arXiv subjects

Éric Vacelet

Publications and source records attributed to Éric Vacelet.

2 recordsLinked to original sources

arXiv2026

Propagation of Semiclassical Measures Between Two Topological Insulators

We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a non-compact, smooth, and connected curve without boundary. The dynamics are governed by an adiabatic modulation of a Dirac operator with a smooth, effective variable mass. We determine the evolution of the semiclassical measure of the solution using a two-scale Wigner measure method, after reducing the Hamiltonian to a normal form.

math.AP↗

arXiv2025

The superadiabatic projectors method applied to the spectral theory of magnetic operators

This article deals with a generalization of the superadiabatic projectors method. In a general framework, the well-known superadiabatic projectors are constructed and accurately described in the case of rank one, when a remarkable factorization occurs. We apply these ideas to spectral theory and we explain how our abstract results allow to recover or improve recent results about the semiclassical magnetic Laplacian.

math.SP↗