12 citations · 38 across the 12 of their papers we have counts for
5 papers · 2 filters
From Random Polynomials to Symplectic Geometry
Steve Zelditch
We review some recent results on random polynomials and their generalizations in complex and symplectic geometry. The main theme is the universality of statistics of zeros and crit…
Inverse Spectral Problem for Surfaces of Revolution
Steve Zelditch
This paper concerns the inverse spectral problem for analytic simple surfaces of revolution. By `simple' is meant that there is precisely one critical distance from the axis of rev…
Szego kernels and a theorem of Tian
Steve Zelditch
We give a simple proof of Tian's theorem that the Kodaira embeddings associated to a positive line bundle over a compact complex manifold are asymptotically isometric. The proof is…
Index and Dynamics of Quantized Contact Transformations
Steve Zelditch
Quantized contact transformations are Toeplitz operators over a contact manifold of the form , where is a Szego projector, where is…
Universality and scaling of zeros on symplectic manifolds
Pavel Bleher, Bernard Shiffman, Steve Zelditch
This article is concerned with random holomorphic polynomials and their generalizations to algebraic and symplectic geometry. A natural algebro-geometric generalization studied in…