By Associate Professor Robert Womersley

Preprints

Chafaï D; Matzke RW; Saff EB; Vu MQH; Womersley RS, 2024, Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?, http://dx.doi.org/10.48550/arxiv.2405.00120

Hamann J; Gia QTL; Sloan IH; Womersley RS, 2023, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, http://dx.doi.org/10.1137/23M1603157

Brauchart JS; Grabner PJ; Sloan IH; Womersley RS, 2022, Needlets Liberated, http://arxiv.org/abs/2207.12838v1

Chafaï D; Saff EB; Womersley RS, 2022, Threshold condensation to singular support for a Riesz equilibrium problem, http://dx.doi.org/10.48550/arxiv.2206.04956

Chafaï D; Saff EB; Womersley RS, 2021, On the solution of a Riesz equilibrium problem and integral identities for special functions, http://dx.doi.org/10.48550/arxiv.2108.00534

Sourisseau M; Wang YG; Womersley RS; Wu H-T; Yu W-H, 2020, Improve Concentration of Frequency and Time (Conceft) by Novel Complex Spherical Designs, http://dx.doi.org/10.1101/2020.11.23.394007

Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org/10.48550/arxiv.1911.11442

Wang YG; Womersley RS; Wu H-T; Yu W-H, 2019, Numerical computation of triangular complex spherical designs with small mesh ratio, http://arxiv.org/abs/1907.13493v3

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org/10.48550/arxiv.1801.03212

Womersley RS, 2017, Efficient Spherical Designs with Good Geometric Properties, http://arxiv.org/abs/1709.01624v1

Brauchart JS; Dragnev PD; Saff EB; Womersley RS, 2017, Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case, http://dx.doi.org/10.48550/arxiv.1706.09346

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2016, Random Point Sets on the Sphere—Hole Radii, Covering, and Separation, http://dx.doi.org/10.1080/10586458.2016.1226209

Gia QTL; Sloan IH; Wang YG; Womerlsey RS, 2015, Needlet approximation for isotropic random fields on the sphere, http://arxiv.org/abs/1512.07790v2

Wang YG; Sloan IH; Womersley RS, 2015, Riemann localisation on the sphere, http://arxiv.org/abs/1510.06834v2

Wang YG; Gia QTL; Sloan IH; Womersley RS, 2015, Fully discrete needlet approximation on the sphere, http://dx.doi.org/10.48550/arxiv.1502.05806

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2014, Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Chernih A; Sloan IH; Womersley RS, 2012, Wendland functions with increasing smoothness converge to a Gaussian, http://dx.doi.org/10.48550/arxiv.1203.5696

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