Nationality Armenia | Name Rouben Ambartzumian | |

Born October 28, 1941 (1941-10-28) Fields Integral Geometry, Stochastic Geometry, Education Mathematician, Academician NAS RA |

**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 Republic 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. 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 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". Victor Hambardzumyan, in his book "A Life in Astrophysics", 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.

## Contents

- Experience
- Education scientific degrees
- Books
- Collections of papers Editor
- Organizer of International Conferences
- Recent research papers
- Research papers
- Research in History
- References

## Experience

## Education, scientific degrees

## Books

*, John Wiley, Chichester, NY*

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 "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".

*, Encyclopedia of Mathematics and Its Applications 33, Cambridge University Press, Cambridge*

## 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

## Recent research papers

The latest research of Rouben V. Ambartzumian has proved that his solution to Hilbert's fourth problem given in 1976 works for dimension 3 as well. See paper R. V. Ambartzumian, ’Remarks on Combinatorics of Planes in Euclidean Three Dimensions’, SOP Transactions on Applied Mathematics

## Research papers

This paper is considered by many as giving an independent solution of Hilbert’s Fourth Problem.

## Research in History

Recently Rouben V. Ambartzumian has made a personal contribution in the commemoration of the 100 Years of the Armenian Genocide by releasing a booklet named "Wilsonain Armenia: stories behind the failed project".

The term “Wilsonian Armenia” refers to the US president who launched the idea of independent Armenian State in Western Armenia, on the territory of former Ottoman Empire. Put forward at the 1919 Paris Peace Conference, the idea magnetized the leaders of victorious Entente nations. At Sevres Conference of 1920 a mirage of Wilsonian Armenia was born (Sevres Treaty), only to be totally dispelled within several months. Was the absence of the USA signature under Sevres Treaty the cause for this outcome? Trying to resolve this paradox, the book scrutinizes certain political forces both within and outside America. The time range covered is from the Goeben-Breslau masquerade of 1914 (i.e. the entrance of German warships into Black Sea) to Lausanne Conference 1922 that buried the Wilsonian idea officially. Essentially, the booklet is a journalist reportage from the pages of publications mainly from the historical epoch in question. Some passages probably contribute to the genre of historical detection.