School of Mathematical Sciences
Monday, November 21, 2011
Schreiber 006, 12:15
The Hebrew University of Jerusalem
The Christoffel-Darboux Kernel and Its Applications to Universality and to Level Spacings for Jacobi Matrices
Given a probability measure mu on the real line,
the Christoffel-Darboux (CD) kernel is the kernel of the projection in L^2(mu)
onto the subspace of polynomials of degree less than n.
As well as playing a fundamental role in random matrix theory,
it is extremely useful in the study of the spacings of zeros of the
orthogonal polynomials for mu.
After discussing some of its basic properties,
the talk will review the topics described above,
with an emphasis on recent results and open problems.
Coffee will be served at 12:00 before the lecture
at Schreiber building 006