O. Yakir

activity

20242026

collaborators

10 papers

math.CA2026

Dragon curves in Littlewood roots

Marcus Michelen, Oren Yakir

A Littlewood polynomial is a polynomial whose coefficients lie in ${- 1, + 1}$ . While the majority of roots of a Littlewood polynomial of large degree are near the unit circle, nu…

math.PR2026

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.PR2026

Gaussian limits of lattice Higgs models with complete symmetry breaking

Frederick Rajasekaran, Oren Yakir, Yanxin Zhou

Given any compact connected matrix Lie group $G$ and any lattice dimension $d \geq 2$ , we construct a massive Gaussian scaling limit for the $G$ -valued lattice Yang-Mills-Higgs theor…

math.PR2026

Optimal factor matchings for point processes on non-amenable unimodular graphs

Yinon Spinka, Oren Yakir

Consider a unit-intensity point process $I^$ on the vertex set $V$ of a transitive non-amenable unimodular graph. We study invariant matchings between $I^$ and $V$ having small typ…

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 $I^^{2} > 0$ and Higgs length $I^\pm > 0$ , in the ``complete breakdown of symmetry" regime. For lattice dimension $d\ge…

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…