Professor |

**Curriculum Vitae**

**Main publications**

**Professional activity**

**Сontacts**

PERSONAL INFORMATION

**Date of birth:** July 29, 1966

**Address:** Department of Mathematics and Computer Sciences,

Precarpathian National University,

57 Shevchenka str., Ivano-Frankivsk, Ukraine, 76018

Phone (office): +38-0342-59-60-50

Phone (cell): +38-050-373-24-51

**e-mail:** mykhailo.osypchuk@pnu.edu.ua

**Web page:** https://kmfa.pnu.edu.ua/en/osypchuk-mykhaylo/

**ORCID ID: **https://orcid.org/0000-0001-6100-1654

**SCOPUS Author ID:** https://www.scopus.com/authid/detail.uri?authorId=16414242800

**Web of Science Researcher**** ****ID: **https://www.webofscience.com/wos/author/record/1764761

EDUCATION

1983 – 1990 Taras Shevchenko State University of Kyiv, Faculty of Mechanics and Mathematics, diploma of higher education with honors RV №823850, date of issue 29.06.1990, specialty – mathematics, qualification – mathematician, teacher

1990 – 1993 Taras Shevchenko University of Kyiv, postgraduate study (PhD study), diploma of candidate of physical and mathematical sciences KN №002810, date of issue September 20, 1993, specialty (01.01.05) probability theory and mathematical statistics;

2016 – 2018 Vasyl Stefanyk Precarpathian National University, postdoctoral study

2019 Institute of Mathematics of the National Academy of Sciences of Ukraine, diploma of Doctor of Physical and Mathematical Sciences DD №009129, date of issue 15.10.2019, specialty (01.01.05) probability theory and mathematical statistics.

**Title of PhD thesis:** “Constructing of Diffusion Processes with Irregular Drift and Exploring its Properties”

**Thesis Advisor:** Prof. DrSci. CM of NAS of Ukraine Mykola Portenko

**Title of DrSci thesis:** “Symmetrical Stable Stochastic Processes and its Transformation”

RESEARCH INTERESTS

**Primary research interests:** probability theory, mathematical statistics, stochastic processes, statistical analysis.

**Specific research interests:** diffusion processes, stable processes, theory of stochastic differential equations, theory of potentials for pseudo-differential equations, probabilistic representations for the solutions to some problems of mathematical physics, applied statistical analysis and software.

PROFESSIONAL EXPERIENCE

1993 – 2006 – Ivano-Frankivsk National University of Oil and Gas, Assistant Professor, Associate Professor of Higher Mathematics;

2006 – 2017 – Vasyl Stefanyk Precarpathian National University, Head of the Department of Statistics and Higher Mathematics;

2018 till now – Vasyl Stefanyk Precarpathian National University, Associate Professor, Professor, Department of Mathematical and Functional Analysis.

2019 till now Carpathian institute of analytics (Frankolytics), Data analysis expert.

MEMBERSHIP

Member of editorial boards of the scientific journals:

- Carpathian Mathematical Publications,
- Precarpathian Bulletin of the Shevchenko Scientific Society. Number.
- In the World of Mathematics

COMMUNICATION SKILLS

Languages:

English: Intermediate written and oral skills

Ukrainian: Excellent written and oral skills (native language)

Software:

Mathematical (statistical) software: Mathematica, R, Statistica, SPSS

Publishing software: LaTeX

Office software: Libre Office, MS Office

- Mamalyha Kh. V., Osypchuk M. M. On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric stable stochastic process. Carpathian Math. Publ. 2019, 11, 2, -P. 350-360.
- Osypchuk M. M., Portenko M. I. On the third initial-boundary value problem for some class of pseudo-differential equations related to a symmetric stable process. J. Pseudo-Differ. Oper. Appl. -2018. -V. 9, No. 1 4, -P. 811-835.
- Osypchuk M.M., Portenko M.I. On some Markov processes related to a symmetric stable process. Stochastіcs. -2018. -V. 90, 7. -P. 972-991.
- Osypchuk M. M. On the crossings number of a hyperplane by a stable random process. Carpathian Math. Publ. -2018. -V. 10, 2, -P. 346-351.
- Osypchuk M. M., Portenko M. I. On the construction of a sticky membrane located on a given surface for a symmetric stable process. Stochastic Processes Theory, -2018. -V. 23 (1), -P. 66-72.
- Osypchuk M.M., Portenko M.I. On the distribution of a rotationally invariably stable process at the moment when it is a hyper hyperplane. Dopov. Nat. akad. science Ukr. -2018. 12, -P. 14-20.
- Osypchuk M.M., Portenko M.I. Symmetric steady random process and the third initial boundary value problem for the corresponding pseudodifferential equation. Ukr. math. journ. -2017. -V. 69, 10. -P. 1406-1421.
- Osypchuk M.M., Portenko M.I. On the construction of some membranes for a symmetric stable process. Communities on Stochastic Analyzes. -2017. -V. 11, 1. -P. 11-20.
- Osypchuk M.M. On some perturbations of a symmetric stable process and the corresponding Cauchy problems. Theory Stoch. Process. -2016. -V. 21, 1. -P. 64-72.
- Osypchuk M.M., Portenko M.I. On the potentials of a simple layer for a class of pseudodifferential equations. Ukr. math. journ. -2015. -V. 67, 11. -P. 1512-1524.
- Osypchuk M.M. On some perturbations of a stable process and solutions to the Cauchy problem for a class of pseudo-differential equations. Carpathian Math. Publ. -2015. -V. 7, 1. -P. 101–107.
- Osypchuk M.M., Portenko M.I. On Ornshtein-Uhlenbeck’s measure of a Hilbert ball in the space of continuous functons. Theory Stoch. Process. -2014. -V. 19 (35), 1. -P. 46-51.
- Osypchuk M.M., Portenko M.I. One type of singular perturbation of a multidimensional stable process. Theory Stoch. Process. -2014. -V. 19 (35), 2. -P. 42-51.
- Bigun G.S., Osypchuk M.M. Diffusion generated by the venereal process. Carpathian Mat. publ. -2013. -V. 5, 2. -P. 180-186.
- Osypchuk M.M. On one task of optimal control of the venereal process. Precarpathian Bulletin of NTSh (series: Number). -2012. 1 (17). -P. 21-27.
- Osypchuk M. M., Portenko M. I. An extremum problem for some class of Brown motions with drifts. Journal of Mathematical Scenes. -2011. -V. 179, 1. -P. 164-173.
- Osypchuk M.M., Portenko M.I. Boundary distribution of local times at zero of a sequence of diffusion processes. Mathematical Bulletin of NTSH. -2011. -V. 8. -P. 168-185.
- Osypchuk M.M., Portenko M.I. On the number of arbitrary level crossings by a sequence of diffusion processes with periodic coefficients. Mathematical Studios. 2010. -V. 33, 2. -P. 199-211.
- Osypchuk M.M. On the boundary distribution of the number of sections of sequences of equations by some sequence of diffusion processes. Carpathian Mat. publ. 2009, Vol.1, No.2. – P. 191-196.
- Osypchuk M.M. Density of transition probability of one class of generalized diffusion processes. Ukr. math. journ. -1998. -V. 50, 10. -P. 1433-1437.
- Osypchuk M.M. Diffusion with irregular transfer. Probability theory and mathematical statistics. -1996. -V. 54. -P. 122-128.
- Osypchuk M.M. Diffusion with irregular transfer in Hilbert space. Ukr. mate. . -1995. -V. 47, 9. -P. 1224-1230.
- Osypchuk M.M. Generalized diffusion process in Hilbert space. Asymptotic analysis of random evolutions. Coll. of sciences. Akademy of Science of Ukraine. Institute of Mathematics. -1994. -P. 210-221.
- Osypchuk M.M. On one transformation of the Wiener process in Rm by means of a functional of the local time type on the surface. Ukr. math. journ. 1993 vol. 45, no. 6, P. 863 – 867.
- Mamalyha, Kh. V, Osypchuk, M. M. Properties of single layer potentials for a pseudo- differential equation related to a linear transformation of a rotationally invariant stable stochastic process. Mat. Stud. 2021; 55(1): 94-106. Available from: http://www.matstud.org.ua/ojs/index.php/matstud/article/view/104

**Professional experience**

• 1993 – 2006 Ivano-Frankivsk National University of Oil and Gas, Assistant Professor, Associate Professor of Higher Mathematics;

• 2006 – 2017 Vasyl Stefanyk Precarpathian National University, Head of the Department of Statistics and Higher Mathematics;

• from 2018 Vasyl Stefanyk Precarpathian National University, Associate Professor, Professor, Department of Mathematical and Functional Analysis;

• from 2019 Carpathian institute of analytics (Frankolytics), Data analysis expert.

**Scientific interests** – random processes (diffusion, stable), theory of potentials for pseudo-differential equations, applied statistical analysis;

total number of publications: 50 scientific articles, 25 educational and methodical publications, 4 patents;

member of editorial boards of scientific journals: Carpathian mathematical publications (Carpathian mathematical publications);

**Dissertation submission**: 5 PhD theses

- Stefans’ka N.O. Fourier transform of general stochastic measures and its application (23.09.2019, D 26.001.37),
- Rusaniuk L.I. The equation of mathematical physics with random factors having heavy tails of distribution (23.01.2019, D 26.001.37),
- Tantsiura M.V. Limiting theorems for counted systems of stochastic differential equations with interaction (11.04.2017, D 26.206.02),
- Kartashov Yu. M. Boundary theorems for difference additive functionals from Markov chains (2011, D 26.001.37),
- Vovchanskyi M. B. Coalescing stochastic flows and point processes
**(**13.04.2021, D 26.206.02).

**Participation in scientific conferences** –

- Stochastic Processes and Abstract Spaces International Conference. (Kyiv, 14-16 October 2015),
- International V. Skorobohatko mathematical conference (Drogobych, 25-28.08.2015),
- Limit theorems and probabilistic theory, number theory and mathematical statistics international workshop and honor of Prof. В.В. Buldygin (Kyiv, 10-12-10.2016),
- International Conference on Differential Equations, Mathematical Physics and Applications (Cherkasy, 17-19/10/2017),
- International Conference Modern Stochastics: Theory and Applications. IV (Kyiv, May 24-26, 2018),
- International Conference “Stochastic Equatons, Limit Theorems and Statistics of Stochastic Processes”, dedicated to the 100th annual opponent of II Gikhman (Kyiv, 17-22.09.2018),
- Kh. Mamalyha, M. Osypchuk On single layer potentials for some pseudo-differential equations. XI International Skorobohatko mathematical conference (October 26 – 30, 2020, Lviv, Ukraine).

**Management of students’ scientific work** (Bigun G., Mamalyha Kh., Semkiv I.), graduate students (Mamalyha Kh., Boyko M.)

Ivano-Frankivsk, 76018, Shevchenko str., 57, administrative building, room 302

Tel. +38(0342)596050, +380503732451

e-mail: mykhailo.osypchuk@pnu.edu.ua