Norman Levenberg: Pluripotential Energy and Large Deviation

V torek, 15. novembra ob 12. uri in 30 minut bo v okviru seminarja za kompleksno analizo predaval prof. Norman Levenberg z univerze Indiana University, Bloomington, ZDA.

Title: Pluripotential Energy and Large Deviation.

Abstract: We first discuss some classical potential-theoretic notions and their weighted counterparts in the complex plane C (e.g., transfinite diameter, Fekete points, Green functions) before giving pluripotential-theoretic analogues in C^N for N > 1. To motivate one possible definition of the energy of a measure on a compact set K in C^N, we will then briefly discuss some interesting probabilistic results of Berman, Bloom, Shiffman, Zelditch and others. This will  lead us to a very general "large deviation principle" for a canonical sequence of probability measures on K. When N=1, these include the joint probability distributions of the eigenvalues of unitary ensembles from the theory of random matrices. This is joint work with Tom Bloom.

Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Josip Globevnik