## Safarov Utkir

### Associate Professor

**Date and place of birth:** 10.04.1983, Tashkent city, Uzbekistan

**Nationality:** Uzbek

**Education:** High

**Academic degree:** PhD

**Academic rank:** Associate Professor

**E-mail: **safarovua@mail.ru

**Phone: **+998 71 2462087

**Education**

Bachelor- 2000-2004 Samarkand state University, Faculty of Mathematics.

Masters – 2004-2006 Samarkand state University, Faculty of Mathematics, Department of Mathematical modelling and Optimization.

PhD in Physics and mathematics – 2012 National University of Uzbekistan, Tashkent, Uzbekistan. Specialization – Probability theory and mathematical statistics.

Certificate of the participant of ICTP – NLAGA School in Dynamical Systems and Ergodic theory, 2014, Mbour, Senegal.

Certificate of the participant of SEOUL ICM 2014-International Congress of Mathematicians, 2014, Seoul, Korea.

Certificate of the participant of Second USA-Uzbekistan Conference on Analysis and Mathematical Physics, Urgench, Uzbekistan

**Research interest**

Dynamical Systems, Probability Theory, Chaotic Dynamics, Mathematical Analysis

**Honours, Awards, Fellowships, Membership of Professional Societies**

2015 –2017 TWAS Research Grants research grant No.: 14-121-RG/MATHS/AS_G-UNESCO FR:324028604

#### Main Publications

1. A. Dzhalilov, D. Mayer and U. Safarov. On the conjugation of piecewise smooth circle homeomorphisms with a finite number of break points. Nonlinearity, V. 28, pp. 2441-2459, 2015.

2. A.A. Dzhalilov, D. Mayer, U.A. Safarov: Piecewise-Smooth Homeomorphisms of the Circle with several break points. Izvestiya: Mathematics.-2012.-№ 1(76).-С. 94-112.

3. U.A. Safarov: Non rigidity of Р- circle homeomorphisms. Uzbek Mathematic Journal Vol. 3, 2015, pp.139-154(in Russian).

4. U.A. Safarov: Conjugations of circle homeomorphisms with several break points. Dokl.Acad. Science Repub. Uzbekistan, Vol. 4, 2014, pp. 3-5(in Russian).

5. Safarov U.A.: Invariant Measure of Circle Homeomorphisms with several break points. Uzbek Mathematic Journal Vol. 2, 2010, pp.139-154(in Russian).

6. U.A. Safarov: Invariant Probability Distributions of Critical Circle Homeomorphisms with several break points. Uzbek Mathematic Journal Vol. 2, 2011, pp.128-144(in Russian).

7. Sh.K. Formanov, A.A. Dzhalilov, U.A. Safarov: Invariant Pprobability Distributions of Circle Homeomorphisms with several break points. Dokl. Acad. Science Repub. Uzbekistan, Vol. 3, 2009, pp. 3-6(in Russian).

8. U.A. Safarov: Quasi-symmetric conjugations of critical circle homeomorphisms with infinity number of breaks. Dokl. Acad. Science Repub. Uzbekistan(in Russian), Vol.3,2016, p. 6-9.

9. U.A. Safarov: Non rigidity of critical circle homeomorphisms. Uzbek Math. Journal(in Russian) №2, 2017, p.134-136.

10. U.A. Safarov: Invariant Probability Distributions of Critical Circle Homeomorphisms with infinity number of breaks. Dokl. Acad. Science Repub. Uzbekistan (in Russian) Vol.3, 2017, p. 6-8

11. U.A. Safarov: Singular Measures of Circle Homeomorphisms with Several Break Points. Modern problems mathematics, mechanics and information teghnologies: Abs. Int. Conf. Tashkent, 2008. pp. 246-247.

12. U.A. Safarov: Singular measure of critical circle homeomorphisms with several break points. International School and Foliations, Dynamical Systems, Singularity Theory and Perverse Sheaves: Abs. Int. Conf. Samarkand, 2009, pp. 59-63.

13. U.A. Safarov: Probability distributions of circle maps with several break points. Of the third congress of the world mathematical society of Turkic countries: Abs. Int. Conf. Almaty, 2009, p. 37.

14. U.A. Safarov: Critical circle homeomorphisms with several break points. Modern problems of applied mathematics and information technologies-Al Khorazmiy: Abs. Int. Conf. Tashkent, 2009, p. 44.

15. A.A. Dzhalilov, U.A. Safarov: Singular measure circle maps with singularity. International Conference on Diferential Equations and Dynamical Systems,Abstracts, Suzdal, July 2-7, 2010. pp. 75-76.

16. A.A. Dzhalilov, U.A. Safarov: Singular distributions of probability of piecewise-smooth circle homeomorphisms with breaks. // Proceedings of Turin Polytechnic University in Tashkent 2012. C. 43-45.

17. A.A. Dzhalilov, U.A. Safarov: Singular conjugacies of circle homeomorphisms with several break points. Acta of Turin polytechnic university in Tashkent, Scientific – technical journal, N3, 2014.

18. Safarov U. On conjugations between two critical circle homomorphisms. Abstracts of the communications of the V congress of Turkic World Mathematicians, June 5-7, Kyrgyzstan, 2014. p.142-144.

19. Dzhalilov A.A., Safarov U.A.: On conjugations of circle homeomorphisms with singularities, «Actual problems of geometry and its applications», pp. 15-17, Tashkent, 27-28 October, 2014.

20. U.A. Safarov: Singular Conjugations of circle homeomorphisms with several critical points. Modern methods of mathematical physics and its applications, Uzbekistan, April, 15-17, 2015, p. 135-136.

21. U.A. Safarov: Quasi-symmetric conjugations of circle homeomorphisms with several critical points. Limit theorems of Theory of probability, Namangan, Uzbekistan, May 11-12, 2015, p. 53-55.

22. U.A. Safarov. Conjugations of critical circle homeomorphisms with breaks. Abstracts of the international conference “Algebra, Analysis and Quantum Probability”, Ташкент, September 10-12, 2015.

23. U.A. Safarov. Invariant probability measure of critical circle homeomorphisms with infinitely many of breaks. Abstracts of the republican scientific-applied conference “Statistics and its applications”. Tashkent, October 16-17, 2015.

24. U.A. Safarov: Absolute continuity of two invariant probability measures of circle homeomorphisms with singularities. Problems of modern topology and its applications, Uzbekistan, May 5-6, 2016, p. 255-256.

25. U.A. Safarov: Density of two invariant probability measures of сircle homеomorphisms with break point. International Conference “On nonlinear analysis and its applications”, Uzbekistan, September 19-21, 2016, p. 122-123.