12 citations · 34 across the 11 of their papers we have counts for
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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…
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…