Gauss--Chebyshev Quadrature, $\mathbb S^1$-Designs, and the Planar Minkowski Inverse Problem: A One-Dimensional Model for Design-Induced Convex Geometry MXG9FV78NP

URI	`m2://res/MXG9FV78NP`
Kind	preprint
Creators	Congpei An
Date	2026-10-08
MSC	65-XX, 51-XX, 52-XX
Subjects	arxiv math.NA, arxiv cs.NA, arxiv math.MG
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Projection to the Gauss--Chebyshev formula	statement	theorem 3.1	arxiv
Exact Hausdorff error	statement	theorem 5.1	arxiv
Sharpness of the stability exponent	statement	proposition 6.3	arxiv
Planar Lipschitz stability	statement	proposition 6.1	arxiv
Stability of the quadratic grid rate	statement	corollary 6.4	arxiv
Exact mixed-area defect	statement	proposition 4.2	arxiv
Exact equal-weight circle rule	statement	theorem 2.2	arxiv
Minkowski reconstruction of the regular polygon	statement	proposition 4.1	arxiv
WYXQQ03BJJ	definition	definition 2.1	arxiv
Exact $W_1$ discrepancy	statement	proposition 6.2	arxiv