12 citations · 34 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
Wave Invariants for Non-degenerate Closed Geodesics
Steve Zelditch
This paper generalizes the methods and results of our article xxx.lanl.gov math.SP/0002036 from elliptic to general non-degenerate closed geodesics. The main purpose is to introduc…
Wave invariants at elliptic closed geodesics
Steve Zelditch
This paper concerns spectral invariants of the Laplacian on a compact Riemannian manifold (M,g) known as wave invariants. If U(t) denotes the wave group of (M,g), then the trace Tr…
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…