12 citations · 18 across the 7 of their papers we have counts for
14 papers
Distribution laws for integrable eigenfunctions
Bernard Shiffman, Tatsuya Tate, Steve Zelditch
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kahler variety. Such varieties are models of completely integrable systems in complex geomet…
Harmonic Analysis on Toric Varieties
B. Shiffman, T. Tate, S. Zelditch
Harmonic analysis on a toric Kahler variety M refers to the orthonormal basis of eigenfunctions of the complex torus action on the spaces H^0(M, L^N) of holomorphic sections of pow…
Random polynomials of high degree and Levy concentration of measure
B. Shiffman, S. Zelditch
We show that the L^p norms of random sequences {s_N} of L^2 normalized holomorphic sections of increasing powers of an ample line bundle on a compact Kahler manifold are almost sur…
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…