Ayodeji Lindblad

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20232026

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math.MG2025

Asymptotically short generalizations of $t$ -design curves

Ayodeji Lindblad

Ehler and Gröchenig defined spherical $t$ -design curves to be curves whose associated line integrals exactly average all degree at most $t$ polynomials. These authors posed the que…

math.MG2024

Asymptotically optimal $t$ -design curves on $S^{3}$

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…

math.MG2023

Designs related through projective and Hopf maps

Ayodeji Lindblad

We verify a construction which, for $K$ the reals, complex numbers, quaternions, or octonions, builds a spherical $t$ -design by placing a spherical $t$ -design on each $K$ …

Asymptotically short generalizations of t-design curves

Asymptotically optimal t-design curves on S3

Designs related through projective and Hopf maps

Asymptotically short generalizations of $t$ -design curves

Asymptotically optimal $t$ -design curves on $S^{3}$