12 citations · 34 across the 11 of their papers we have counts for
5 papers · 1 filter
Counter-example to conjectured SU(N) character asymptotics
T. Tate, S. Zelditch
We give a counterexample to the large asymptotics of character values of irreducible characters of SU(N) conjectured in papers of Gross-Matytsin and Kazakov-Wynter in…
Billiards and boundary traces of eigenfunctions
Steve Zelditch
This is a report for the 2003 Forges Les Eaux PDE conference on recent results with A. Hassell on quantum ergodicity of boundary traces of eigenfunctions on domains with ergodic bi…
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…