J. Brauchart

activity

20072026

most citedThe support of the limit distribution of optimal Riesz energy points on sets of revolution in

R^{3}

6 citations · 6 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.CA2025

On the lower bounds for the spherical cap discrepancy

Dmitriy Bilyk, Johann S. Brauchart

We start by providing a very simple and elementary new proof of the classical bound due to J. Beck which states that the spherical cap $L_{2}$ -discrepancy of any $N$ points…

math.CA2024

Hyperuniform point sets on projective spaces

Johann S. Brauchart, Peter J. Grabner

We extend the notion of hyperuniformity to the projective spaces $RP^{d - 1}$ , $CP^{d - 1}$ , $HP^{d - 1}$ , and $OP^{2}$ . We show that hyperuniformity im…

math.CA2021

Weighted $L^{2}$ -Norms of Gegenbauer polynomials

Johann S. Brauchart, Peter J. Grabner

We study integrals of the form \begin{equation*} \int_{-1}^1(C_n^{(λ)}(x))^2(1-x)^α(1+x)^β\, dx, \end{equation*} where $C_{n}^{(λ)}$ denotes the Gegenbauer-polynomial of index $λ > 0$ …

On the lower bounds for the spherical cap discrepancy

Hyperuniform point sets on projective spaces

Weighted L2-Norms of Gegenbauer polynomials

Weighted $L^{2}$ -Norms of Gegenbauer polynomials