M. Poplavskyi

most citedOn pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials

5 citations · 5 across the 1 of their papers we have counts for

collaborators

2 papers

math.PR2019★ 5 cited

On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials

Martin Gebert, Mihail Poplavskyi

Let $O (2 n + ℓ)$ be the group of orthogonal matrices of size $(2 n + ℓ) \times (2 n + ℓ)$ equipped with the probability distribution given by normalized Haar m…

cond-mat.stat-mech2018

Exact persistence exponent for the $2 d$ -diffusion equation and related Kac polynomials

Mihail Poplavskyi, Gregory Schehr

We compute the persistence for the $2 d$ -diffusion equation with random initial condition, i.e., the probability $p_{0} (t)$ that the diffusion field, at a given point $x$ in the…

On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials

Exact persistence exponent for the 2d-diffusion equation and related Kac polynomials

Exact persistence exponent for the $2 d$ -diffusion equation and related Kac polynomials