Rouben V. Ambartzumian (Armenian: ;; born 1941) is an Armenian mathematician and Academician of National Academy of Sciences of Armenia. He works in Stochastic Geometry and Integral Geometry where he created a new branch, combinatorial integral geometry. The subject of combinatorial integral geometry received support from mathematicians K. Krickeberg and D. G. Kendall at the 1976 Sevan Symposium (Armenia) which was sponsored by Royal Society of London and The London Mathematical Society. In the framework of the later theory he solved a number of classical problems in particular the solution to the Buffon Sylvester problem as well as Hilbert's fourth problem in 1976.R. V. Ambartzumian, A note on pseudo-metrics on the plane, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1976, Volume 37, Issue 2, pp 145-155 He is a holder of the Rollo Davidson Prize of Cambridge University of 1982. Rouben's interest in Integral Geometry was inherited from his father. Nobel Prize winner Allan McLeod Cormack wrote: "Ambartsumian gave the first numerical inversion of the Radon transform and it gives the lie to the often made statement that computed tomography would have been impossible without computers".Computed Tomography, Some History and Recent Developments, Proc. of Symposia in Applied Mathematics, Vol. 29, p. 35, 1985 Victor Hambardzumyan, in his book "A Life in Astrophysics",V. A. Ambartsumian, A Life in Astrophysics : Selected Papers of Viktor Ambartsumian, New York: Allerton Press, 1998, wrote about the work of Rouben V. Ambartzumian, "More recently, it came to my knowledge that the invariance principle or invariant embedding was applied in a purely mathematical field of integral geometry where it gave birth to a novel, combinatorial branch." See R. V. Ambartzumian, «Combinatorial Integral Geometry», John Wiley, 1982.

Experience 1968 – present, Head of department, Institute of Mathematics, National Academy of Sciences of Armenia 1990 – 2010 Chief Editor of the Izvestia NAN RA Matematika (in Russian) 1990 – 2010 Translation Editor of Journal of Contemporary Mathematical Analysis, Allerton Press, Inc. New York (the English Translation of Izvestia NAS RA Matematika) 2009 -2013 Director of the FREEZWATER project, Yerevan, Armenia

Education, scientific degrees 1986 Academician of National Academy of Sciences of Armenia 1975 Soviet Doctor of Mathematics and Physics, from Steklov Mathematical Institute, Moscow 1968 Soviet Kandidat of Mathematics and Physics, from Steklov Mathematical Institute, Moscow 1959–1964 Moscow State University diploma, Mathematician.

Books authored (Review)

Collections of papers, Editor “Combinatorial Principles in Stochastic Geometry” (in Russian) NASRA Publishing House, Yerevan 1980 The paper contains a review of the main results of Yerevan research group in planar stochastic geometry, in particular the second order random geometrical processes using the methods of integration of combinatorial decompositions and invariant imbedding. “Stochastic Geometry, Geometric Statistics, Stereology” (Proceedings of the Conference held at Oberwolfach, 1983). Teubner - Texte zur Mathematik, Band 65, Leipzig 1983 “Stochastic and Integral Geometry”, (Proceedings of the Second Sevan Symposium on Integral and Stochastic Geometry), in Acta Applicandae Mathematicae, Vol 9, Nos 1-2 (1987)

Organizer of International Conferences 1978 – I Sevan Symposium on Integral Geometry “200 anniversary of Buffon problem”, Sevan, Armenia. Sponsorship from the Royal Society of London 1983 – Conference on Stochastic Geometry, Geometric Statistics and Stereology, Oberwolfach (Germany) 1985 – II Sevan Symposium on Integral and Stochastic Geometry, Sevan, Armenia 1991- Conference on Stochastic Geometry, Oberwolfach (Germany) 2013- Swiss –Armenian Round Table

References

Ambartzumian, R. V., Wicksell problem for planar particles of random shape http://www.math.uni-magdeburg.de/stoch2002/abstracts/s6-ambartzumian.pdf

https://link.springer.com/article/10.3103%2FS1068362307010013?LI=true Palm distributions and random colorings of the plane http://www.mathnet.ru/php/presentation.phtml?option_lang=eng&presentid=250 Ambartzumian, R.V. J. Contemp. Mathemat. Anal. (2009) 44: 25. https://doi.org/10.3103/S1068362309010063 Ambartzumian, R.V. J. Contemp. Mathemat. Anal. (2007) 42: 3. https://doi.org/10.3103/S1068362307010013 Ambartzumian, R.V. J. Contemp. Mathemat. Anal. (2008) 43: 3. https://doi.org/10.3103/s11957-008-1002-0 Амбарцумян, Р. В. (1999) Аналитические результаты комбинаторной интегральной геометрии : Обзор. Հայաստանի ԳԱԱ Տեղեկագիր. Մաթեմատիկա, 34 (6). pp. 7–51. http://mathematics.asj-oa.am/id/eprint/580 Ambartzumian, R. V. (2013) Parallel X-ray tomography of convex domains as a search problem in two dimensions. Հայաստանի ԳԱԱ Տեղեկագիր. Մաթեմատիկա, 48 (1). pp. 37–52. http://mathematics.asj-oa.am/id/eprint/2334 https://books.google.com/books?id=DYIfNZ_RRS4C&dq=%22%D1%80+%D0%B2+%D0%B0%D0%BC%D0%B1%D0%B0%D1%80%D1%86%D1%83%D0%BC%D1%8F%D0%BD%22+OR+%22r+v+ambartzumian%22&pg=PR9 A. A. Krasnovsky Jr., N. N. Drozdova, Ya. V. Roumbal, A. V. Ivanov, and R. V. Ambartzumian, "Biophotonics of molecular oxygen: activation efficiencies upon direct and photosensitized excitation," Chin. Opt. Lett. 3, S1-S4 (2005) http://col.osa.org/abstract.cfm?URI=col-3-101-S1 Chemical Physics Letters Volume 400, Issues 4–6, 21 December 2004, A. A. Krasnovsky Jr. R. V. Ambartzumian Pages 531-535 https://doi.org/10.1016/j.cplett.2004.11.009

Ambartzumian, R. V. (2013) Sevan methodologies revisited: Random line processes. Հայաստանի ԳԱԱ Տեղեկագիր. Մաթեմատիկա, 48 (1). pp. 9–36. ISSN http://mathematics.asj-oa.am/id/eprint/2333