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

ESI WORKSHOP “Optimal Point Configurations on Manifolds,” Jan. 10-21,2022,
https://www.esi.ac.at/events/e386/

Recent Book

“Discrete Energy on Rectifiable Sets” (jointly authored with S. Borodachov and D. Hardin), Springer Monographs in Mathematics, 2019. ISBN 978-0-387-84807-5 (666 pages) https://www.springer.com/gp/book/9780387848075
“Errata

Recent Articles

Asymptotics of k-nearest neighbor Riesz energies (with D.P. Hardin and O.Vlasiuk) submitted

Riesz Energy Problems with External Fields and Related Theory (with P. Dragnev, R. Orive and F. Wielonsky) submitted.

Dynamics of particles on a curve with pairwise
hyper-singular repulsion (with D. Hardin, R.
Shu, E. Tadmor), accepted.

Universal Bounds for Size and Energy of Codes of Given Minimum and Maximum Distances, (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), IEEE Trans. Inform Theory, accepted.

On the search for tight frames of low coherence, (with X. Chen and D. Hardin),
J. Fourier Anal Appl 27, 2 (2021).
https://doi.org/10.1007/s00041-020-09790-2

On two problems concerning universal bounds for codes, (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova) Proc. XVI International Symposium “Problems of Redundancy in Information and Control Systems”, 2019, 58-63.

Linear programming bounds for energy and cardinality of codes of given min and max distances,(with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova) Proc. IEEE International Symposium on Information Theory, Paris, July 2019, 1747-1751 (https://ieeexplore.ieee.org/document/8849388)

Bounds for spherical codes: the Levenshtein framework lifted (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), Math. Comp. to appear.

Upper bounds for energies of spherical codes of given cardinality and separation,
(with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova) Designs, Codes and Cryptography, vol. 88, 2020, 1811-1826.

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

Perturbations of Christoffel-Darboux Kernels. I: Detection of Outliers (with B. Beckermann, M. Putinar, and N. Stylianopoulos) FoCM, accepted https://doi.org/10.1007/s10208-020-09458-9.

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