Dragomanov Ukrainian State University

most citedOn fractal faithfulness and fine fractal properties of random variables with independent

Q^{*}

-digits

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math.PR2016★ 1 cited

On spectra of probability measures generated by GLS-expansions

Marina Lupain

We study properties of distributions of random variables with independent identically distributed symbols of generalized Lüroth series (GLS) expansions (the family of GLS-expansion…

math.PR2016★ 2 cited

On fractal faithfulness and fine fractal properties of random variables with independent $Q^{*}$ -digits

Muslem Ibragim, Grygoriy Torbin

We develop a new technique to prove the faithfulness of the Hausdorff--Besicovitch dimension calculation of the family $Φ (Q^{*})$ of cylinders generated by $Q^{*}$ -expansion of r…

math.PR2015★ 1 cited

Equilibrium diffusion on the cone of discrete Radon measures

Diana Conache, Yuri G. Kondratiev, Eugene Lytvynov

Let $K (R^{d})$ denote the cone of discrete Radon measures on $R^{d}$ . There is a natural differentiation on $K (R^{d})$ : for a differentiable funct…

On spectra of probability measures generated by GLS-expansions

On fractal faithfulness and fine fractal properties of random variables with independent Q∗-digits

Equilibrium diffusion on the cone of discrete Radon measures

On fractal faithfulness and fine fractal properties of random variables with independent $Q^{*}$ -digits