E. Wyman

activity

20172026

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Showing 2021Show all

2 papers · 1 filter

math.CO2021

The VC-dimension and point configurations in $F_{q}^{2}$

D. Fitzpatrick, A. Iosevich, B. McDonald +1

Let $X$ be a set and $H$ a collection of functions from $X$ to ${0, 1}$ . We say that $H$ shatters a finite set $C \subset X$ if the restriction of ${\mathcal…

math.AP2021

Triangles and triple products of Laplace eigenfunctions

Emmett L. Wyman

Consider an $L^{2}$ -normalized Laplace-Beltrami eigenfunction $e_{λ}$ on a compact, boundary-less Riemannian manifold with $Δ e_{λ} = - λ^{2} e_{λ}$ . We study eigenfunction triple products \[ \…

The VC-dimension and point configurations in Fq2​

Triangles and triple products of Laplace eigenfunctions

The VC-dimension and point configurations in $F_{q}^{2}$