Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Duc-Viet Vu, 德国科隆大学博士后
Inviter:
Title:	Equidistribution of Fekete points of large orders
Time & Venue:	2019.09.11 15:00-17:00 N902
Abstract:	Let K be a compact with piecewise smooth boundary in n-dimensional Euclidean space and N_k the dimension of the vector space of the restrictions of real polynomials of n variables to K. A Fekete point of order k is a point in K^{N_k} maximizing the determinant of a certain matrix of Vandermonde type. These points are important in the interpolation problem of continuous functions on K by polynomials. By using deep tools from complex geometry, pluripotential theory, and the Cauchy-Riemann geometry, we prove that Fekete points of large order are equidistributed toward a canonical measure associated to K with an explicit rate of convergence.