team

Rafik Aramyan

Head of the Department of Mathematical Cybernetics

About

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

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