Ed Saff

Edward Barry Saff

Distinguished Research Professor, Vanderbilt University

Distinguished Professor of Mathematics, Emeritus, Vanderbilt University

Director, Center for Constructive Approximation
1326 Stevenson Center
Vanderbilt University
Nashville, TN 37240
Email: edward.b.saff@vanderbilt.edu,  Office phone: +1  615 779 4128

Upcoming Conferences/Programs

“Energy and Polarization Problems in Mathematics and Statistics, part I,”  Aug 16-19, 2026, Vanderbilt University. Organized by Doug Hardin, Ed Saff and Raffaello Seri.

Recent Book

Recent Advances in Approximation and Potential Theory; in Honor of Edward Saff, edited by D. Bilyk,  E. Iacob, A. Martinez-Finkelshtein, A. M. Stokolos

https://link.springer.com/book/10.1007/978-3-031-95551-8

Recent Articles

“Riesz equilibrium on a ball in the external field of a point charge”, Authors: Peter D. Dragnev, Ramon Orive, Edward B. Saff, Franck Wielonsky, arXiv:2501.01208 

“Bounds on energy and potentials of discrete measures on the sphere” Authors: S. Borodachov, P. Boyvalenkov, P. Dragnev, D. Hardin, E. Saff, M. Stoyanova,   arXiv:2412.07442

“Bounds on Discrete Potentials of Spherical (k,k)-Designs” Authors: S. Borodachov, P. Boyvalenkov, P. Dragnev. D. Hardin. E. Saff, M. Stoyanova  arXiv:2411.00290

“Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?” (with Djalil Chafaï, Ryan W. Matzke, Minh Quan H. Vu, Robert S. Womersley), https://arxiv.org/abs/2405.00120

On a problem of E. Meckes for the unitary eigenvalue process on an arc, (with Liudmyla Kryvonos), accepted by Analysis and Math Physics journal, https://arxiv.org/abs/2402.11096

Energy bounds for weighted spherical codes and designs via linear programming, (with Sergiy Borodachov, Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Maya Stoyanova) arXiv:2403.07457

Universal minima of discrete potentials for sharp spherical codes, (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), accepted for publication in Revista Matemática Iberoamericana.  https://arxiv.org/pdf/2211.00092.pdf

On Polarization of Spherical Codes and Designs (with P. Boyvalenkov, P. Dragnev, D.P. Hardin and M. Stoyanova), JMAA (J. Math Analysis and Appl.) , Vol. 524, #1, August 2023, 127065. arXiv:2207.08807

Archetype tasks link intratumoral heterogeneity to plasticity and 2cancer hallmarks in small cell lung cancer (with Sarah M. Groves et al), Cell Systems, 2022 Sep 21;13(9):690-710.e17. doi: 10.1016/j.cels.2022.07.006. Epub 2022 Aug 17.

Point source equilibrium problems with connections to weighted quadrature domains,(with P. Dragnev and A. Legg), Indag. Math. (N.S.) 34 (2023), no. 2, 200–218. arXiv:2203.09421

Threshold Condensation to Singular Support for a Riesz Equilibrium Problem (with Djalil Chafaï and Robert S. Womersley), Analysis and Math Phys, Vol. 13, article 19, Jan. 30, 2023.  https://arxiv.org/abs/2206.04956

On the solution of a Riesz equilibrium problem and integral
identities for special functions (with Djalil Chafaï and Robert S. Womersley),
J. Math. Anal. and App., Volume 515, Issue 1, 1 November 2022, 126367

Asymptotics of k-nearest neighbor Riesz energies (with D.P. Hardin and O.Vlasiuk) Constructive Approximation journal, DOI:https://doi.org/10.1007/s00365-023-09641-5, April, 2023.  https://arxiv.org/abs/2201.00474

Riesz Energy Problems with External Fields and Related Theory (with P. Dragnev, R. Orive and F. Wielonsky) , Constr. Approx. 57 (2023), no. 1, 1–43. arXiv:2104.03733

Dynamics of particles on a curve with pairwise hyper-singular repulsion (with D. Hardin, R. Shu, E. Tadmor), Discrete Contin. Dyn. Syst. 41 (2021), no. 12, 5509–5536.  arXiv:2010.05431

Google Scholar Profile