Title

Ping Pong Balayage and Convexity of Equilibrium Measures

Document Type

Presentation

Presentation Date

9-24-2010

Conference Name

University of North Florida Colloquium

Conference Location

Jacksonville, FL, USA

Peer Review

Invited

Abstract

In this joint work with David Benko from the University of South Alabama we prove that the equilibrium measure of a finite union of intervals on the real line or arcs on the circle is absolutely continuous and has a convex density, a fundamental result in Potential theory, may be one for the books. This is true for both, the classical logarithmic case, and the Riesz case.

The Physics interpretation would be that the electrostatic distribution of many "electrons" on finitely many intervals/arcs has convex density. Applications of this result to external field problems and constrained energy problems are given.

Disciplines

Analysis | Mathematics

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Link to Original Published Item

http://www.unf.edu/coas/math-stat/seminars.html