University of Toronto
                  PDE/Applied Math/Analysis Seminar
                  Friday 16. November, 1:10-2:00pm
                          6183 Bahen Center      



SPEAKER:  Al Baernstein (Washington University in St. Louis)

TITLE:    Moment inequalities for equilibrium measures 
          in the plane.

ABSTRACT: The equilibrium measure of a compact plane set gives 
          the steady state distribution of charges on the 
          conductor. We show that certain moments of this 
          equilibrium measure, when taken about the electrostatic 
          centroid and depending only on the real coordinate, 
          are extremal for an interval centered at the origin. 
          This has consequences for means of zeros of polynomials 
          and for means of critical points of Green functions.
          We also study moments depending only on the distance 
          from the centroid, such as the electrostatic moment of 
          inertia.
	  


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2007-2008 organizers:
          Walid Abou-Salem      walid@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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