.AP2026
Edge State Propagation Near Multiple and Singular Interfaces
Nicolas Frantz, {É}ric Vacelet
We study the semiclassical propagation of edge-states for a two-dimensional Dirac operator with a spatially varying mass. The zero set of the mass models the interface between topo…
math.AP2026
Edge modes generated by intersection between 3 energy bands
Clotilde Fermanian Kammerer, Nicolas Frantz
In this contribution, we investigate 2-dimensional model problems of three coupled equations. We assume that the underlying Hamiltonian presents a symmetric intersection between th…
math-ph2026
The Spectral Shift Function for Non-Self-Adjoint Perturbations
Vincent Bruneau, Nicolas Frantz, François Nicoleau
This paper is devoted to the definition and analysis of the spectral shift function (SSF) associated with non-self-adjoint perturbations of self-adjoint operators. Motivated by app…