F. Nazarov

activity

20202025

most citedThe Landis conjecture on exponential decay

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

collaborators

3 papers

math.PR2025

Convergence rate of $ℓ^{p}$ -energy minimization on graphs: sharp polynomial bounds and a phase transition at $p = 3$

Gideon Amir, Fedor Nazarov, Yuval Peres

We consider the following dynamics on a connected graph $(V, E)$ with $n$ vertices. Given $p > 1$ and an initial opinion profile $f_{0} : V \to [0, 1]$ , at each integer step $t \geq 1$ a un…

math.MG2024

Small volume bodies of constant width

Andrii Arman, Andriy Bondarenko, Fedor Nazarov +2

For every large enough $n$ , we explicitly construct a body of constant width $2$ that has volume less than $0. 9^{n} Vol (B^{n}$ ), where $B^{n}$ is the unit ba…

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…

Convergence rate of ℓp-energy minimization on graphs: sharp polynomial bounds and a phase transition at p=3

Small volume bodies of constant width

The Landis conjecture on exponential decay

Convergence rate of $ℓ^{p}$ -energy minimization on graphs: sharp polynomial bounds and a phase transition at $p = 3$