Support geometry and nonuniform small-entropy limits in Gaussian transport

AI-assisted, unrefereed research candidate on the Wasserstein distance between Gaussian entropic joint plans and their entropy-selected limits. The paper studies arbitrary-rank coefficients, sharp fixed-support angle dependence, bounded-trace nonuniformity, and uniform quadratic remainders under covariance and positive-angle gaps. The inverse-square angle-gap order is necessary by a rank-one calculation. The full-rank coefficient, bound and equality are attributed to already-public MathDB submissions, not claimed as a new conjecture resolution. Written proofs and producer-side numerical implementation checks are supplied; no formal verification, external peer review or unaffiliated reproduction is claimed. Novelty assessment is bounded. Original prose and diagrams CC0-1.0; original code MIT.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24003340
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

Support geometry and nonuniform small-entropy limits in Gaussian transport

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Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
preprint

Support geometry and nonuniform small-entropy limits in Gaussian transport

preprint en

Abstract

AI-assisted, unrefereed research candidate on the Wasserstein distance between Gaussian entropic joint plans and their entropy-selected limits. The paper studies arbitrary-rank coefficients, sharp fixed-support angle dependence, bounded-trace nonuniformity, and uniform quadratic remainders under covariance and positive-angle gaps. The inverse-square angle-gap order is necessary by a rank-one calculation. The full-rank coefficient, bound and equality are attributed to already-public MathDB submissions, not claimed as a new conjecture resolution. Written proofs and producer-side numerical implementation checks are supplied; no formal verification, external peer review or unaffiliated reproduction is claimed. Novelty assessment is bounded. Original prose and diagrams CC0-1.0; original code MIT.

Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
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