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

ICERM Semester Program on “Point Configurations in Geometry, Physics and Computer Science”
(February 1 – May 4, 2018)
https://icerm.brown.edu/programs/sp-s18/

Recent Articles

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), submitted.

On spherical codes with inner products in a prescribed interval (with P. Boyvalenkov, P. Dragnev, D. Hardin, and M. Stoyanova), submitted.

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

Constrained minimum Riesz energy problems for a condenser with intersecting plates (with P.D. Dragnev, B. Fuglede, D.P. Hardin, and N. Zorii), submitted.

Local properties of Riesz minimal energy configurations and equilibrium measures (with D. Hardin, A. Reznikov and A. Volberg), IMRN (accepted) [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, accepted [PDF]

Large deviation principles for hypersingular Riesz gases (with D.P. Hardin, T. Leblé, and S. Serfaty), Constr. Approx., accepted. [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), Math Sbornik, accepted. [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., accepted [PDF]

Generating Point Configurations via Hypersingular Riesz Energy with an External Field (with D. Hardin and O. Vlasiuk) SIAM J. Math Analysis, 49 (2017), no. 1, 646–673. [PDF]

Random Point Sets on the Sphere-Hole Radii, Covering, and Separation (with J. Brauchart, A. Reznikov, I. Sloan, Y.G. Wang and R. Womersley) Experimental Math, 27 (2018), no. 1, 62-81. [PDF]

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