Ed Saff

E. B. Saff

Professor of Mathematics
Director, Center for Constructive Approximation
1326 Stevenson Center
Vanderbilt University
Nashville, TN 37240
Tel. 615-322-2014615-322-2014 Fax 615-343-0215
Email: Edward.B.Saff@Vanderbilt.Edu

Upcoming Conferences/Programs

Optimal Point Configurations and Potential Theory
CIEM Castro Urdiales, Cantabria, Spain, April 8th-11th, 2019

Recent Articles

Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics (with D. Hardin, and M. Petrache) submitted.

Perturbations of Christoffel-Darboux Kernels. I: Detection of Outliers (with B. Beckermann, M. Putinar, and N. Stylianopoulos) submitted.

Inverse Potential Problems for Divergence of Measures with Total Variation Regularization
(with L. Baratchart, C.Guillen, D. Hardin, M. Northington) submitted.

Energy Bounds for Codes in Polynomial Metric Spaces (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), submitted.

Asymptotic Linear Programming Lower Bounds for the Energy of Minimizing Riesz and Gauss Configurations (with D.P. Hardin and T.J. Michaels), Mathematika, 65, 2019, no. 1, 157-180

On spherical codes with inner products in a prescribed interval (with P. Boyvalenkov, P. Dragnev, D. Hardin, and M. Stoyanova), Des. Codes Cryptogr. (2018). https://doi.org/10.1007/s10623-018-0524-z.

Condensers with touching plates and constrained minimum Riesz and Green energy problems (with P.D. Dragnev, B. Fuglede, D.P. Hardin, and N. Zorii), Constructive Approximation (to appear).

Constrained minimum Riesz energy problems for a condenser with intersecting plates (with P.D. Dragnev, B. Fuglede, D.P. Hardin, and N. Zorii), Journal d’Analyse Mathematique (to appear).

Local properties of Riesz minimal energy configurations and equilibrium measures (with D. Hardin, A. Reznikov and A. Volberg), IMRN, rnx262, https://doi.org/10.1093/imrn/rnx262 [PDF]

Logarithmic and Riesz equilibrium for multiple sources on the sphere-the exceptional case (with J. Brauchart, P. Dragnev, and R. Womersley), accepted In: Contemporary Computational Mathematics – a celebration of the 80th birthday of Ian Sloan (J. Dick, F. Y. Kuo, H. Wozniakowski, eds.),
Springer-Verlag, 2018. [PDF]

Covering and separation of Chebyshev points for non-integrable Riesz potentials
(with A. Reznikov and A. Volberg), J. Complexity, Volume 46, June 2018, Pages 19-44 [PDF]

Large deviation principles for hypersingular Riesz gases (with D.P. Hardin, T. Leblé, and S. Serfaty), Constr. Approx., 48(1), 2018, 61–100. [PDF]

A Minimum Principle for Potentials with Application to Chebyshev Constants (with A. Reznikov and O. Vlasiuk), Potential Analysis, 47 (2017), no. 2, 235–244 [PDF]

Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures (with N. Stylianopoulos), Sbornik: Mathematics(2018), 209 (3):449 [PDF]

A Comparison of Popular Point Configurations on S^2 (with D. Hardin and T. Michaels), Dolomites Research Notes on Approximation, vol.9, 2016, 16-49. [PDF]

Optimal discrete measures for Riesz potentials, (with Sergiy V Borodachov, Douglas P. Hardin, Alexander Reznikov) Trans. Amer. Math. Soc., 370(10), 2018, 6973-6993. [PDF]

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