Potential theory, Minimal energy, Equidistribution, Orthogonal polynomials:

Papers:

[20] S. B. Damelin, A Koksma-Hlawka-Potential Identity on the $d$ Dimensional Sphere and its Applications to Discrepancy, arxiv: 1707.08929.

[19] S. B. Damelin and R. Renya, On the Fascinating Structure of the Littlewood Polynomials and their Zero Sets, arxiv: 1504.08058.

[18] D. Benko, S. B. Damelin and P. Dragnev, On supports of equilibrium measures with concave signed equilibria and the Iterated Balayage Algorithm, Journal of Computational Analysis and Applications, 9 (2012), pp 8-15.

[17] S. B. Damelin, F. Hickernell, D. Ragozin and X. Zeng, On energy, discrepancy and G invariant measures on measurable subsets of Euclidean space, Journal of Fourier Analysis and its Applications (2010) (16), pp 813-839.

[16] S. B. Damelin, J. Levesley, D. L. Ragozin and X. Sun, Energies, Group Invariant Kernels and Numerical Integration on Compact Manifolds, Journal of Complexity, 25(2009), pp 152-162.

[15] S. B. Damelin, A Walk through Energy, Discrepancy, Numerical Integration and Group Invariant Measures on Measurable Subsets of Euclidean Space, Numerical Algorithms, Volume 48 Number 1-3(2008), pp 213-235.

[14] S. B. Damelin, Advances on regularity and dislocation properties of Energy minimizing configurations, discrepancy, manifold learning and their applications, Algorthms for Approximation, (2007), pp 369-400.

[13] S. B. Damelin and V. Maymeskul, Minimal Discrete Energy Problems and Numerical Integration on Compact Sets in Euclidean Spaces, Algorithms for Approximation, (2007) pp 359-368.

[12] D. Benko, S. B. Damelin and P. Dragnev, On the support of the equilibrium measure for arcs of the unit circle and real intervals, Electronic Transactions on Numerical Analysis, (25)(2006), pp 27-40.

[11] S. B. Damelin, V. Maymeskul, On Point Energies, Separation Radius and Mesh Norm for s-Extremal Configurations on Compact Sets in R^n, Journal of Complexity, Volume 21(6)(2006), pp 845-863.

[10] S.B. Damelin, J. Levesley and X. Sun, Energy estimates and the Weyl criterion on compact homogeneous manifolds, Algorithms for Approximation, (2007), pp 359-368.

[9] S.B. Damelin, Another look at an old paper of Geza Freud, Approximation Theory X, Charles Chui, Larry Schumaker and Joachim Stoekler (eds.), pp. 1-3.

[8] S.B. Damelin, Asymptotics of recurrence coefficients for orthonormal polynomials on the line-Magnus's method revisited, Mathematics of Computation, 73(2004), pp 191-209.

[7] S.B. Damelin and P. Grabner, Energy functionals, Numerical integration and Asymptotic equidistribution on the sphere, Journal of Complexity, 19(2003), pp 231-246. (Postscript) Corrigendum, Journal of Complexity, (20)(2004), pp 883-884.

[6] S.B. Damelin, On the maximum modulus of weighted polynomials in the plane, a theorem of Rakhmanov, Mhaskar and Saff revisited, Journal of Computational and Applied Mathematics, vol. 155 (2003), pp 455-459.

[5] S.B. Damelin, Weighted polynomial approximation on discrete sets, Monatshefte fur Mathematik, (138)(2)(2003), pp 111-131.

[4] S.B. Damelin, The distribution of general interpolation arrays for exponential weights, Electronic Transactions of Numerical Analysis, Volume 12, 2002, pp 12-20.

[3] S.B. Damelin, P. Dragnev and A. Kuijlaars, The support of the equilibrium measure for a class of external fields on a finite interval, Pacific Journal of Mathematics, Volume 199 (2)(2001), pp 303-321.

[2] S.B. Damelin and A. Kuijlaars, The support of the extremal measure for monomial external fields on [ -1,1]., Trans.Amer.Math. Soc. 351 (1999), 4561-4584.

[1] S. B. Damelin and E. B. Saff, Asymptotics of Weighted Polynomials on Varying Discrete Sets-Paper 181, submitted.