15 citations · 110 across the 24 of their papers we have counts for
24 papers
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…
Spectral asymmetry via pseudodifferential projections: the massless Dirac operator
Matteo Capoferri, Beatrice Costeri, Claudio Dappiaggi
A new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first au…
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…
Quantitative estimates for high-contrast random media
Peter Bella, Matteo Capoferri, Mikhail Cherdantsev +1
This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on…
Noncommutative Gelfand Duality: the algebraic case
Federico Bambozzi, Matteo Capoferri, Simone Murro
The goal of this paper is to define a notion of non-commutative Gelfand duality. Using techniques from derived algebraic geometry, we show that the category of rings is anti-equiva…