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Dive into the research topics where Boris Hanin is active.

Publication


Featured researches published by Boris Hanin.


International Mathematics Research Notices | 2015

Correlations and Pairing between Zeros and Critical Points of Gaussian Random Polynomials

Boris Hanin

We study the asymptotics of correlations and nearest neighbor spacings between zeros and holomorphic critical points of


Analysis & PDE | 2015

Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law

Yaiza Canzani; Boris Hanin

p_N


Annales De L Institut Henri Poincare-probabilites Et Statistiques | 2017

Pairing of zeros and critical points for random polynomials

Boris Hanin

, a degree N Hermitian Gaussian random polynomial in the sense of Shiffman and Zeldtich, as N goes to infinity. By holomorphic critical point we mean a solution to the equation


Electronic Research Announcements in Mathematical Sciences | 2015

Fixed frequency eigenfunction immersions and supremum norms of random waves

Boris Hanin; Yaiza Canzani

\frac{d}{dz}p_N(z)=0.


Mathematical Research Letters | 2015

Pairing of zeros and critical points for random meromorphic functions on Riemann surfaces

Boris Hanin

Our principal result is an explicit asymptotic formula for the local scaling limit of


Communications in Mathematical Physics | 2017

Scaling of Harmonic Oscillator Eigenfunctions and Their Nodal Sets Around the Caustic

Boris Hanin; Steve Zelditch; Peng Zhou

\E{Z_{p_N}\wedge C_{p_N}},


International Mathematics Research Notices | 2015

Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator

Boris Hanin; Steve Zelditch; Peng Zhou

the expected joint intensity of zeros and critical points, around any point on the Riemann sphere. Here


arXiv: Machine Learning | 2017

Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations.

Boris Hanin

Z_{p_N}


arXiv: Machine Learning | 2017

Approximating Continuous Functions by ReLU Nets of Minimal Width.

Boris Hanin; Mark Sellke

and


arXiv: Probability | 2016

Local Integral Statistics for Monochromatic Random Waves

Yaiza Canzani; Boris Hanin

C_{p_N}

Collaboration


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Yaiza Canzani

University of North Carolina at Chapel Hill

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Thomas Beck

Massachusetts Institute of Technology

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Peng Zhou

Northwestern University

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David Rolnick

University of Pennsylvania

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Erik Lundberg

Florida Atlantic University

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