Boris Hanin

activity

20122026

most citedThe Principles of Deep Learning Theory

239 citations · 1.1k across the 35 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.PR2013★ 3 cited

Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator

Boris Hanin, Steve Zelditch, Peng Zhou

We consider Gaussian random eigenfunctions (Hermite functions) of fixed energy level of the isotropic semi-classical Harmonic Oscillator on $R^{n}$ . We calculate the expected d…

math-ph2013

Mean of the $L^{\infty}$ -norm for $L^{2}$ -normalized random waves on compact aperiodic Riemannian manifolds

Yaiza Canzani, Boris Hanin

This article concerns upper bounds for $L^{\infty}$ -norms of random approximate eigenfunctions of the Laplace operator on a compact aperiodic Riemannian manifold $(M, g) .$ We study $f…

math.CV2013★ 14 cited

Pairing of Zeros and Critical Points for Random Meromorphic Functions on Riemann Surfaces

Boris Hanin

We prove that zeros and critical points of a random polynomial $p_{N}$ of degree $N$ in one complex variable appear in pairs. More precisely, if $p_{N}$ is conditioned to have $p_N(ξ)=…

Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator

Mean of the L∞-norm for L2-normalized random waves on compact aperiodic Riemannian manifolds

Pairing of Zeros and Critical Points for Random Meromorphic Functions on Riemann Surfaces

Mean of the $L^{\infty}$ -norm for $L^{2}$ -normalized random waves on compact aperiodic Riemannian manifolds