A. Logunov

most citedThe Landis conjecture on exponential decay

14 citations · 14 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2025

A fractal-like configuration of point-line pairs for the minimal distance problem

Alexander Logunov, Dmitrii Zakharov

We show that for every $n \in N$ there is a collection of points $p_{1}, \dots, p_{n}$ and lines $ℓ_{1}, \dots, ℓ_{n}$ in the unit square such that for any $i$ we have $p_i…

math.AP2020★ 14 cited

The Landis conjecture on exponential decay

A. Logunov, E. Malinnikova, N. Nadirashvili +1

Consider a solution $u$ to $Δ u + V u = 0$ on $R^{2}$ , where $V$ is real-valued, measurable and $∣ V ∣ \leq 1$ . If $∣ u (x) ∣ \leq exp (- C ∣ x ∣ lo g^{1/2} ∣ x ∣)$ , $∣ x ∣ > 2$ , where $C$ is a…