6 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…
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 $…
One-dimensional optimisation of indefinite-weight principal eigenvalues with asymmetric Robin parameters and a Schrödinger-type perturbation
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We study the minimisation of the positive principal eigenvalue for an indefinite-weight problem with asymmetric Robin parameters. The model is motivated by diffusive logistic equat…
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…
Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
Baruch Schneider, Diana Schneiderova, Yifan Zhang
This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks…