Pratsiovytyi Mykola Viktorovych
Education
1993–1996 Doctor of Science in Physics and Mathematics (1999), postdoctoral research in Institute of Mathematics of NAS of Ukraine, Kyiv
1983–1986 Candidate of Science in Physics and Mathematics (1987), postgraduate study in Institute of Mathematics of NAS of Ukraine, Kyiv
1979–1983 Master of Mathematics (1983, diploma with distinction), National Pedagogical Mykhailo Drahomanov University, Kyiv
1983–1986 Candidate of Science in Physics and Mathematics (1987), postgraduate study in Institute of Mathematics of NAS of Ukraine, Kyiv
1979–1983 Master of Mathematics (1983, diploma with distinction), National Pedagogical Mykhailo Drahomanov University, Kyiv
Dissertations
Investigation of fractal objects in analysis and probability theory, thesis for Doctor of Science degree in Physics and Mathematics
speciality 01.01.05 — probability theory and mathematical statistics
Institute of Mathematics of NAS of Ukraine, Kyiv, 1999
Thesis supervisor: Prof. Dr.Sc. A. F. Turbin
Singular probability distributions with fractal supports of Cantor and Salem type, thesis for Candidate of Science degree in Physics and Mathematics
speciality 01.01.05 — probability theory and mathematical statistics
Institute of Mathematics of NAS of Ukraine, Kyiv, 1987
Thesis supervisor: Prof. Dr.Sc. A. F. Turbin
speciality 01.01.05 — probability theory and mathematical statistics
Institute of Mathematics of NAS of Ukraine, Kyiv, 1999
Thesis supervisor: Prof. Dr.Sc. A. F. Turbin
Singular probability distributions with fractal supports of Cantor and Salem type, thesis for Candidate of Science degree in Physics and Mathematics
speciality 01.01.05 — probability theory and mathematical statistics
Institute of Mathematics of NAS of Ukraine, Kyiv, 1987
Thesis supervisor: Prof. Dr.Sc. A. F. Turbin
Research interests
Fractal analysis and fractal geometry, metric and probabilistic number theory, theory of singular probability distributions, theory of nowhere differentiable functions, dynamical systems theory, etc.
Experience
Department of Dynamical Systems and Fractal Analysis, Institute of Mathematics of NAS of Ukraine, Kyiv
2018–current Acting Head of Department
Department of Fractal Analysis
2006–2017 Head of Department
From 1986 he works at Physics and Mathematics Faculty of National Pedagogical Mykhailo Drahomanov University, Kyiv
2008–current Dean
2018–current Acting Head of Department
Department of Fractal Analysis
2006–2017 Head of Department
From 1986 he works at Physics and Mathematics Faculty of National Pedagogical Mykhailo Drahomanov University, Kyiv
2008–current Dean
Talks on conferences
Selected talks
XIX International Scientific Mykhailo Kravchuk Conference (Kyiv, Ukraine, October 11–12, 2023, online)
On transformations and functions preserving tails of $E$-representation of numbers (with O. M. Baranovskyi)
$\Phi$-representation of numbers in the theory of continuous nowhere monotonic functions with scale-invariant properties (with N. M. Vasylenko and O. I. Bondarenko)
Applications of $B$-representation of numbers in the theory of singular probability distributions (with Ya. V. Goncharenko and I. M. Lysenko)
$A_3$-continued fractions and the theory of locally complicated functions with fractal properties (with S. P. Ratushniak)
program, abstracts (pp. 89–90, 95–96, 178–179, 118–119)
International Scientific Conference “Mathematics and Information Technologies” (Chernivtsi, Ukraine, September 28–30, 2023)
Applications of $B$-representation of numbers in the metric number theory, fractal analysis, and theory of distributions of random variables (with Olga Bondarenko, Yanina Goncharenko, and Iryna Lysenko)
Continuous nowhere monotonic function defined in terms of the continued fraction representation of numbers (with Sofiia Ratushniak)
program, abstracts (pp. 289–290, 293)
Analytic definition of one class of fractal functions by Engel series (with Oleksandr Baranovskyi) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022. Abstracts
On growth rate of denominators of convergents for $A_2$-continued fractions (with Yanina Goncharenko, Iryna Lysenko, and Sofiia Ratushniak) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian). Abstracts
Structural and metric fractality of mathematical objects: sets, functions, probability distributions, and dynamical systems at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian).
Probabilistic theory of $G_2$-representation of numbers (with I. M. Lysenko, Yu. P. Maslova) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
Distributions of random variables with independent $Q_2$-digits having nontrivial densities (with S. P. Ratushniak) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
Using Engel series for construction of continuous functions with complicated local properties (with Oleksandr Baranovskyi) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts, slides
Probabilistic theory of two-symbol encoding of real numbers at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
XIX International Scientific Mykhailo Kravchuk Conference (Kyiv, Ukraine, October 11–12, 2023, online)
On transformations and functions preserving tails of $E$-representation of numbers (with O. M. Baranovskyi)
$\Phi$-representation of numbers in the theory of continuous nowhere monotonic functions with scale-invariant properties (with N. M. Vasylenko and O. I. Bondarenko)
Applications of $B$-representation of numbers in the theory of singular probability distributions (with Ya. V. Goncharenko and I. M. Lysenko)
$A_3$-continued fractions and the theory of locally complicated functions with fractal properties (with S. P. Ratushniak)
program, abstracts (pp. 89–90, 95–96, 178–179, 118–119)
International Scientific Conference “Mathematics and Information Technologies” (Chernivtsi, Ukraine, September 28–30, 2023)
Applications of $B$-representation of numbers in the metric number theory, fractal analysis, and theory of distributions of random variables (with Olga Bondarenko, Yanina Goncharenko, and Iryna Lysenko)
Continuous nowhere monotonic function defined in terms of the continued fraction representation of numbers (with Sofiia Ratushniak)
program, abstracts (pp. 289–290, 293)
Analytic definition of one class of fractal functions by Engel series (with Oleksandr Baranovskyi) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022. Abstracts
On growth rate of denominators of convergents for $A_2$-continued fractions (with Yanina Goncharenko, Iryna Lysenko, and Sofiia Ratushniak) at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian). Abstracts
Structural and metric fractality of mathematical objects: sets, functions, probability distributions, and dynamical systems at the All-Ukrainian Scientific and Methodological Conference “Modern Scientific and Methodological Problems of Mathematics in Higher School” (online), Kyiv, Ukraine, May 23–24, 2022 (in Ukrainian).
Probabilistic theory of $G_2$-representation of numbers (with I. M. Lysenko, Yu. P. Maslova) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
Distributions of random variables with independent $Q_2$-digits having nontrivial densities (with S. P. Ratushniak) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts
Using Engel series for construction of continuous functions with complicated local properties (with Oleksandr Baranovskyi) at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts, slides
Probabilistic theory of two-symbol encoding of real numbers at the International Conference “Modern Stochastics: Theory and Applications V” (online), Kyiv, Ukraine, June 1–4, 2021. Program, Abstracts