Oren Yakir

School of Mathematical Sciences, Tel Aviv University

Email: oren.yakir@gmail.com

Office: Schreiber 037

I am a PhD student at Tel Aviv University, working under the supervision of Alon Nishry and Mikhail Sodin

I study Analysis, with an emphasis on applications in Probability Theory and Mathematical Physics. 

Publications


Large charge fluctuations in the hierarchical Coulomb gas.

With Alon Nishry. Preprint. [arXiv]


Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere. 

With Marcus Michelen. Preprint. [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. 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. 

IMRN, 2022. [arXiv]


Boundary effects in the discrete Bass model. 

With Gadi Fibich and Tomer Levin. SIAM J. Appl. Math., 2019. [arXiv]