O. Yakir

activity

20182026

most citedFluctuations of linear statistics for Gaussian perturbations of the lattice

Z^{d}

6 citations · 13 across the 12 of their papers we have counts for

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Showing 2025Show all

5 papers · 1 filter

math.PR2025

A simple proof of local universality for roots of Kac polynomials

Marcus Michelen, Oren Yakir

Let $f_{n}$ be a random polynomial of degree $n$ with i.i.d. mean-zero and finite variance random coefficients. It is well known that the roots of $f_{n}$ cluster uniformly around the…

math.PR2025

Correlation decay for U(1) lattice Higgs theory: the case of small mass

Sourav Chatterjee, Oren Yakir

We study the lattice Yang-Mills-Higgs model with inverse gauge coupling $β > 0$ and Higgs length $α > 0$ , in the ``complete breakdown of symmetry" regime. For lattice dimension $d\ge 2…

math.PR2025

Optimal matchings of randomly perturbed lattices

Dor Elboim, Yinon Spinka, Oren Yakir

Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the la…

math.PR2025

Law of large numbers for the discriminant of random polynomials

Marcus Michelen, Oren Yakir

Let $f_{n}$ be a random polynomial of degree $n$ , whose coefficients are independent and identically distributed random variables with mean-zero and variance one. Let $Δ (f_{n})$ denote…

math.PR2025

Limit law for root separation in random polynomials

Marcus Michelen, Oren Yakir

Let $f_{n}$ be a random polynomial of degree $n \geq 2$ whose coefficients are independent and identically distributed random variables. We study the separation distances between roots…