211 citations · 1.3k across the 126 of their papers we have counts for
8 papers · 1 filter
Asymptotics of almost holomorphic sections on symplectic manifolds
B. Shiffman, S. Zelditch
We study the asymptotics of almost holomorphic sections of an ample line bundle over an almost complex symplectic manifold in the sense of Boutet de M…
Random polynomials with prescribed Newton polytope
Bernard Shiffman, Steve Zelditch
We show that the Newton polytope of a polynomial has a strong impact on the distribution of its mass and zeros. The basic theme is that Newton polytopes determine allowed and forbi…
Quantum ergodicity of boundary values of eigenfunctions
Andrew Hassell, Steve Zelditch
Suppose that Omega is a bounded, piecewise smooth Euclidean domain. We prove that the boundary values (Cauchy data) of eigenfunctions of the Laplacian on Omega with various boundar…
L^p norms of eigenfunctions in the completely integrable case
John A. Toth, Steve Zelditch
The eigenfunctions e^{i λx} of the Laplacian on a flat torus have uniformly bounded L^p norms. In this article, we prove that for every other quantum integrable Laplacian, the L^p…
Asymptotics of polynomials and eigenfunctions
Steve Zelditch
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…
Equilibrium distribution of zeros of random polynomials
Bernard Shiffman, Steve Zelditch
We consider ensembles of random polynomials of the form where are independent complex normal random variables and where are the or…