12 citations · 18 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
Constructing low degree hyperbolic surfaces in P^3
Bernard Shiffman, Mikhail Zaidenberg
We describe a new method of constructing Kobayashi-hyperbolic surfaces in complex projective 3-space based on deforming surfaces with a "hyperbolic non-percolation" property. We us…