22 citations · 70 across the 24 of their papers we have counts for
24 papers
Joint spectral radius and forbidden products
Alexander Vladimirov
We address the problem of finite products that attain the joint spectral radius of a finite number of square matrices. Up to date the problem of existence of "forbidden products" r…
Brownian flights over a circle
Alexander Vladimirov, Senya Shlosman, Sergei Nechaev
The stationary radial distribution, , of the random walk with the diffusion coefficient , which winds with the tangential velocity around the impenetrable disc of radi…
Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime
Sergei Nechaev, Kirill Polovnikov, Senya Shlosman +2
The following question is the subject of our work: could a two-dimensional random path pushed by some constraints to an improbable "large deviation regime", possess extreme statist…
Propagation of Chaos and Poisson Hypothesis
Serge Pirogov, Alexander Rybko, Senya Shlosman +1
We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes -- as the size of the system tends to infinity --…
Continuous products of matrices
A. Vladimirov
We answer the question if the continuous product of square matrices over can be correctly defined. The case where all are taken from a finite set is…
On some a priori majorant of eigenvalues of Sturm--Liouville problems
A. A. Vladimirov
Let be precise a priori majorant of first eigenvalues of Sturm--Liouville problems , where and , $γ\in (0,1/…