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math.SP2026
Higher order Weyl coefficients for the operator curl
Giovanni Bracchi, Matteo Capoferri, Dmitri Vassiliev
We establish refined spectral asymptotics for the operator curl acting on a connected oriented closed Riemannian 3-manifold. We treat positive and negative eigenvalues separately a…
math.SP2025
A microlocal pathway to spectral asymmetry: curl and the eta invariant
Matteo Capoferri, Dmitri Vassiliev
The notion of eta invariant is traditionally defined by means of analytic continuation. We prove, by examining the particular case of the operator curl, that the eta invariant can…
math.SP2025
Anderson localization in high-contrast media with random spherical inclusions
Matteo Capoferri, Matthias Täufer
We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with rando…