Alexanja Senke

On Gröchenig's Problem 4.12: Failure and Central-Dominance Repair of Beurling-Density Variation Diminution for Gaussian Shifts

This preprint presents an independent mathematical investigation motivated by Problem 4.12 in Karlheinz Gröchenig, Infinite totally positive matrices: some open problems, Acta Scientiarum Mathematicarum (2026), DOI: 10.1007/s44146-026-00264-3. Problem 4.12 asks whether, for a Pól...

An Exact Symmetry-Locked Physical-Time Counterconstruction to First-Order Angular Turnover with Matched-Path and Fixed-Scale Transfer-Threshold Classifications

M3R-NOV-02 Public v1.0 This public technical note studies an explicit smooth periodic divergence-free family for the three-dimensional incompressible Navier–Stokes equations and isolates a symmetry point at which the resolved heat-filtered strain and the deviatoric caloric covari...

Directed Computer-Assisted Certification of a Local Order-10 Operator-Chain Corridor on the Real Interval 5 ≤ s ≤ 14.25 via a Fixed Uniform b₁ Remainder Coefficient, Proof-Preserving Critical-Block Adaptation, and Panel-Aligned Derivative-Group Enclosures

Abstract This preprint update presents a directed computer-assisted certification of strict positivity and corridor inequalities for a constructed order-10 real-parameter operator chain on the local interval 5 <= s <= 14.25. Version v1.1 extends the published v1.0 certificate fro...

Directed Computer-Assisted Certification of a Local Order-10 Operator-Chain Corridor on the Real Interval 5 ≤ s ≤ 14.25 via a Fixed Uniform b₁ Remainder Coefficient, Proof-Preserving Critical-Block Adaptation, and Panel-Aligned Derivative-Group Enclosures

Abstract This preprint update presents a directed computer-assisted certification of strict positivity and corridor inequalities for a constructed order-10 real-parameter operator chain on the local interval 5 <= s <= 14.25. Version v1.1 extends the published v1.0 certificate fro...