Rouben V. Ambartzumian
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Rouben V. Ambartzumian | |
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| Born | October 28, 1941 |
| Nationality | Armenia |
| Education | Mathematician, Academician NAS RA |
| Scientific career | |
| Fields | Integral Geometry, Stochastic Geometry, |
Rouben V. Ambartzumian (Russian: Рубен В. Амбарцумян) is a Armenian mathematician and Academician of National Academy of Sciences of Republic of Armenia . He became famous for his work in Stochastic Geometry and Integral Geometry where he created a new branch Combinatorial Integral Geometry. 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 the Hilbert's fourth problem in 1976[1]. The interest to Integral Geometry Rouben V. Ambartzumian author of a number of books and multiple research publications in that field inherited from his father (world famous scientist Victor Hambardzumyan) who's contribution to that field was described by nobel prize winner Allan McLeod Cormack Laureate for Tomography who 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" [2]). Victor Hambardzumyan sad the following 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). The resource of invariance principle seems to be immense indeed!".
Experience
- 1968 – present, Head of department, Institute of Mathematics, National Academy of Sciences of Republic 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, sci. 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
- 1982 – R.V. Ambartzumian ``Combinatorial Integral Geometry with Applications to Mathematical Stereology’’, John Wiley, Chichester, NY
The book was positively reviewed in many journals. We quote from the review:
Ralph Alexander, Bulletin (New Series) of the American Math. Society , Volume 10, Number 2, 1984.[3]
"Ambartzumian established a base camp in a little explored area of geometry. From here a number of interesting problems can be seen from a new perspective. With luck a boom town could arise. At the very least this work is a significant contribution to the foundations of integral geometry".
- 1989 – R.V. Ambartzumian, D.Stoyan, J.Mecke “Introduction to Stochastic Geometry”, Nauka, Moscow (in Russian)
- 1990 – R.V. Ambartzumian “Factorization Calculus and Geomertic Probability’’, Cambridge University Press, Cambridge[4]
- 1989 – R.V. Ambartzumian, J.Mecke, D.Stoyan “Geometrische Wahrscheinlichkeiten und Stochastische Geometrie” Akademie Verlag, Berlin
Collections of papers, Editor
- “Combinatorial Principles in Stochastic Geometry” (in Russian) NASRA Publ.House, Yerevan 1980
- “Stochastic Geometry, Geometric Statistics, Stereology” (Proceedings of the Conference held at Oberwolfach, 1983). Teubner - Texte zur Mathematic, Band 65, Leipzig 198
- “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, Geometic Statistics and Stereology, Oberwolfach (Germany)[5]
- 1985 – II Sevan Symposium on Integral and Stochastic Geometry, Sevan, Armenia
- 1991- Conference on Stochastic Geometry, Oberwolfach (Germany)
- 2013 Swiss –Armenian Round Table[6]
Last Research papers
- R.V.Ambartzumian "Sevan Methodologies revisited: Random line processes", Journal of Contemporary Mathematical Analysis , Volume 48, 2013, Issue 1, pp. 4-22[7]
- R.V.Ambartzumian "Parallel X-ray Tomography of Convex Domains as a Search Problem in Two Dimensions", Journal of Contemporary Mathematical Analysis , Volume 48, 2013, Issue 1, pp. 23-34
- R. V. Ambartzumian, ’Remarks on Combinatorics of Planes in Euclidean Three Dimensions’, SOP Transactions on Applied Mathematics,
pp.29-43, 2014-07-30[8]
The Most Famous Research papers
- R.V. Ambartzumian, A note on pseudometrics on the plane. Z. Wahrsch. verw. Geb. , 37, 145-155 (1976).
This paper is considered by many as giving an independent solution of Hilbert’s Fourth Problem, see for instance J.C. Alvarez Paiva, Hilbert’s Fourth Problem in Two Dimensions Mass Selecta: Teaching and Learning Advanced Undergraduate Mathematics. S. Katok, A. Sossinsky, and S. Tabachnikov (eds.), Amer. Math. Soc., Rhode Island, 2003, 165--183.
References
- ^ 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
- ^ Computed Tomography, Some History and Recent Developments, Proc. of Symposia in Applied Mathematics, Vol. 29, p. 35, 1985
- ^ Alexander, Ralph. Review: R. V. Ambartzumian, Combinatorial integral geometry with applications to mathematical stereology . Bull. Amer. Math. Soc. (N.S.) 10 (1984), no. 2, 318--321. http://projecteuclid.org/euclid.bams/1183551587
- ^ "Factorization Calculus and Geometric Probability". Cambridge University Press.
- ^ http://www.mfo.de/occasion/8305/www_view
- ^ http://www.ecolur.org/en/news/water/snow-storage-v-perspective-for-armenia/5033/
- ^ "Sevan methodologies revisited: Random line processes". springer.com.
- ^ R. V. Ambartzumian, Remarks on Combinatorics of Planes in Euclidean Three Dimensions, SOP Transactions on Applied Mathematics, Volume 1, Number 2, pp.29-43, 2014.
Category:Mathematics Category:Integral geometry Category:Stochastic geometry Category:Armenia Category:Famous Armenian scientists Category:National Armenian academy of Sciences of Republic of Armenia Category:Science in Armenia
- ^ "Academician R. V. Ambartzumian". springer.com.
- ^ "Publications of Rouben V. Ambartzumian in J CONTEMP MATH ANAL-ARMEN ACA - Journal of Contemporary Mathematical Analysis-armenian Academy of Sciences". msra.cn.
- ^ Ambartzumian, R. V. (2007). Chord calculus and stochastic geometry. Journal of Contemporary Mathematical Analysis, 42(1), 3-27
- ^ Ambartzumian, R. V., Wicksell problem for planar particles of random shape http://www.math.uni-magdeburg.de/stoch2002/abstracts/s6-ambartzumian.pdf