113 citations · 1.1k across the 108 of their papers we have counts for
13 papers · 1 filter
Regularization of non-normal matrices by Gaussian noise - the banded Toeplitz and twisted Toeplitz cases
Anirban Basak, Elliot Paquette, Ofer Zeitouni
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let be a deterministic matrix, and let $G…
Tightness for the Cover Time of the two dimensional sphere
David Belius, Jay Rosen, Ofer Zeitouni
Let denote the cover time of the two dimensional sphere by a Wiener sausage of radius . We prove that $$\sqrt{C^{*}_{ε,S^2} } -\sqrt{\frac{2A_{S^2}}π}(\log ε^{-1}-…
Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential
Elena Kosygina, Atilla Yilmaz, Ofer Zeitouni
We prove the homogenization of a class of one-dimensional viscous Hamilton-Jacobi equations with random Hamiltonians that are nonconvex in the gradient variable. Due to the special…
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher
Yu Gu, Lenya Ryzhik, Ofer Zeitouni
We consider the heat equation with a multiplicative Gaussian potential in dimensions . We show that the renormalized solution converges to the solution of a deterministic…
Exponential concentration for zeroes of stationary Gaussian processes
Riddhipratim Basu, Amir Dembo, Naomi Feldheim +1
We show that for any centered stationary Gaussian process of integrable covariance, whose spectral measure has compact support, or finite exponential moments (and some additional r…
Nonconvex homogenization for one-dimensional controlled random walks in random potential
Atilla Yilmaz, Ofer Zeitouni
We consider a finite horizon stochastic optimal control problem for nearest-neighbor random walk on the set of integers. The cost function is the expectation of exponenti…