35 citations · 96 across the 16 of their papers we have counts for
4 papers · 1 filter
Number variance of random zeros on complex manifolds
Bernard Shiffman, Steve Zelditch
We show that the variance of the number of simultaneous zeros of i.i.d. Gaussian random polynomials of degree in an open set with smooth boundary is asympto…
Counting String Vacua
S. Zelditch
This article reviews recent work with M.R.Douglas and B. Shiffman on statistics of vacua in type IIb flux compactions of string/M theory.
Patterson-Sullivan distributions and quantum ergodicity
Nalini Anantharaman, Steve Zelditch
We relate two types of phase space distributions associated to eigenfunctions of the Laplacian on a compact hyperbolic surface : (1) Wigner distributions $\int_{S^*…
Number variance of random zeros
Bernard Shiffman, Steve Zelditch
The main results of this article are asymptotic formulas for the variance of the number of zeros of a Gaussian random polynomial of degree in an open set as the d…