239 citations · 1.1k across the 35 of their papers we have counts for
5 papers · 1 filter
Local Universality for Zeros and Critical Points of Monochromatic Random Waves
Yaiza Canzani, Boris Hanin
This paper concerns the asymptotic behavior of zeros and critical points for monochromatic random waves of frequency on a compact, smooth, Riemannian manifold as…
Nodal Sets of Smooth Functions with Finite Vanishing Order and p-Sweepouts
Thomas Beck, Spencer T. Becker-Kahn, Boris Hanin
We show that on a compact Riemmanian manifold , nodal sets of linear combinations of any smooth functions form an admissible sweepout provided these linear combina…
Scaling of Harmonic Oscillator Eigenfunctions and Their Nodal Sets Around the Caustic
Boris Hanin, Steve Zelditch, Peng Zhou
We study the scaling asymptotics of the eigenspace projection kernels of the isotropic Harmonic Oscillator of eigenvalue $E = \hbar(N + \f…
C-infinity Scaling Asymptotics for the Spectral Function of the Laplacian
Yaiza Canzani, Boris Hanin
This article concerns new off-diagonal estimates on the remainder and its derivatives in the pointwise Weyl law on a compact n-dimensional Riemannian manifold. As an application, w…
Pairing of Zeros and Critical Points for Random Polynomials
Boris Hanin
Let p_N be a random degree N polynomial in one complex variable whose zeros are chosen independently from a fixed probability measure mu on the Riemann sphere S^2. This article pro…