3 papers
math-ph2026
Broadband quasistatic passive cloaking: bounds and limitations in the near-field regime
Maxence Cassier, Graeme W. Milton, Aaron Welters
We consider here several aspects of the following challenging question: is it possible to use a passive cloak to make invisible a dielectric inclusion on a finite frequency interva…
math.FA2025
Complete characterization of symmetric Kubo-Ando operator means satisfying Molnár's weak associativity
Yury Grabovsky, Graeme W. Milton, Aaron Welters
We provide a complete characterization of a subclass of weakly associative means of positive operators in the class of symmetric Kubo-Ando means. This class, which includes the geo…
math.NA2024
Rapidly convergent series expansions for a class of resolvents
Graeme W. Milton
Following advances in the abstract theory of composites, we develop rapidly converging series expansions about for the resolvent ${\bf R}(z)=[z{\bf I}-{\bf P}^\dagger{\b…