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math.MG2025
Asymptotically short generalizations of -design curves
Ayodeji Lindblad
Ehler and Gröchenig defined spherical -design curves to be curves whose associated line integrals exactly average all degree at most polynomials. These authors posed the que…
math.MG2024
Asymptotically optimal -design curves on
Ayodeji Lindblad
A $\textit{spherical $t$-design curve}$ was defined by Ehler and Gröchenig to be a continuous, piecewise smooth, closed curve on the sphere with finitely many self-intersections wh…