Rouben V. Ambartzumian
Born (1941-10-28) October 28, 1941
NationalityArmenia
EducationMathematician, Academician NAS RA
Scientific career
FieldsIntegral Geometry, Stochastic Geometry,

Rouben V. Ambartzumian (Armenian: Ռուբեն Վ․ Համբարձումյան;Russian: Рубен В. Амбарцумян) (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 the Hilbert's fourth problem in 1976.[1] He is a holder of the Rollo Davidson Prize of Cambridge University of 1982.[2] Rouben's interest in Integral Geometry was inherited from his father. Nobel prize winner Allan McLeod Cormack Laureate for Tomography 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".[3] Victor Hambardzumyan, in his book "A Life in Astrophysics",[4] 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.[5]

Experience

Education, scientific degrees

Books

  • 1982 – R.V. Ambartzumian "Combinatorial Integral Geometry with Applications to Mathematical Stereology, John Wiley, Chichester, NY[6]

The book was positively reviewed in many journals. In particular Ralph Alexander wrote in the Bulletin (New Series) of the American Math Society the following[7] "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 Geometric Probability, Encyclopedia of Mathematics and Its Applications 33, Cambridge University Press, Cambridge[8]
  • 1989 – R.V. Ambartzumian, J.Mecke, D.Stoyan “Geometrische Wahrscheinlichkeiten und Stochastische Geometrie” Akademie Verlag, Berlin[9]
  • 2015 – R.V. Ambartzumian “WILSONIAN ARMENIA: stories behind the failed project”

Collections of papers, Editor

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.

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)[10]
  • 1985 – II Sevan Symposium on Integral and Stochastic Geometry, Sevan, Armenia
  • 1991- Conference on Stochastic Geometry, Oberwolfach (Germany)
  • 2013- Swiss –Armenian Round Table[11]

References

  1. ↑ 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
  2. ↑ "Prize Winners 1976-2014". cam.ac.uk.
  3. ↑ Computed Tomography, Some History and Recent Developments, Proc. of Symposia in Applied Mathematics, Vol. 29, p. 35, 1985
  4. ↑ V. A. Ambartsumian, A Life in Astrophysics : Selected Papers of Viktor Ambartsumian, New York: Allerton Press, 1998, ISBN 0-89864-082-2
  5. ↑ "» Epilogue — Ambartsumian' s paper Viktor Ambartsumian".
  6. ↑ "Combinatorial Integral Geometry With Applications to Mathematical Stereology". abebooks.co.uk. February 12, 1982.
  7. ↑ 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
  8. ↑ "Factorization Calculus and Geometric Probability". Cambridge University Press.
  9. ↑ bücher.de IT and Production. "Ruben V. Ambartzumjan, Joseph Mecke, Dietrich Stoyan, sowie Werner Nagel ( Hrsg)". buecher.de.
  10. ↑ "Schedule — MFO". mfo.de.
  11. ↑ "Snow Storage – Perspective for Armenia?". ecolur.org.
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