Asymptotics of polynomials and eigenfunctions

Details Asymptotics of polynomials and eigenfunctions Asymptotics of polynomials and eigenfunctions

2002-08-13

arxiv.org/abs/math/0208104v2

Proceedings of the ICM, Beijing 2002, vol. 2, 733--742

Mathematics

Classical Analysis and ODEs

Scientific paper

We review some recent results on asymptotic properties of polynomials of large degree, of general holomorphic sections of high powers of positive line bundles over Kahler manifolds, and of Laplace eigenfunctions of large eigenvalue on compact Riemannian manifolds. We describe statistical patterns in the zeros, critical points and L^p norms of random polynomials and holomorphic sections, and the influence of the Newton polytope on these patterns. For eigenfunctions, we discuss L^p norms and mass concentration of individual eigenfunctions and their relation to dynamics of the geodesic flow.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of polynomials and eigenfunctions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics of polynomials and eigenfunctions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of polynomials and eigenfunctions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579998