15 citations · 110 across the 24 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Matteo Capoferri, Isabel Mann
We establish two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions on a smooth compact Riemannian manifold of arbitrary dimension. We i…
Two-term spectral asymptotics in linear elasticity
Matteo Capoferri, Leonid Friedlander, Michael Levitin +1
We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary dimension. We also present some…
Eigenfunctions localised on a defect in high-contrast random media
Matteo Capoferri, Mikhail Cherdantsev, Igor Velčić
We study the properties of eigenvalues and corresponding eigenfunctions generated by a defect in the gaps of the spectrum of a high-contrast random operator. We consider a family o…