A. Vladimirov

activity

20032024

most citedAnomalous 1D fluctuations of a simple 2D random walk in a large deviation regime

22 citations · 70 across the 24 of their papers we have counts for

collaborators

Showing 2008Show all

2 papers · 1 filter

math-ph2008★ 1 cited

Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load

Alexander Rybko, Senya Shlosman, Alexander Vladimirov

We prove that the general mean-field type networks at low load behave in accordance with the Poisson Hypothesis. That means that the network equilibrates in time independent of its…

math.SP2008★ 4 cited

On the oscillation properties of eigenfunctions of Sturm--Liouville problem with singular coefficients

A. A. Vladimirov

In the paper we consider singular spectral Sturm--Liouville problem $- (p y^{'})^{'} + (q - λ r) y = 0$ , $(U - 1) y^{\lor} + i (U + 1) y^{\land} = 0$ , where function $p \in L_{\infty} [0, 1]$ is uniformly posi…