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

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Showing 2012 · math.SPShow all

2 papers · 2 filters

math.SP2012

Some remarks on integral parameters of Wiener process

A. A. Vladimirov

We consider integrals $τ_{ρ} = \int_{0}^{1} ρ ξ^{2} d x$ , where $ξ$ is Wiener process and $ρ$ is generalized function from some class of multipliers. In the case when multiplier $ρ$ belongs to…

math.SP2012

On some class of singular Sturm-Liouville problems

A. A. Vladimirov

Sturm-Liouville spectral problem for equation $- (y^{'} / r)^{'} + q y = λ p y$ with generalized functions $r \geq 0$ , $q$ and $p$ is considered. It is shown that the problem may be reduced to analo…