271 citations · 304 across the 7 of their papers we have counts for
7 papers
Interface asymptotics of partial Bergman kernels on -symmetric Kaehler manifolds
Steve Zelditch, Peng Zhou
This article is concerned with asymptotics of equivariant Bergman kernels and partial Bergman kernels for polarized projective Kahler manifolds invariant under a Hamiltonian holomo…
Large deviations of empirical measures of zeros on Riemann surfaces
S. Zelditch
This is a continuation of a project on large deviations for the empirical measures of zeros of random holomorphic sections of random line bundles over a Riemann surface X. In a pre…
Large deviations of empirical zero point measures on Riemann surfaces, I:
O. Zeitouni, S. Zelditch
We prove an LDP for the empirical measure of complex zeros of a Gaussian random complex polynomial of degree N of one variable as N tends to infinity. The Gaussian measure is induc…
Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds: an addendum
B. Shiffman, S. Zelditch
We define a Gaussian measure on the space of almost holomorphic sections of powers of an ample line bundle over a symplectic manifold , and calculate th…
Random polynomials with prescribed Newton polytope, I
Bernard Shiffman, Steve Zelditch
The Newton polytope of a polynomial is well known to have a strong impact on its zeros, as in the Kouchnirenko-Bernstein theorem on the number of simultaneous zeros of $m…
Spacings between phase shifts in a simple scattering problem
Steve Zelditch, Maciej Zworski
We prove a scattering theoretical version of the Berry-Tabor conjecture: for an almost every surface in a class of cylindrical surfaces of revolution, the large energy limit of the…