I. Sheipak

activity

20072022

most citedDegenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes

8 citations · 10 across the 8 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.FA2007

The singular points of self-similar functions with zero spectral degree. Stieltjes self-similar string

I. A. Sheipak

The self-similar functions of zero spectral degree are defined. The singular points of these functions are investigated and full classification of points is given. The connection w…

math.SP2007★ 2 cited

Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

A. A. Vladimirov, I. A. Sheipak

The Sturm--Liouville problem $- y^{''} - λ ρ y = 0$ , $y (0) = y (1) = 0$ , where $ρ$ is a generalized derivative of self-similar function $P \in L_{2} [0, 1]$ with spectral degree D=0, is studied. Asymp…