РОССИЙСКО-АРМЯНСКИЙ УНИВЕРСИТЕТ

About chair

History of Department:
The Department of Mathematical Cybernetics was founded in 2002.
From the moment of its establishment until 2013, the department functioned under the leadership of Doctor of Technical Sciences, Professor Vasily Tairyan.
Since 2013, the department has been headed by Dr. of Physical and Mathematical Sciences, Professor Rafik Aramyan.

Qualitative staff of the department:
The department consists of 24 employees, of which 5 are main, 19 are external part-timers.

Activities of the department:
The scientific activity of the department is based on the following areas:

Probability Theory and Mathematical Statistics,
Econometrics
Discrete Mathematics
Algebra and Geometry

International educational relations, joint educational programs:
Joint master's program with Kaspersky Lab.

Research activities of the department:

Probability Theory and Mathematical Statistics
Algebra and Geometry
Discrete Mathematics
Econometrics
Combinatorial algorithms
Theory of Algorithms and Mathematical Logic

International scientific relations, joint grants:
The department has established close relations with both Russian and Western scientific centers. In collaboration with the University of Texas at Arlington, West Virginia University (USA), issues related to spherical tomography, which forms the basis of medical diagnostics, are being studied. The direction of financial mathematics and econometrics is also associated with the Friedrich Schiller University of Jena and the University of Bern in Switzerland. In the field of algebra, the department closely cooperates with Russian universities, in particular with Moscow State University and with the Steklov Mathematical Institute in the Russian Academy of Sciences.

Programs

Bachelor's degree educational process:

Probability Theory and Mathematical Statistics
Algebra and Geometry
Discrete Mathematics
Econometrics
Combinatorial Algorithms
Theory of algorithms and mathematical logic
Basics of information security
Optimization methods

Master's educational programs in the following specialties:
01.04.02 Applied Mathematics and Informatics

Mathematical and Software Support for Information Security,
Applied Statistics and Data Science

Postgraduate studies in the specialty:

2.3.6 Methods and Systems of Information Protection, Information Security
Ա.01.05 Probability Theory and Mathematical Statistics

Rafik Aramyan

Head of the Department of Mathematical Cybernetics

[email protected]

Information

Education:

Yerevan State University (1978-1983)
Steklov Institute of Mathematics of the Russian Academy of Sciences in Moscow (1988)
Yerevan State University (2010)
Dissertation: Stochastic Algorithms in Stochastic and Integral Geometry, Doctor of Mathematical Sciences (= European Degree Applicant)

Experience:

1988 – 1994, Yerevan State University, Department of Probability Theory and Mathematical Statistics
- Assistant
1987 – 1998, Institute of Mathematics of the National Academy of Sciences of Armenia
- Junior Researcher
1993 – 1995, American University of Armenia
1998 - present, Institute of Mathematics of the National Academy of Sciences of Armenia
- Researcher
2003 – 2013, Russian-Armenian (Slavonic) University, Department of Mathematical Cybernetics
- Assistant Professor
2013 - present, Russian-Armenian (Slavonic) University, Department of Mathematical Cybernetics
- Professor
2014 - until now, Russian-Armenian (Slavonic) University, Department of Mathematical Cybernetics
- Head of Department
2025 - Russian-Armenian (Slavonic) University, Institute of Mathematics and Informatics
- Director

Specialization: Probability Theory and Mathematical Statistics

Taught Subjects:

Probability Theory and Mathematical Statistics
Econometrics
Actuarial Mathematics
Stochastic and Integral Geometry
Applied Statistics and Statistical Data Analysis

Scientific interests

Probability Theory and Mathematical Statistics
Econometrics
Stochastic and Integral Geometry
Convex Geometry
Inverse problems

List of publications

R. Aramyan, “The Sine Representation of Centrally Symmetric Convex Bodies”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, Vol. 53(6), pp. 307 -312, (Izv. NAN Arm., Matematika, 2018, 53(6), pp. 3-13).
R Aramyan , A Flag representation for n-dimensional convex body, The Journal of Geometric Analysis , 2019, vol. 29 (3), pp. 2998-3009.
R. Aramyan, “To local reconstruction from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications, vol. 470, pp. 102-117, 2019.
R. Aramyan, \Zonoids with an equatorial characterization", Applications of Math- ematics., (No. AM 333/2015) vol. 61( 4), 2016, pp. 413-422.
R. Aramyan, \Reconstruction of Three Dimensional Convex Bodies from the Curvatures of Their Shadows", American Journal of Computational Mathematics vol 5, 2015, pp.86-95.
R. Aramyan, \A Solution of Generalized Cosine Equation in Hilbert's Fourth Problem", Advances in Pure Mathematics Vol.4 No.6, 2014, pp.234-241.
R. Aramyan, \A representation for convex bodies", Armenian J. of Math., vol. 5(1), 2013, pp. 69-74.
R. Aramyan, \Convex bodies and measures in the space of planes", J. of Contemp. Math. Analysis (Armenian Acad. Sci.), vol. 47(2), 2012, pp. 19-30.
R. Aramyan, \Reconstruction of measures in the space of planes", Lobachevskii J. of Math., vol. 32 (4), 2011, pp. 241-246.
R. Aramyan, \Reconstruction of centrally symmetric convex bodies in Rn", Bulet- inul Acad. De StiinteA R. Moldova. Math., vol. 65(1), 2011, pp. 28-32.
R. Aramyan, \The integral and stochastic geometric approach to Hilbert's fourth problem", Proceedings of the 8th Seminar on probability and Stochastic processes University of Guilian, Iran 2011
R. Aramyan, \Solution of an integral equation by consistency method", Lithuanian Math.Journal, vol. 50 (2), 2010, pp. 133-139.
R. Aramyan, \Generalized Radon transform on the sphere", Analysis, vol.30 (3), 2010, pp. 271-284.
R. Aramyan, \Solution of one integral equation on the sphere by methods of integral geometry", Doklady Mathematics, vol. 79(3), 2009, pp. 325-328.
R. Aramyan, \A Representation for the generating density of convex bodies", Lobachevskii J. of Math., vol. 30 (2), 2009, pp. 97-100.
R. Aramyan, \Measure of planes intersecting a convex body", Sutra: Inter. J. of Mathematical Science, Vol. 3 (1), 2010.
Rafik H. Aramyan, Robert M. Mnatsakanov “To recovering the moments from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications vol. 490(2), 2020.
Р. Арамян , “Описание линейно-аддитивных метрик на R^n”, Труды Московского математического общества, том 81(1), 2020, pp.135-142
R. Aramyan, V. Mnatsakanyan, “Conditional moments of the distribution of the distance of two random points in a convex domain in R^2”, Proceedings of the YSU, Physical and Mathematical Sciences vol 54(1) 2020
R. Aramyan, D. Yeranyan, Chord length distribution and the distance between two random points in a convex body in Rn, Gen. Lett. Math (GLM), Vol.9 No.2 2020
Inversion of the two-data spherical Radon transform with the centers on a plane Journal of Mathematical Analysis and Applications, Volume 548, Issue 2 2025 129512 Rafik Aramyan
Reconstruction of piecewise continuous and discrete functions using moments Journal of Mathematical Sciences, 289 2025 188–199 R.M. Mnatsakanov, R.H. Aramyan, F. Jafari
Inversion of the pair of weighted and classical circular Radon transforms in C(ℝ²) Journal of Mathematical Analysis and Applications, Volume 530, Issue 2 2024 — Rafik Aramyan
Recovering a function from spherical means in 3D using local data Inverse Problems and Imaging, Volume 18, Issue 3 2024 690–707 Rafik Aramyan
Inversion of the two-data circular Radon transform centered on a curve on C(ℝ²) Studies in Applied Mathematics, Volume 153, Issue 2 2024 — Rafik Aramyan
Reconstruction of a function defined on ℝ² from its circular transforms centered on an arc Journal of Mathematical Sciences, 280 2024 98–108 R. Aramyan
Reconstruction of a planar centrally symmetric convex domain by random chord distribution Lobachevskii Journal of Mathematics, Vol. 45, No. 12 2024 — R.H. Aramyan, R.M. Mnatsakanov, E. Aramyan, L. Apinyan, F. Jafari
Inversion of the two-data spherical Radon transform centered on a spherical domain in ℝ³ Transactions of the Moscow Mathematical Society, Vol. 85, Issue 2 2024 — R. Aramyan
Восстановление эллипса по распределениям хорд по направлениям Вестник РАУ, №1 2024 17–25 Р.Г. Арамян, Л.А. Апинян
Two Crofton formulas in the three-dimensional space Proceedings of the YSU, Physical and Mathematical Sciences, 58:1 2024 1–7 R.H. Aramyan, E.R. Aramyan
Inversion of the two-data spherical Radon transform centered on a spherical domain in ℝ³ Transactions of the Moscow Mathematical Society, Vol. 85, Issue 2 2024 — R.H. Aramyan
Description of linearly additive metrics in R^n Transactions of the Moscow Mathematical Society, 81(1) 2021 115–121 R. Aramyan
Recovery of bivariate functions from the values of its Radon transform using Laplace inversion Journal of Computational and Applied Mathematics, 395 2021 113557 R.H. Aramyan, R.M. Mnatsakanov
Conditional moments for a d-dimensional convex body J. of Contemp. Math. Analysis (Armenian Acad. Sci.), vol. 56(3) 2021 3–9 R. Aramyan, V. Mnatsakanyan