Pratsiovytyi Mykola Viktorovych
Publications
Books
1. A. F. Turbin and M. V. Pratsiovytyi, Fractal sets, functions, and probability distributions, Nauk. Dumka, Kyiv, 1992 (in Russian).
2. M. V. Pratsiovytyi, Fractal approach to investigation of singular probability distributions, Natl. Pedagog. Mykhailo Drahomanov Univ. Publ., Kyiv, 1998 (in Ukrainian).
3. O. M. Baranovskyi, M. V. Pratsiovytyi, and G. M. Torbin, Ostrogradsky–Sierpiński–Pierce series and their applications, Nauk. Dumka, Kyiv, 2013 (in Ukrainian).
Selected papers
1. M. V. Pratsiovytyi and G. M. Torbin, Superfractality of the set of numbers having no frequency of n-adic digits, and fractal probability distributions, Ukrainian Math. J. 47 (1995), no. 7, 1113–1118.
doi:10.1007/BF01084907
2. Sergio Albeverio, Mykola Pratsiovytyi, and Grygoriy Torbin, Fractal probability distributions and transformations preserving the Hausdorff–Besicovitch dimension, Ergodic Theory Dynam. Systems 24 (2004), no. 1, 1–16.
doi:10.1017/S0143385703000397
3. Sergio Albeverio, Oleksandr Baranovskyi, Mykola Pratsiovytyi, and Grygoriy Torbin, The Ostrogradsky series and related Cantor-like sets, Acta Arith. 130 (2007), no. 3, 215–230.
doi:10.4064/aa130-3-2
4. Mykola Pratsiovytyi and Natalya Vasylenko, Fractal properties of functions defined in terms of Q-representation, Int. J. Math. Anal. (Ruse) 7 (2013), no. 64, 3155–3167.
doi:10.12988/ijma.2013.311278
5. Mykola V. Pratsiovytyi and Valeriy M. Kovalenko, Probability measures on fractal curves (probability distributions on the Vicsek fractal), Random Oper. Stoch. Equ. 23 (2015), no. 3, 161–168.
doi:10.1515/rose-2014-0036
6. O. M. Baranovskyi and M. V. Pratsiovytyi, On one singular function of Cantor type related to Engel series, Fractal Analysis Related Problems: Trans. Inst. Math. Natl. Acad. Sci. Ukraine 16 (2019), no. 3, 130–147 (in Ukrainian).
URL
7. M. V. Pratsiovytyi, O. M. Baranovskyi, and Yu. P. Maslova, Generalization of the Tribin function, Nonlinear Oscil. 22 (2019), no. 3, 380–390 (in Ukrainian). URL
Translation: M. V. Pratsiovytyi, O. M. Baranovskyi, and Yu. P. Maslova, Generalization of the Tribin function, J. Math. Sci. 253 (2021), no. 2, 276–288. doi:10.1007/s10958-021-05227-3, SharedIt
More publications
MR Author ID: 233741
Publications reviewed in zbMATH
1. A. F. Turbin and M. V. Pratsiovytyi, Fractal sets, functions, and probability distributions, Nauk. Dumka, Kyiv, 1992 (in Russian).
2. M. V. Pratsiovytyi, Fractal approach to investigation of singular probability distributions, Natl. Pedagog. Mykhailo Drahomanov Univ. Publ., Kyiv, 1998 (in Ukrainian).
3. O. M. Baranovskyi, M. V. Pratsiovytyi, and G. M. Torbin, Ostrogradsky–Sierpiński–Pierce series and their applications, Nauk. Dumka, Kyiv, 2013 (in Ukrainian).
Selected papers
1. M. V. Pratsiovytyi and G. M. Torbin, Superfractality of the set of numbers having no frequency of n-adic digits, and fractal probability distributions, Ukrainian Math. J. 47 (1995), no. 7, 1113–1118.
doi:10.1007/BF01084907
2. Sergio Albeverio, Mykola Pratsiovytyi, and Grygoriy Torbin, Fractal probability distributions and transformations preserving the Hausdorff–Besicovitch dimension, Ergodic Theory Dynam. Systems 24 (2004), no. 1, 1–16.
doi:10.1017/S0143385703000397
3. Sergio Albeverio, Oleksandr Baranovskyi, Mykola Pratsiovytyi, and Grygoriy Torbin, The Ostrogradsky series and related Cantor-like sets, Acta Arith. 130 (2007), no. 3, 215–230.
doi:10.4064/aa130-3-2
4. Mykola Pratsiovytyi and Natalya Vasylenko, Fractal properties of functions defined in terms of Q-representation, Int. J. Math. Anal. (Ruse) 7 (2013), no. 64, 3155–3167.
doi:10.12988/ijma.2013.311278
5. Mykola V. Pratsiovytyi and Valeriy M. Kovalenko, Probability measures on fractal curves (probability distributions on the Vicsek fractal), Random Oper. Stoch. Equ. 23 (2015), no. 3, 161–168.
doi:10.1515/rose-2014-0036
6. O. M. Baranovskyi and M. V. Pratsiovytyi, On one singular function of Cantor type related to Engel series, Fractal Analysis Related Problems: Trans. Inst. Math. Natl. Acad. Sci. Ukraine 16 (2019), no. 3, 130–147 (in Ukrainian).
URL
7. M. V. Pratsiovytyi, O. M. Baranovskyi, and Yu. P. Maslova, Generalization of the Tribin function, Nonlinear Oscil. 22 (2019), no. 3, 380–390 (in Ukrainian). URL
Translation: M. V. Pratsiovytyi, O. M. Baranovskyi, and Yu. P. Maslova, Generalization of the Tribin function, J. Math. Sci. 253 (2021), no. 2, 276–288. doi:10.1007/s10958-021-05227-3, SharedIt
More publications
MR Author ID: 233741
Publications reviewed in zbMATH