7 papers
A Chain- and Diagram-Level Semantics for Morphological Calculus Refinement, monodromy, and bivector orbit decompositions
Baruch Schneider, Diana Schneiderová, Yifan Zhang
Morphological calculus represents decompositions of geometric objects by polynomial-like expressions in a symbol for the real line. Sommen's examples reveal two basic difficulties:…
Stable -Hermitian coordinate calculus: Capelli--PBW transport, mixed polarization algebra, and localization obstructions
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We extend a finite-support -Hermitian radial calculus to Clifford-valued coordinate polynomials. For bosonic Hermitian vector labels and finite fermionic support, the stable…
Exceptional supersphere integration and logarithmic Pizzetti kernels
Juan Bory-Reyes, Baruch Schneider, Diana Schneiderova +1
We study orthosymplectically invariant supersphere integration at the exceptional superdimensions , where the harmonic Fischer structure becomes nonsemisimple and the Pizzet…
Lieb-Thirring bounds for Melik-Adamyan canonical Hamiltonians
Baruch Schneider, Diana Barseghyan Schneiderová, Yifan Zhang
We study a class of positive matrix Hamiltonians arising from the canonical differential expressions of Melik-Adamyan and appearing in the appendix of Alpay--Gohberg. Let and $…
Right q-vector calculus at integral superdimension: localized decompositions and resonance
Juan Bory-Reyes, Baruch Schneider, Diana Barseghyan Schneiderová +1
We specialize the intrinsic right -vector derivative on radial algebras to integral superdimension. The formal dimension is encoded by an independent coefficient , and formal…
Global small-hole minimization of the first Dirichlet eigenvalue in a square with two hard obstacles
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We study the global minimization of the first Dirichlet eigenvalue of a square containing two equal non-overlapping circular obstacles as their common radius tends to zero. A c…