Moroz Mykola
Publications
Current preprints
Mykola Moroz (with Volodymyr Yelahin), Hölder exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of numbers (2026), arXiv:2603.24411
Mykola Moroz, A counterexample to the Karvatskyi–Pratsiovytyi conjecture concerning the achievement set of an intermediate series (2024), arXiv:2412.00042
Selected papers
M. Moroz, Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions, Journal of Mathematical Analysis and Applications 565 (2027) 130926, doi:10.1016/j.jmaa.2026.130926, Preprint arXiv:2510.03373
M. Moroz, The convergence of sequences in terms of positive and alternating Perron expansions, Bulletin of the Taras Shevchenko National University of Kyiv. Physics and Mathematics, Vol. 82 No. 1 (2026), 72-77, doi:10.17721/1812-5409.2026/1.9, Preprint arXiv:2410.04136
M. Moroz, Representations of real numbers by alternating Perron series and their geometry, Expositiones Mathematicae 43 (2025) 125635, doi:10.1016/j.exmath.2024.125635, Preprint arXiv:2408.01465
Moroz, M. Normal Properties of Numbers in Terms of their Representation by the Perron Series. Ukr Math J (2023), doi:10.1007/s11253-023-02246-y
Moroz, M. Representation of Real Numbers by Perron Series, Their Geometry, and Some Applications. J Math Sci (2024), doi:10.1007/s10958-024-07020-4
Moroz M.P. Gauss–Kuzmin Problem for the Difference Engel-Series Representation of Real Numbers. Ukr Math J (2022), doi:10.1007/s11253-022-02126-x
Moroz M.P. Numerical Characteristics of a Random Variable Related to the Engel Expansions of Real Numbers // Ukr. Math. J., - 2020. - Vol. 72, No. 5. - pp. 759–770, doi:10.1007/s11253-020-01825-7
Mykola Moroz (with Volodymyr Yelahin), Hölder exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of numbers (2026), arXiv:2603.24411
Mykola Moroz, A counterexample to the Karvatskyi–Pratsiovytyi conjecture concerning the achievement set of an intermediate series (2024), arXiv:2412.00042
Selected papers
M. Moroz, Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions, Journal of Mathematical Analysis and Applications 565 (2027) 130926, doi:10.1016/j.jmaa.2026.130926, Preprint arXiv:2510.03373
M. Moroz, The convergence of sequences in terms of positive and alternating Perron expansions, Bulletin of the Taras Shevchenko National University of Kyiv. Physics and Mathematics, Vol. 82 No. 1 (2026), 72-77, doi:10.17721/1812-5409.2026/1.9, Preprint arXiv:2410.04136
M. Moroz, Representations of real numbers by alternating Perron series and their geometry, Expositiones Mathematicae 43 (2025) 125635, doi:10.1016/j.exmath.2024.125635, Preprint arXiv:2408.01465
Moroz, M. Normal Properties of Numbers in Terms of their Representation by the Perron Series. Ukr Math J (2023), doi:10.1007/s11253-023-02246-y
Moroz, M. Representation of Real Numbers by Perron Series, Their Geometry, and Some Applications. J Math Sci (2024), doi:10.1007/s10958-024-07020-4
Moroz M.P. Gauss–Kuzmin Problem for the Difference Engel-Series Representation of Real Numbers. Ukr Math J (2022), doi:10.1007/s11253-022-02126-x
Moroz M.P. Numerical Characteristics of a Random Variable Related to the Engel Expansions of Real Numbers // Ukr. Math. J., - 2020. - Vol. 72, No. 5. - pp. 759–770, doi:10.1007/s11253-020-01825-7