Utilization of Balayage Techniques to Minimal Energy Problems for Logarithmic and Riesz Potentials
Workshop on Potential Theory and Applications
In this talk we showcase various applications of balayage techniques to minimal energy problems on the real line/unit circle, as well as the unit sphere Sd. Based on recent joint work with Benko and Totik on convexity of equilibrium measures and applications, and with Brauchart and Saff on separation of Q-optimal configurations, we shall focus on the common balayage approaches to illustrate this powerful tool.
potential theory, balayage, equilibrium measure
Analysis | Mathematics
Peter D. Dragnev, David Benko, Totik Vilmos, Johann S. Brauchart, and Edward B. Saff (2012).
Utilization of Balayage Techniques to Minimal Energy Problems for Logarithmic and Riesz Potentials. Presented at Workshop on Potential Theory and Applications, Szeged, Hungary.