Ramón A. Orive Rodríguez
Universidad de La Laguna, Ténérife
Date(s) : 28/11/2016 iCal
10 h 00 min - 11 h 00 min
In this talk, equilibrium problems in the presence of external fields created by a finite number of point masses are discussed, both for the s-Riesz Potentials and for the Logarithmic Potential (the latter is often seen as a limit case of the former ones). This kind of equilibrium problems has a number of important applications, passing from electrostatic problems to the study of of the asymptotic behavior of orthogonal polynomials or the limit density of eigenvalues of random matrices. We are especially concerned with the case of one or two negative point masses (“attractors”). This talk is based on recent joint works with David Benko (Univ. South Alabama, Mobile, USA), Peter Dragnev (IPFW, Indiana, USA) and Joaquín Sánchez Lara (Univ. Granada, Spain).