Edit Profile (opens in new tab) Pratsiovytyi, Mykola Co-Author Distance Author ID: pratsiovytyi.mykola Published as: Pratsiovytyi, Mykola; Prats’ovytyĭ, M. V.; Pratsiovytyi, M. V.; Prats’ovytyj, M. V.; Prats’ovytyi, M. V.; Pratsiovytyi, M.; Pratsevityj, N. V.; Pratsiovytyi, Mykola V.; Pratsiovytyĭ, M. V.; Pratsiovytyj, M. V.; Prats’ovytyĭ, M. B.; Pratsovytyi, M. V.; Pratsovytyj, M. V.; Prats’iovytyĭ, M. V.; Pratsovytyi, Mykola; Pratsevityi, N. V.; Pratsevityj, M. V.; Pratsevytyj, M. V.; Pratsiovytï, M. V.; Pratsovitiy, M. V.; Prats’ovytyĭ, M.; Prats’ovytyĭ more...less Homepage: https://www.imath.kiev.ua/people/profile.php?pid=170&tab=1&lang=en External Links: MGP Documents Indexed: 118 Publications since 1986, including 1 Book and 4 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 113 Co-Authors with 106 Joint Publications 2,100 Co-Co-Authors all top 5 Co-Authors 12 single-authored 20 Torbin, Grygoriy Myroslavovych 13 Albeverio, Sergio A. 12 Goncharenko, Ya. V. 12 Lysenko, I. M. 8 Maslova, Yu. P. 8 Ratushniak, S. P. 7 Makarchuk, Oleg P. 6 Baranovs’kyĭ, O. M. 5 Baranovskyi, Oleksandr 5 Drozdenko, Vitaliy O. 4 Savchenko, Igor O. 3 Bezushchak, Oksana O. 3 Chuĭkov, A. S. 3 Karvatsky, Dmytro 3 Kurdachenko, Leonid Andriĭovych 3 Oliynyk, A. S. 3 Petravchuk, Anatolii P. 3 Ratushnyak, S. P. 3 Subbotin, Igor Yakov 3 Svynchuk, Olga V. 3 Zamrii, Iryna V. 2 Artemovych, Orest Dem”yanovych 2 Bondarenko, O. I. 2 Dixon, Martyn Russell 2 Dmytrenko, S. O. 2 Drozd, Yuriĭ Anatoliĭovych 2 Grigorchuk, Rostislav Ivanovich 2 Kalashnikov, A. V. 2 Karvats’kyĭ, D. M. 2 Koshmanenko, Volodymyr Dmytrovych 2 Kyurchev, D. V. 2 Lukashova, Tetyana D. 2 Markitan, V. P. 2 Nekrashevych, Volodymyr V. 2 Oliynyk, B. V. 2 Turbin, Anatoly F. 2 Vasylenko, N. M. 2 Zators’kyĭ, Roman Andriĭovych 2 Zel’manov, Efim Isaakovich 2 Zhuchok, Anatolii V. 1 Antonyuk, Oleksandra Viktorivna 1 Bartholdi, Laurent 1 Bavula, Vladimir V. 1 Boĭchuk, Oleksandr Andriĭovych 1 Bondarenko, Vitaliĭ Mykhaĭlovych 1 Borovskikh, Yuri V. 1 Bratijchuk, N. S. 1 Cherenkov, A. P. 1 Chuikov, Artem 1 Demenin, A. N. 1 Diesperova, M. M. 1 Dlab, Vlastimil 1 Dobrovol’skij, V. V. 1 Drensky, Vesselin 1 Drensky, W. 1 Drushlyak, Maryna G. 1 Dukhovny, Alexander M. 1 Dyvliash, N. V. 1 Feshchenko, O. Yu. 1 Franchuk, K. V. 1 Futorny, Vyacheslav M. 1 Gasanenko, Vitalii Alekseevich 1 Get’man, B. I. 1 Gontcharenko, Yana 1 Grikh, Z. A. 1 Gusak, Dmytro V. 1 Isaeva, T. M. 1 Isaieva, Tetiana M. 1 Isayev, T. M. 1 Karvatsky, Dmitriy 1 Khvorostina, Yu. V. 1 Khvorostina, Yuriy 1 Klimchuk, S. O. 1 Klymchuk, S. O. 1 Koppitz, J. H. 1 Korolyuk, Volodymyr Semenovych 1 Kosopl’otkina, O. V. 1 Kotova, Ol’ga V. 1 Koval, Vyacheslav 1 Kovalenko, Valeriy M. 1 Kryvoshyya, R. B. 1 Kulyba, Yuliya 1 Kyurchev, Dmytro 1 Leshchyns’kyj, O. L. 1 Longobardi, Patrizia 1 Lukovsky, Ivan Oleksandrovych 1 Lysenko, Iryna 1 Lyubashenko, Volodymyr V. 1 Maj, Mercede 1 Makarov, Volodymyr Leonidovych 1 Maksymenko, Sergiĭ Ivanovych 1 Marciniak, Zbigniew S. 1 Marushin, M. N. 1 Mazorchuk, Volodymyr 1 Melyaeva, O. 1 Novikov, M. M. 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Otal Cinca, Javier 1 Parasyuk, Igor O. 1 Perestyuk, Mykola Oleksiĭovych ...and 34 more Co-Authors all top 5 Serials 13 Bukovyns’kyĭ Matematychnyĭ Zhurnal 11 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 10 Random Operators and Stochastic Equations 9 Ukraïns’kyĭ Matematychnyĭ Zhurnal 8 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 7 Journal of Mathematical Sciences (New York) 7 Algebra and Discrete Mathematics 6 Ukrainian Mathematical Journal 5 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 3 Theory of Probability and Mathematical Statistics 3 Matematychni Studiï 2 Mathematische Nachrichten 2 Methods of Functional Analysis and Topology 2 U Sviti Matematyky 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Ergodic Theory and Dynamical Systems 1 Dopovidi Akademiï Nauk Ukraïni 1 Bulletin des Sciences Mathématiques 1 Positivity 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Theory of Stochastic Processes 1 Central European Journal of Mathematics 1 Šiauliai Mathematical Seminar 1 European Journal of Pure and Applied Mathematics 1 Tbilisi Mathematical Journal 1 Proceedings of the International Geometry Center 1 European Actuarial Journal 1 Mohyla Mathematical Journal all top 5 Fields 67 Number theory (11-XX) 59 Measure and integration (28-XX) 56 Probability theory and stochastic processes (60-XX) 36 Real functions (26-XX) 6 Statistics (62-XX) 5 Sequences, series, summability (40-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 264 times in 99 Documents Cited by ▼ Year ▼ Topological and fractal properties of real numbers which are not normal. Zbl 1088.28003 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 32 2005 Fractal sets, functions, distributions. (Фрактальные множества, функции, распределения.) Zbl 0861.28005 Turbin, A. F.; Pratsevityj, N. V. 31 1992 Fractal probability distributions and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1115.37016 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 22 2004 On fine structure of singularly continuous probability measures and random variables with independent \(\tilde{Q}\)-symbols. Zbl 1240.28019 Albeverio, S.; Koshmanenko, V.; Pratsiovytyi, M.; Torbin, G. 12 2011 Singular probability distributions and fractal properties of sets of real numbers defined by the asymptotic frequencies of their \(s\)-adic digits. Zbl 1097.11038 Albeverio, S.; Pratsiovytyi, M.; Torbin, G. 11 2005 Singularity of the digit inversor for the \(Q_3\)-representation of the fractional part of a real number, its fractal and integral properties. Zbl 1342.28025 Zamrii, Irina V.; Prats’ovytyi, M. V. 9 2016 Superfractality of the set of numbers having no frequency of \(n\)-adic digits and fractal probability distributions. Zbl 0936.28002 Prats’ovytyj, M. V.; Torbin, G. M. 8 1995 Self-affine singular and nowhere monotone functions related to the \(Q\)-representation of real numbers. Zbl 1297.26007 Prats’ovytyi, M. V.; Kalashnikov, A. V. 7 2013 A class of random variables of the Jessen-Wintner type. Zbl 0940.60041 Prats’ovytyj, M. V.; Torbin, G. M. 6 1998 Spectral properties of image measures under the infinite conflict interaction. Zbl 1196.28002 Albeverio, Sergio; Koshmanenko, Volodymyr; Pratsiovytyi, Mykola; Torbin, Grygoriy 6 2006 Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements. Zbl 1362.60005 Pratsiovytyi, Mykola; Khvorostina, Yuriy 6 2013 Properties of the distribution of the random variable defined by \(A_2\)-continued fraction with independent elements. Zbl 1224.60020 Pratsiovytyi, Mykola; Kyurchev, D. 5 2009 Continuous Cantor projectors. Zbl 0761.26007 Pratsevityj, N. V. 5 1989 Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series. Zbl 1152.28014 Pratsiovytyi, M. V.; Feshchenko, O. Yu. 4 2007 Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction. Zbl 0932.60011 Prats’ovytyi, M. V. 4 1996 Fractal properties of some Bernoulli convolutions. Zbl 1224.60082 Goncharenko, Ya. V.; Prats’ovytyj, M. V.; Torbin, G. M. 4 2008 \(A_2\)-continued fraction representation of real numbers and its geometry. Zbl 1224.11066 Dmytrenko, S. O.; Kyurchev, D. V.; Prats’ovytyi, M. V. 4 2009 Transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1134.28007 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 4 2008 Spread of values of a Cantor-type fractal continuous nonmonotone function. Zbl 1459.26005 Prats’ovytyi, M. V.; Svynchuk, O. V. 4 2019 Convolutions of distributions of random variables with independent binary digits. Zbl 1164.60004 Albeverio, S.; Goncharenko, Ya.; Pratsiovytyi, M.; Torbin, G. 4 2007 Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers. Zbl 1307.11087 Zhykharyeva, Yulia; Pratsiovytyi, Mykola 4 2012 Probability distributions on graphs one class nowhere differentiable functions. Zbl 1324.26007 Prats’ovytyĭ, M.; Vasylenko, N. 3 2013 Jessen-Wintner type random variables and fractal properties of their distributions. Zbl 1160.28002 Albeverio, Sergio; Gontcharenko, Yana; Pratsiovytyi, Mykola; Torbin, Grygoriy 3 2006 On singularity and fine spectral structure of random continued fractions. Zbl 1377.11087 Albeverio, Sergio; Kulyba, Yuliya; Pratsiovytyi, Mykola; Torbin, Grygoriy 3 2015 Properties and distributions of values of fractal functions related to \(Q_2\)-representations of real numbers. Zbl 1453.28014 Pratsiovytyi, M. V.; Ratushniak, S. P. 3 2019 Inversor of digits \(Q^\ast_2\)-representative of numbers. Zbl 1471.11224 Pratsiovytyi, M. V.; Goncharenko, Ya. V.; Dyvliash, N. V.; Ratushniak, S. P. 3 2021 Transformations of \((0, 1]\) preserving tails of \({\Delta}^{\mu}\)-representation of numbers. Zbl 1369.11007 Isaieva, Tetiana M.; Pratsiovytyi, Mykola V. 3 2016 Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers. Zbl 1442.11114 Pratsiovytyi, Mykola; Chuikov, Artem 3 2019 Distributions of sums of random power series. Zbl 0893.60020 Pratsovytyi, M. V. 3 1996 Fractal functions of exponential type that is generated by the \(Q_2^*\)-representation of argument. Zbl 1502.28010 Pratsovytyi, M. V.; Goncharenko, Ya. V.; Lysenko, I. M.; Ratushniak, S. P. 3 2021 About one class of functions with fractal properties. Zbl 1499.28015 Pratsiovytyĭ, M. V.; Goncharenko, Ya. V.; Dmytrenko, S. O.; Lysenko, I. M.; Ratushniak, S. P. 3 2021 Topological and metric properties of sets of real numbers with conditions on their expansions in Ostrogradskii series. Zbl 1150.11027 Baranovs’kyj, O. M.; Prats’ovytyj, M. V.; Torbin, H. M. 2 2007 The Ostrogradsky series and related Cantor-like sets. Zbl 1131.11052 Albeverio, Sergio; Baranovskyi, Oleksandr; Pratsiovytyi, Mykola; Torbin, Grygoriy 2 2007 A random variable whose digits in the \(\widetilde {L}\)-representation have the Markovian dependence. Zbl 1331.60029 Prats’ovytyĭ, M. V.; Khvorostina, Yu. V. 2 2015 Fractal, superfractal and anomalously fractal distributions of random variables with a fixed infinite set of independent \(n\)-adic digits. Zbl 0959.60010 Pratsevityi, N. V. 2 1995 Fractal geometry and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1098.60003 Prats’ovytyj, M. V.; Torbin, G. M. 2 2003 The set of incomplete sums of the first Ostrogradsky series and anomalously fractal probability distributions on it. Zbl 1199.60036 Albeverio, Sergio; Baranovskyi, Oleksandr; Pratsiovytyi, Mykola; Torbin, Grygoriy 2 2009 Continuous nowhere monotonous function, defined in terms of nega-3-adic and \(A_2\)-continued fractions. Zbl 1424.11111 Prats’ovytyĭ, M. B.; Chuĭkov, A. S. 2 2018 Set of subsums of numerical series with nonlinear condition of homogeneity. Zbl 1324.11054 Prats’ovytyĭ, M. V.; Savchenko, I. O. 2 2014 Superfractality of the set of incomplete sums of one positive series. Zbl 1477.40002 Markitan, V. P.; Prats’ovytyi, M. V.; Savchenko, I. O. 2 2019 Positive series whose sets of incomplete sums are Cantorvals. Zbl 1453.40001 Vynnyshyn, Ya. F.; Markitan, V. P.; Prats’ovytyĭ; Savchenko, I. O. 2 2019 Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers. Zbl 1445.11007 Pratsiovytyi, M. V.; Lysenko, I. M.; Maslova, Yu. P. 2 2020 Numeral system with two bases having different signs and related special functions. Zbl 1474.11030 Lysenko, I. M.; Maslova, Yu. P.; Prats’ovytyĭ, M. V. 2 2019 One class of continuous functionswith complicated local properties related to Engel series. Zbl 1541.26016 Baranovskyi, Oleksandr; Pratsiovytyi, Mykola 2 2023 Jacobsthal-Lucas series and their applications. Zbl 1418.11032 Pratsiovytyi, Mykola; Karvatsky, Dmitriy 1 2017 The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity. Zbl 1346.60053 Prats’ovytyĭ, M. V.; Savchenko, I. O. 1 2015 Distribution of values of a non-monotonic singular function of the Cantor type. Zbl 1399.11135 Prats’ovytyĭ, M. V.; Svynchuk, O. V. 1 2017 Distributions of random variables with independent \(Q\)-symbols. Zbl 0785.60010 Pratsevityj, N. V. 1 1990 Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence. Zbl 1447.60074 Pratsiovytyi, Mykola; Makarchuk, Oleg; Karvatsky, Dmytro 1 2020 Geometry of numerical series: a series as a model of a real number in a new two-digit number coding system. Zbl 1424.11020 Prats’ovytyĭ, M. B.; Lysenko, I. M.; Maslova, Yu. P. 1 2018 Continuous functions preserving digit 1 in \(Q_3\)-representation of a number. Zbl 1363.11079 Prats’ovytyĭ, M. V.; Zamriĭ, I. V. 1 2015 Fractal functions related to \(\Delta^{\mu}\)-representation of numbers. Zbl 1363.11078 Prats’ovytyĭ, M. V.; Isayev, T. M. 1 2015 Continuous nowhere differentiable function with fractal properties defined in terms of \(Q_2\)-representation. Zbl 1482.26002 Pratsiovytyi, M. V.; Ratushniak, S. P. 1 2021 On classification of singular measures and fractal properties of quasi-self-affine measures in \(\mathbb R^2\). Zbl 1174.28006 Albeverio, Sergio; Koval, Vyacheslav; Pratsiovytyi, Mykola; Torbin, G. 1 2008 Characterization theorems for mean value insurance premium calculation principle. Zbl 1281.91102 Pratsiovytyi, Mykola; Drozdenko, Vitaliy 1 2013 Generalization of the Tribin function. Zbl 1458.11014 Prats’ovytyi, M. V.; Baranovs’kyi, O. M.; Maslova, Yu. P. 1 2021 Inversor of digits of two-base \(G\)-representation of real numbers and its structural fractality. Zbl 1524.11017 Prats’ovytyĭ, M. V.; Drozdenko, V. O.; Lysenko, I. M.; Maslova, Yu. P. 1 2022 Independence of digits of \(Q_2\)-representation of a random variable with a given distribution. Zbl 1463.60015 Prats’ovytyĭ, M. V.; Ratushnyak, S. P. 1 2019 Distribution of values of classic singular Cantor function of random argument. Zbl 1440.11147 Pratsiovytyi, Mykola; Lysenko, Iryna; Voitovska, Oksana 1 2018 Continued \(A_2\)-fractions and singular functions. Zbl 1517.11096 Pratsiovytyi, M. V.; Goncharenko, Ya. V.; Lysenko, I. M.; Ratushniak, S. P. 1 2022 One class of continuous functionswith complicated local properties related to Engel series. Zbl 1541.26016 Baranovskyi, Oleksandr; Pratsiovytyi, Mykola 2 2023 Inversor of digits of two-base \(G\)-representation of real numbers and its structural fractality. Zbl 1524.11017 Prats’ovytyĭ, M. V.; Drozdenko, V. O.; Lysenko, I. M.; Maslova, Yu. P. 1 2022 Continued \(A_2\)-fractions and singular functions. Zbl 1517.11096 Pratsiovytyi, M. V.; Goncharenko, Ya. V.; Lysenko, I. M.; Ratushniak, S. P. 1 2022 Inversor of digits \(Q^\ast_2\)-representative of numbers. Zbl 1471.11224 Pratsiovytyi, M. V.; Goncharenko, Ya. V.; Dyvliash, N. V.; Ratushniak, S. P. 3 2021 Fractal functions of exponential type that is generated by the \(Q_2^*\)-representation of argument. Zbl 1502.28010 Pratsovytyi, M. V.; Goncharenko, Ya. V.; Lysenko, I. M.; Ratushniak, S. P. 3 2021 About one class of functions with fractal properties. Zbl 1499.28015 Pratsiovytyĭ, M. V.; Goncharenko, Ya. V.; Dmytrenko, S. O.; Lysenko, I. M.; Ratushniak, S. P. 3 2021 Continuous nowhere differentiable function with fractal properties defined in terms of \(Q_2\)-representation. Zbl 1482.26002 Pratsiovytyi, M. V.; Ratushniak, S. P. 1 2021 Generalization of the Tribin function. Zbl 1458.11014 Prats’ovytyi, M. V.; Baranovs’kyi, O. M.; Maslova, Yu. P. 1 2021 Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers. Zbl 1445.11007 Pratsiovytyi, M. V.; Lysenko, I. M.; Maslova, Yu. P. 2 2020 Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence. Zbl 1447.60074 Pratsiovytyi, Mykola; Makarchuk, Oleg; Karvatsky, Dmytro 1 2020 Spread of values of a Cantor-type fractal continuous nonmonotone function. Zbl 1459.26005 Prats’ovytyi, M. V.; Svynchuk, O. V. 4 2019 Properties and distributions of values of fractal functions related to \(Q_2\)-representations of real numbers. Zbl 1453.28014 Pratsiovytyi, M. V.; Ratushniak, S. P. 3 2019 Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers. Zbl 1442.11114 Pratsiovytyi, Mykola; Chuikov, Artem 3 2019 Superfractality of the set of incomplete sums of one positive series. Zbl 1477.40002 Markitan, V. P.; Prats’ovytyi, M. V.; Savchenko, I. O. 2 2019 Positive series whose sets of incomplete sums are Cantorvals. Zbl 1453.40001 Vynnyshyn, Ya. F.; Markitan, V. P.; Prats’ovytyĭ; Savchenko, I. O. 2 2019 Numeral system with two bases having different signs and related special functions. Zbl 1474.11030 Lysenko, I. M.; Maslova, Yu. P.; Prats’ovytyĭ, M. V. 2 2019 Independence of digits of \(Q_2\)-representation of a random variable with a given distribution. Zbl 1463.60015 Prats’ovytyĭ, M. V.; Ratushnyak, S. P. 1 2019 Continuous nowhere monotonous function, defined in terms of nega-3-adic and \(A_2\)-continued fractions. Zbl 1424.11111 Prats’ovytyĭ, M. B.; Chuĭkov, A. S. 2 2018 Geometry of numerical series: a series as a model of a real number in a new two-digit number coding system. Zbl 1424.11020 Prats’ovytyĭ, M. B.; Lysenko, I. M.; Maslova, Yu. P. 1 2018 Distribution of values of classic singular Cantor function of random argument. Zbl 1440.11147 Pratsiovytyi, Mykola; Lysenko, Iryna; Voitovska, Oksana 1 2018 Jacobsthal-Lucas series and their applications. Zbl 1418.11032 Pratsiovytyi, Mykola; Karvatsky, Dmitriy 1 2017 Distribution of values of a non-monotonic singular function of the Cantor type. Zbl 1399.11135 Prats’ovytyĭ, M. V.; Svynchuk, O. V. 1 2017 Singularity of the digit inversor for the \(Q_3\)-representation of the fractional part of a real number, its fractal and integral properties. Zbl 1342.28025 Zamrii, Irina V.; Prats’ovytyi, M. V. 9 2016 Transformations of \((0, 1]\) preserving tails of \({\Delta}^{\mu}\)-representation of numbers. Zbl 1369.11007 Isaieva, Tetiana M.; Pratsiovytyi, Mykola V. 3 2016 On singularity and fine spectral structure of random continued fractions. Zbl 1377.11087 Albeverio, Sergio; Kulyba, Yuliya; Pratsiovytyi, Mykola; Torbin, Grygoriy 3 2015 A random variable whose digits in the \(\widetilde {L}\)-representation have the Markovian dependence. Zbl 1331.60029 Prats’ovytyĭ, M. V.; Khvorostina, Yu. V. 2 2015 The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity. Zbl 1346.60053 Prats’ovytyĭ, M. V.; Savchenko, I. O. 1 2015 Continuous functions preserving digit 1 in \(Q_3\)-representation of a number. Zbl 1363.11079 Prats’ovytyĭ, M. V.; Zamriĭ, I. V. 1 2015 Fractal functions related to \(\Delta^{\mu}\)-representation of numbers. Zbl 1363.11078 Prats’ovytyĭ, M. V.; Isayev, T. M. 1 2015 Set of subsums of numerical series with nonlinear condition of homogeneity. Zbl 1324.11054 Prats’ovytyĭ, M. V.; Savchenko, I. O. 2 2014 Self-affine singular and nowhere monotone functions related to the \(Q\)-representation of real numbers. Zbl 1297.26007 Prats’ovytyi, M. V.; Kalashnikov, A. V. 7 2013 Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements. Zbl 1362.60005 Pratsiovytyi, Mykola; Khvorostina, Yuriy 6 2013 Probability distributions on graphs one class nowhere differentiable functions. Zbl 1324.26007 Prats’ovytyĭ, M.; Vasylenko, N. 3 2013 Characterization theorems for mean value insurance premium calculation principle. Zbl 1281.91102 Pratsiovytyi, Mykola; Drozdenko, Vitaliy 1 2013 Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers. Zbl 1307.11087 Zhykharyeva, Yulia; Pratsiovytyi, Mykola 4 2012 On fine structure of singularly continuous probability measures and random variables with independent \(\tilde{Q}\)-symbols. Zbl 1240.28019 Albeverio, S.; Koshmanenko, V.; Pratsiovytyi, M.; Torbin, G. 12 2011 Properties of the distribution of the random variable defined by \(A_2\)-continued fraction with independent elements. Zbl 1224.60020 Pratsiovytyi, Mykola; Kyurchev, D. 5 2009 \(A_2\)-continued fraction representation of real numbers and its geometry. Zbl 1224.11066 Dmytrenko, S. O.; Kyurchev, D. V.; Prats’ovytyi, M. V. 4 2009 The set of incomplete sums of the first Ostrogradsky series and anomalously fractal probability distributions on it. Zbl 1199.60036 Albeverio, Sergio; Baranovskyi, Oleksandr; Pratsiovytyi, Mykola; Torbin, Grygoriy 2 2009 Fractal properties of some Bernoulli convolutions. Zbl 1224.60082 Goncharenko, Ya. V.; Prats’ovytyj, M. V.; Torbin, G. M. 4 2008 Transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1134.28007 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 4 2008 On classification of singular measures and fractal properties of quasi-self-affine measures in \(\mathbb R^2\). Zbl 1174.28006 Albeverio, Sergio; Koval, Vyacheslav; Pratsiovytyi, Mykola; Torbin, G. 1 2008 Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series. Zbl 1152.28014 Pratsiovytyi, M. V.; Feshchenko, O. Yu. 4 2007 Convolutions of distributions of random variables with independent binary digits. Zbl 1164.60004 Albeverio, S.; Goncharenko, Ya.; Pratsiovytyi, M.; Torbin, G. 4 2007 Topological and metric properties of sets of real numbers with conditions on their expansions in Ostrogradskii series. Zbl 1150.11027 Baranovs’kyj, O. M.; Prats’ovytyj, M. V.; Torbin, H. M. 2 2007 The Ostrogradsky series and related Cantor-like sets. Zbl 1131.11052 Albeverio, Sergio; Baranovskyi, Oleksandr; Pratsiovytyi, Mykola; Torbin, Grygoriy 2 2007 Spectral properties of image measures under the infinite conflict interaction. Zbl 1196.28002 Albeverio, Sergio; Koshmanenko, Volodymyr; Pratsiovytyi, Mykola; Torbin, Grygoriy 6 2006 Jessen-Wintner type random variables and fractal properties of their distributions. Zbl 1160.28002 Albeverio, Sergio; Gontcharenko, Yana; Pratsiovytyi, Mykola; Torbin, Grygoriy 3 2006 Topological and fractal properties of real numbers which are not normal. Zbl 1088.28003 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 32 2005 Singular probability distributions and fractal properties of sets of real numbers defined by the asymptotic frequencies of their \(s\)-adic digits. Zbl 1097.11038 Albeverio, S.; Pratsiovytyi, M.; Torbin, G. 11 2005 Fractal probability distributions and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1115.37016 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 22 2004 Fractal geometry and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1098.60003 Prats’ovytyj, M. V.; Torbin, G. M. 2 2003 A class of random variables of the Jessen-Wintner type. Zbl 0940.60041 Prats’ovytyj, M. V.; Torbin, G. M. 6 1998 Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction. Zbl 0932.60011 Prats’ovytyi, M. V. 4 1996 Distributions of sums of random power series. Zbl 0893.60020 Pratsovytyi, M. V. 3 1996 Superfractality of the set of numbers having no frequency of \(n\)-adic digits and fractal probability distributions. Zbl 0936.28002 Prats’ovytyj, M. V.; Torbin, G. M. 8 1995 Fractal, superfractal and anomalously fractal distributions of random variables with a fixed infinite set of independent \(n\)-adic digits. Zbl 0959.60010 Pratsevityi, N. V. 2 1995 Fractal sets, functions, distributions. (Фрактальные множества, функции, распределения.) Zbl 0861.28005 Turbin, A. F.; Pratsevityj, N. V. 31 1992 Distributions of random variables with independent \(Q\)-symbols. Zbl 0785.60010 Pratsevityj, N. V. 1 1990 Continuous Cantor projectors. Zbl 0761.26007 Pratsevityj, N. V. 5 1989 all cited Publications top 5 cited Publications all top 5 Cited by 119 Authors 27 Pratsiovytyi, Mykola 16 Torbin, Grygoriy Myroslavovych 11 Albeverio, Sergio A. 9 Wu, Min 8 Li, Jinjun 6 Koshmanenko, Volodymyr Dmytrovych 6 Lysenko, I. M. 5 Goncharenko, Ya. V. 5 Ratushniak, S. P. 4 Nikiforov, Roman O. 3 Madritsch, Manfred G. 3 Maslova, Yu. P. 3 Svynchuk, Olga V. 3 Zamrii, Iryna V. 2 Araújo, Vítor 2 Barabash, Oleg V. 2 Buescu, Jorge 2 Huang, Yan 2 Ibragim, Muslem 2 Kondrat’yev, Yuriĭ Grygorovych 2 Kong, Derong 2 Lebid’, M. V. 2 Li, Bing 2 Liu, Chuntai 2 Makarchuk, Oleg P. 2 Moroz, Mykola 2 Pacífico, Maria José 2 Ratushnyak, S. P. 2 Samoilenko, Igor V. 2 Savchenko, Igor O. 2 Serpa, Cristina 2 Sobchuk, Valentyn V. 2 Tian, Xueting 2 Zheng, Lixuan 1 Airey, Dylan 1 Aveni, Andrea 1 Baranovs’kyĭ, O. M. 1 Baranovskyi, Oleksandr 1 Berti, Patrizia 1 Bodnarchuk, Maksym V. 1 Celletti, Alessandra 1 Chierchia, Luigi 1 Chuikov, Artem 1 Cresson, Jacky 1 Derr, Rabanus 1 Dong, Yiwei 1 Dudkin, N. E. 1 Dyvliash, N. V. 1 Feng, Yan 1 Fermin, Lisandro Javier 1 Fröhlich, Christian 1 Galatolo, Stefano 1 Garko, I. I. 1 Garko, Iryna 1 Gorodetskij, V. V. 1 Ibragim, M. H. 1 Jørgensen, Palle E. T. 1 Kalashnikov, A. V. 1 Karvatsky, Dmytro 1 Khaletska, Zoia 1 Khvorostina, Yu. V. 1 Klymchuk, S. O. 1 Kochkarov, A. M. 1 Kopiika, Oleg 1 Kornelson, Keri A. 1 Koval, Vyacheslav 1 Kulyba, Yuliya 1 Laskar, Jacques 1 Leonetti, Paolo 1 Lévy Véhel, Jacques 1 Liu, Jia 1 Lukova-Chuiko, Nataliia V. 1 Lupain, Marina 1 Lysenko, Iryna 1 Mance, Bill 1 Markitan, V. P. 1 Martynyuk, Olga V. 1 Mogylova, Viktoriia 1 Moroz, M. P. 1 Musienko, Andrey I. 1 Musienko, Andrii P. 1 Niederman, Laurent 1 Olsen, Lars Ole Ronnow 1 Perepelitsa, Vitaly A. 1 Perestyuk, Yuriy M. 1 Petrykiewicz, Izabela 1 Pitera, Marcin 1 Pousse, Alexandre 1 Pratelli, Luca 1 Rásonyi, Miklós 1 Rigo, Pietro 1 Robutel, Philippe 1 Rystsov, I. K. 1 Sergiyenko, Ivan Vasyl’ovych 1 Shkapa, Viktoriya V. 1 Shuman, Karen L. 1 Slutskyi, Oleksandr 1 Stanzhytskyi, Oleksandr M. 1 Stylianou, Anastasios 1 Sydoruk, Liliia ...and 19 more Authors all top 5 Cited in 43 Serials 11 Ukrainian Mathematical Journal 9 Journal of Mathematical Sciences (New York) 7 Theory of Probability and Mathematical Statistics 5 Bulletin des Sciences Mathématiques 4 Journal of Mathematical Analysis and Applications 4 Random Operators and Stochastic Equations 4 Discrete and Continuous Dynamical Systems 4 Matematychni Studiï 4 Modern Stochastics. Theory and Applications 3 Cybernetics and Systems Analysis 3 Fractals 2 Archiv der Mathematik 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Nonlinear Oscillations 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Advances in Mathematics 1 The Annals of Probability 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of Number Theory 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 International Journal of Approximate Reasoning 1 Celestial Mechanics and Dynamical Astronomy 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Positivity 1 Journal of Interdisciplinary Mathematics 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Algebra and Discrete Mathematics 1 Uniform Distribution Theory 1 SIAM Journal on Financial Mathematics 1 Annals of Functional Analysis all top 5 Cited in 25 Fields 50 Measure and integration (28-XX) 49 Number theory (11-XX) 26 Probability theory and stochastic processes (60-XX) 23 Dynamical systems and ergodic theory (37-XX) 18 Real functions (26-XX) 9 General topology (54-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year