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.
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, to appear. [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]