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Vadym Radchenko
Professor
Department of Mathematical
Analysis
Taras Shevchenko National University of Kyiv |
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Address: |
Department of Mathematical Analysis,
Faculty of Mechanics and Mathematics,
Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska str.,
Kyiv, 01601,
Ukraine
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Telephone: |
(+380-44) 259-05-91 |
Fax: |
(+380-44) 259-03-92 |
E-mail:
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vradchenko@univ.kiev.ua
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Personal Data
First name:
Vadym
Middle Name: Mykolayovych
Last Name: Radchenko
Date and birth:
02 December
1964
Place of birth:
Zaporizhzhya
,
Ukraine, USSR
Nationality:
Ukrainian
Citizenship:
Ukraine
Languages:
Russian,
Ukrainian, Enlgish, German.
Researcher ID:
A-6268-2009
Scopus Author ID: 7004402175
ORCID ID: 0000-0002-8234-2797
ResearchGate:
www.researchgate.net/profile/Vadym_Radchenko
Current Position
Professor of the Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv (Kyiv,
Ukraine)
Academic Experience
- 2008-Present Professor of the Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
- 1999-2008 Associate Professor of the Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
- 1997-1999 Associate Professor of the Department of General Mathematics, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
- 1994-1997 Doctorant of Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Ukraine
- 1992-1994 Associate Professor of the Department of Mathematical Methods in Economy, Zaporizhzhya
State University, Zaporizhzhya, Ukraine
- 1991-1992 Lecturer of the Department of Mathematical Methods in Economy, Zaporizhzhya
State University, Zaporizhzhya, Ukraine
- 1990-1991 Assistant professor of the Department of Mathematical Methods in Economy, Zaporizhzhya
State University, Zaporizhzhya, Ukraine
- 1989-1990 Research scientists, Faculty of Mathematics, Zaporizhzhya
State University, Zaporizhzhya, Ukraine
Professional activities
Courses (Kyiv University):
Courses of school mathematics (Gimnasium No.178, Lyceum of Natural Sciences No.145)
Other professional activities
Areas of research and interest
- Stochastic measures
- Stochastic integration
- Stochastic partial differential equations
- Mathematical
competitions of school students
Degrees
Full Professor of the Department of Mathematical Analysis, 2013 , Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Doctor of Science in Probability Theory and Mathematical Statistics, 2008,
Taras Shevchenko National University of Kyiv.
Advisor Prof.
A.V.Skorokhod.
Docent (equivalent to
Associate Professor), 2001, Department of Mathematical Analysis,
Taras Shevchenko National University of Kyiv.
Candidate of Science (Ph.D.)
in Probability Theory and Mathematical Statistics, 1989,
Kyiv
Taras
Shevchenko
University.
Advisor Prof.
A.V.Skorokhod.
MS in Mathematics, with
honor, 1985,
Kyiv
Taras Shevchenko
University.
Advisor Prof.
A.V.Skorokhod.
Awards
2006 - Honoured Teacher of
Ukraine.
Fellowships
2002-2003, 2008, 2010, 2012, 2015 - Fellowships granted by the Alexander von Humboldt Foundation, Germany (host - Prof. Martina Zahle, Jena University)
Grants
1998 - Grant of Renessance Foundation (Kyiv) for young scientists
1997 - Grant of Soros Teacher (Renessance Foundation, Kyiv)
Selected Publications
- Radchenko V. Stratonovich-type integral with respect to a general stochastic measure. Stochastics 88 (2016), DOI:10.1080/17442508.2016.1197924. (arXiv:1606.05792)
- Radchenko V.M. Integral equations with respect to a general stochastic measures.Teor. Imovir. Mat. Stat. 91 (2014), 154-163 (Ukrainian, English translation in Theory Probab. Math. Stat. - link)
- Radchenko V. Heat equation with general stochastic measure colored in time. Modern Stochastics: Theory
and Applications,1 (2014), No. 2, 129-138.(paper, arXiv:1503.05371)
- Radchenko V. Evolution equations with general stochastic measures in Hilbert space. Teor. Veroyatn. i
Primenen. 59 (2014), No. 2, 375-386. (Russian, English translation in Theory Probab. Appl. - link)
- Radchenko V. Stochastic partial differential equations driven by general stochastic measures. In: Modern
Stochastics and Appl. (V.Korolyuk, N.Limnios, Yu.Mishura, L.Sakhno, G.Shevchenko, Eds.), Springer, Cham
Heidelberg, 2014, p. 143--156. (link)
- Radchenko V. Riemann integral of a random function and the parabolic equation with a general stochastic measure.
Teor. Imovir. Mat. Stat 87 (2012), 163-175. (arXiv:1201.1792)
- Radchenko V., Zahle M. Heat equation with a general stochastic measure on nested fractals. Statist.
Prob. Lett. 82 (2012), No. 3, 699-704. (arXiv:1208.0445)
- Radchenko V.M. The cable equation with a general stochastic measure. Teor. Imovir. Mat. Stat. 84
(2011), 126-133 (Ukrainian, English translation in Theory Probab. Math. Stat. - link)
- Radchenko V.M. Properties of the integrals w.r.t. general stochastic measure in the stochastic heat equation.
Teor. Imovir. Mat. Stat. 82 (2010), 104-114 (Ukrainian, English translation in Theory Probab. Math.
Stat. - link)
- Radchenko V. Mild solution of the heat equation with a general stochastic measure. Studia Math. 194
(2009), No. 3, 231--251. (link)
- Radchenko V. Paths of stochastic measures and Besov spaces. Teor. Veroyatn. i Primenen. 54 (2009),
No. 1, 158--166. (Russian, English translation in Theory Probab. Appl. - link)
- Radchenko V. Heat equation and wave equation with general stochastic measures. Ukrain.Math.
Zh. 60 (2008), No. 12, 1675--1685 (Russian, English translation in Ukrainian Math. J.)
- Radchenko V.M. Variance-minimizing hedging in a model with jumps at Poisson random times. Teor. Imovir.
Mat. Stat, 78 (2008), 160-175 (paper)
- Radchenko V.M. Besov regularity of stochastic measures. Stat.Probab.Lett. 77 (2007), No. 8, 822-825. (arXiv:1208.1001)
- Radchenko V.M. Variance-minimizing hedging in a model with jumps at deterministic times. Teor. Veroyatn. i Primenen. 51 (2006), No. 3, 608-618. (Russian, English translation in Theory Probab. Appl. - link)
- Radchenko V.M. Parameter integrals with respect to
general stochastic measure. Teor. Imovir. Mat. Stat 75 (2006), 161 -164 (Ukrainian, English translation in Theory Probab. Math. Stat.)
- Radchenko
V.
Completeness of the space of real functions integrable with respect to
stochastic measure.
Visn.,
Mat. Mekh., Kyiv. Univ. Im. Tarasa Shevchenka, No. 16 (2006), 62-65. (preprint, Ukrainian)
- Radchenko V.M. On a product of real and stochastic measures. Teor. Imovir. Mat. Stat 70 (2004), 144-48. (Ukrainian, English translation in Theory Probab. Math. Stat.)
- Radchenko V.M. Integration over general random measures in the sense of Riemann. Teor. Imovir. Mat. Stat 62 (2000), 119-123. (Ukrainian, English translation in Theory Probab. Math. Stat.)
- Radchenko V.N. Integrals with respect to General Random
Measures. Proceedings of Institute of Mathematics. Vol. 27. Kyiv, Institute of Mathematics, 1999, 196 p. (preprint, Russian)
- Radchenko V.N. Differentiability of integrals of real functions with respect to L_0-valued measures. Ukrain. Math. Zh. 51 (1999). No. 11, 1582-1585. (Russian, English translation in Ukrainian Math. J.)
- Radchenko V.N. Integrals of some random functions with respect to general random measures. Ukrain. Math. Zh. 51 (1999). No. 8, 1087-1085. (Russian, English translation in Ukrainian Math. J.)
- Radchenko V.M. The de la Vallee-Poussin theorem for integrals over general random measures. Teor. Imovir. Mat. Stat 57 (1997), 160-162. (Ukrainian, English translation in Theory Probab. Math. Stat.)
- Radchenko V.N. Convergence of integrals of unbounded real functions with respect to random measures. Teor. Veroyatn. i Primenen. 42 (1997), No. 2, 358-364. (Russian, English translation in Theory Probab. Appl. - link)
- Radchenko V.N. On a definition of the integral of a random function. Teor. Veroyatn. i Primenen. 41 (1996), No. 3, 677-682. (Russian, English translation in Theory Probab. Appl. - link )
- Radchenko V.N. Uniform integrability and the Lebesgue theorem for convergence in L_0-valued measures. Ukrain. Math. Zh. 48 (1996). No. 6, 857-860. (Russian, English translation in Ukrainian Math. J.)
- Radchenko V.N. On the convergence of integrals with respect to L_0-valued measures. Mat. Zametki 53 (1993), No. 5, 102-106. (Russian, English translation in Math. Notes.)
- Radchenko V.N. Uniform integrability for integrals with respect to L_0-valued measures. Ukrain. Math. Zh. 43 (1991). No. 9, 1264-1267. (Russian, English translation in Ukrainian Math. J.)
- Radchenko V.N. Integrals with respect to random measures and random linear functionals. Teor. Veroyatn. i Primenen. 36 (1991), No. 3, 594-596. (Russian, English translation in Theory Probab. Appl. - link )
- Radchenko V.N. The Radon-Nikodym theorem for random measures. Ukrain. Math. Zh. 41 (1989). No. 9, 63-67. (Russian, English translation in Ukrainian Math. J.)
Selected Conferences
- Probability in Abstract Spaces, Kyiv, October 2015. (talk)
- PRESTO, Kyiv, April 2015. (talk)
- MSTA-III, Kyiv, September 2012. (talk)
- MSTA-II, Kyiv, September 2010. (talk)
Selected Teaching Publications
- Radchenko V.M. Theory of Measure and Integration, Kyiv University, 2012. (preprint, Ukrainian)
- Borisenko A.D., Mishura Yu.S., Radchenko V.M., Shevchenko G.M. Collection of Problems in
Financial Mathematics, Kyiv University, 2007. (preprint, Ukrainian)
Selected Publications on School Mathematics
- Radchenko V.M. Methods of proving of plane geometry inequalities. In the World of Mathematics (2005), vol. 11, no. 4. pp.29-36. (preprint, Ukrainian)
- Leyfura V.M., Mitelman I.M., Radchenko V.M., Yasinskiy V.A. Mathematical Olympiads of Ukrainian School Students, 1991-2000. Kyiv, Tehnika, 2003, 544 p. (Ukrainian)
- Radchenko V.M. Some methods of proving of combinatorial equalities in olympiad problems. (preprint, Ukrainian)
- Radchenko V.M. Using of functions of many variables in proving of inequalities. (preprint, Ukrainian)
- Dobosevych M.S. and others. Mathematical Olympiads of Ukrainian School Students, 2001-2002. (preprint, Ukrainian)
- Dobosevych M.S. and others. Mathematical Olympiads of Ukrainian School Students, 2000-2001. Kamyanets-Podilskiy, Abetka-Nova, 2001, 48 p. (preprint, Ukrainian)
- Konet I.M., Pan'kov V.G., Radchenko V.M., Teplinskiy Yu.V. Regional Mathematical Olympiads. Kamyanets-Podilskiy, Abetka, 2000, 304 p. (Ukrainian, second edition - Abetka, 2005, 344 p.)
- Dobosevych M.S. and others. Mathematical Olympiads of Ukrainian School Students, 1999-2000. Kamyanets-Podilskiy, Abetka, 2000, 68 p. (preprint, Ukrainian)
- Dobosevych M.S. and others. Mathematical Olympiads of Ukrainian School Students, 1998-1999. Kamyanets-Podilskiy, Abetka, 2000, 52 p. (preprint, Ukrainian)
- Leyfura V.M., Mitelman I.M., Radchenko V.M., Yasinskiy V.A. Problems of International Mathematical Olympiads and Methods of their Solving. Lviv, Evrosvit, 1999, 128 p. (preprint, Ukrainian)
- Dobosevych M.S. and others. Mathematical Olympiads of Ukrainian School Students, 1997-1998. (preprint, Ukrainian)
Last modified: June, 2016, by V.Radchenko