Department of Mathematics, Massachusetts Institute of Technology (MIT)
Email: oren.yakir@gmail.com
I am a C.L.E. Moore Instructor and NSF postdoctoral fellow at MIT. Before that, I spent a year at Stanford University as an NSF postdoctoral fellow.
I completed my PhD at Tel Aviv University, under the supervision of Alon Nishry and Mikhail Sodin. My research focuses on Analysis and its applications in Probability Theory and Mathematical Physics.
A simple proof of local universality for roots of Kac polynomials.
With Marcus Michelen. Preprint. [arXiv]
Correlation decay for U(1) lattice Higgs theory: the case of small mass.
With Sourav Chatterjee. Preprint. [arXiv]
Optimal matchings of randomly perturbed lattices.
With Dor Elboim and Yinon Spinka. Preprint. [arXiv]
Law of large numbers for the discriminant of random polynomials.
With Marcus Michelen. Preprint. [arXiv]
Limit law for root separation in random polynomials.
With Marcus Michelen. Preprint. [arXiv]
Large charge fluctuations in the hierarchical Coulomb gas.
With Alon Nishry. Probability and Mathematical Physics, 2025. [arXiv]
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere.
With Marcus Michelen. Probability Theory and Related Fields, 2024. [arXiv]
The random Weierstrass zeta function II. Fluctuations of the electric flux through rectifiable curves.
With Mikhail Sodin and Aron Wennman. J. Stat. Phys., 2023. [arXiv]
The random Weierstrass zeta function I. Existence, uniqueness, fluctuations.
With Mikhail Sodin and Aron Wennman. J. Stat. Phys., 2023. [arXiv]
Universality of Poisson limits for moduli of roots of Kac polynomials.
With Nicholas Cook, Hoi Nguyen and Ofer Zeitouni. Int. Math. Res. Not. (IMRN), 2023. [arXiv]
Approximately half of the roots of a random Littlewood polynomial are inside the disk.
Studia Math., 2021. [arXiv]
Fluctuations of linear statistics for Gaussian perturbations of the lattice Z^d.
J. Stat. Phys., 2021. [arXiv]
The minimum modulus of Gaussian trigonometric polynomials.
With Ofer Zeitouni. Israel J. Math., 2021. [arXiv]
Recovering the lattice from its random perturbations.
Int. Math. Res. Not. (IMRN), 2022. [arXiv]
Boundary effects in the discrete Bass model.
With Gadi Fibich and Tomer Levin. SIAM J. Appl. Math., 2019. [arXiv]