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Rouben V. Ambartzumian

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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 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]

Rouben V. Ambartzumian
Born (1941-10-28) October 28, 1941 (age 83)
NationalityArmenia
EducationMathematician, Academician NAS RA
FatherViktor Ambartsumian
Scientific career
FieldsIntegral Geometry, Stochastic Geometry

Experience

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Education, scientific degrees

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Books authored

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  • Ambartzumian, R.V. (1982). Combinatorial Integral Geometry with Applications to Mathematical Stereology. Somerset, New Jersey: Wiley. ISBN 978-0471279778. (Review[6])
  • Ambartzumian, R.V.; Stoyan, D.; Mecke, J. (1989). Introduction to Stochastic Geometry (in Russian). Moscow: Nauka.
  • Ambartzumian, R.V.; Stoyan, D.; Mecke, J. (1989). Geometrische Wahrscheinlichkeiten und Stochastische Geometrie. Berlin: Akademie Verlag. ISBN 978-3055014499.
  • Ambartzumian, R.V. (1990). Factorization Calculus and Geometric Probability. Encyclopedia of Mathematics and Its Applications. Vol. 33. Cambridge University Press. ISBN 978-0521089784.
  • Ambartzumian, R.V. (2015). Wilsonian Armenia: stories behind the failed project. Lambert Academic Publishing. ISBN 978-3659753008.

Collections of papers, Editor

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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

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  • 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)[7]
  • 1985 – II Sevan Symposium on Integral and Stochastic Geometry, Sevan, Armenia
  • 1991- Conference on Stochastic Geometry, Oberwolfach (Germany)
  • 2013- Swiss –Armenian Round Table[8]

References

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  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. ^ Alexander, Ralph (1984). "Book Review: Combinatorial integral geometry with applications to mathematical stereology" (PDF). Bulletin of the American Mathematical Society. 10 (2): 318–321.
  7. ^ "Schedule — MFO". mfo.de.
  8. ^ "Snow Storage – Perspective for Armenia?". ecolur.org.
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