Ruben Ambarzumjan

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Rouben V. Ambartzumian

Ruben W. Ambarzumjan ( Russian Рубен Викторович Амбарцумя , English Rouben V. Ambartzumian , Armenian Ռուբեն Համբարձումյան Ruben Hambardsumjan ; born October 28, 1941 in Jelabuga ) is a Soviet-Armenian mathematician.

Ambarzumjan is the son of the astrophysicist Viktor Hambarzumjan and grew up in Yerevan , where he lived most of the time. He studied mathematics from 1959 at Lomonossow University with a diploma in 1962, received his doctorate at the Steklow Institute in 1968 (with Yuri Wassiljewitsch Prokhorov ) and habilitated there in 1975 (Russian doctorate). From 1968 he was head of department in the Institute of Mathematics of the Armenian Academy of Sciences, where he has been since 1962.

In 1992 he was visiting scholar at Temple University for half a year .

Ambarzumjan deals with stochastic geometry and integral geometry and founded the direction of combinatorial integral geometry in the 1970s, about which he wrote a book in 1982. He also deals with the numerical solution of the Radon transform, which is important in computer tomography .

The basis of his combinatorial integral geometry are Buffon sets in the space of hyperplanes (in the case of lines in Euclidean space they correspond to needle sets from Buffon's needle problem ), set rings from these Buffon sets and their combinatorial evaluations. His combinatorial integral geometry received international recognition at the conference 200 years of Buffon problem of the needle in Sevan (Armenia) 1976 (in collaboration with the Royal Society and the Academie des Sciences).

In this context he made important contributions to Hilbert's 4th problem of characterizing geometries with straight lines as geodesics. In this case, the combinatorial evaluations of its integral geometry can be converted into dimensions in the usual sense.

In the 2000s, he headed a project to artificially extend the melting phase of ice in high altitudes by a few weeks and create snow depots in order to optimize the water supply for agriculture in summer (Freezwater Project).

1992 to 2009 he was editor of the mathematics section of the treatises of the Armenian Academy of Sciences (and its English edition Journal of Contemporary Mathematical Analysis).

He was invited speaker at the International Congress of Mathematicians in Vancouver 1974 (Solution of the Buffon-Sylvester problem and stereology). In 1982 he received the Rollo Davidson Prize . He has been a member of the Armenian Academy of Sciences since 1986.

Fonts

  • The solution of the Buffon-Sylvester problem in . In: Journal of Probability Theory and Related Areas. Volume 27, No. 1, 1973, pp. 53-74, doi : 10.1007 / BF00736008 .
  • Combinatorial solution of the Buffon Sylvester problem. In: Journal of Probability Theory and Related Areas. Volume 29, No. 1, 1974, pp. 25-31, doi : 10.1007 / BF00533183 .
  • A note on pseudo-metrics on the plane. In: Journal of Probability Theory and Related Areas. Volume 37, No. 1, 1976, pp. 145-155, doi : 10.1007 / BF00536777 .
  • Combinatorial integral geometry. With applications to mathematical stereology. John Wiley & Sons, Chichester et al. 1982, ISBN 0-471-27977-3 .
  • as editor with Wolfgang Weil: Stochastic geometry, geometric statistics, stereology. Proceedings of a conference held at Oberwolfach, 1983 (= Teubner Texts on Mathematics. 65, ISSN  0138-502X ). Teubner, Stuttgart et al. 1984.
  • Factorization Calculus and Geometric Probability (= Encyclopedia of Mathematics and Its Applications. 33). Cambridge University Press, Cambridge et al. 1990, ISBN 0-521-34535-9 .
  • with Joseph Mecke, Dietrich Stoyan : Geometric Probabilities and Stochastic Geometry. Akademie Verlag, Berlin 1993, ISBN 3-05-501449-9 .
  • with Victor K. Ohanyan: Parametric versions of Hilbert's fourth problem. In: Israel Journal of Mathematics. Volume 103, 1998, pp. 41-65, doi : 10.1007 / BF02762267 .

literature

Individual evidence

  1. ^ A note on pseudo-metrics on the plane. In: Journal of Probability Theory and Related Areas. Volume 37, No. 1, 1976, pp. 145-155.
  2. ↑ Freezwater Project
personal data
SURNAME Ambarzumjan, Ruben
ALTERNATIVE NAMES Ambarzumjan, Ruben W .; Ambartzumian, Rouben V .; Амбарцумя, Рубен В. (Russian)
BRIEF DESCRIPTION Soviet-Armenian mathematician
DATE OF BIRTH October 28, 1941
PLACE OF BIRTH Yelabuga