Title

Utilization of Balayage Techniques to Minimal Energy Problems for Logarithmic and Riesz Potentials

Document Type

Presentation

Presentation Date

Spring 5-31-2012

Conference Name

Workshop on Potential Theory and Applications

Conference Location

Szeged, Hungary

Peer Review

Invited

Abstract

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.

Keywords

potential theory, balayage, equilibrium measure

Disciplines

Analysis | Mathematics

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