- Series
- SIAM Student Seminar
- Time
- Friday, February 5, 2010 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Linwei Xin – School of Mathematics, Georgia Tech
- Organizer
- Linwei Xin

We are dealing with the following minimization problem: inf {I(\mu): \mu
is a probability measure on R and \int f(x)=t_{0}}, where I(\mu) = \int
(x^2)/2 \mu(dx) + \int\int log|x-y|^{-1} \mu(dx)\mu(dy), f(x) is a bounded
continuous function and t is a given real number. Its motivation and its connection to radom matrices theory will be introduced. We will show that the solution is unique and has a compact support. The possible extension of the
class of f(x) will be discussed.