Select Publications
Preprints
2024, Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?, http://dx.doi.org/10.48550/arxiv.2405.00120
,2023, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, http://dx.doi.org/10.1137/23M1603157
,2022, Needlets Liberated, http://arxiv.org/abs/2207.12838v1
,2022, Threshold condensation to singular support for a Riesz equilibrium problem, http://dx.doi.org/10.48550/arxiv.2206.04956
,2021, On the solution of a Riesz equilibrium problem and integral identities for special functions, http://dx.doi.org/10.48550/arxiv.2108.00534
,2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org/10.48550/arxiv.1911.11442
,2019, Numerical computation of triangular complex spherical designs with small mesh ratio, http://dx.doi.org/10.48550/arxiv.1907.13493
,2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org/10.48550/arxiv.1801.03212
,2017, Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case, http://dx.doi.org/10.48550/arxiv.1706.09346
,2015, Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation, http://dx.doi.org/10.48550/arxiv.1512.07470
,2015, Riemann localisation on the sphere, http://dx.doi.org/10.48550/arxiv.1510.06834
,2015, Fully discrete needlet approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1502.05806
,2014, Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces, http://dx.doi.org/10.48550/arxiv.1407.8311
,2012, Wendland functions with increasing smoothness converge to a Gaussian, http://dx.doi.org/10.48550/arxiv.1203.5696
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