Yuri Linnik

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Yuri Linnik
Yuri Linnik (photo).jpg
Born
Yuri Vladimirovich Linnik

(1915-01-08)January 8, 1915
DiedJune 30, 1972(1972-06-30) (aged 57)
NationalityRussian
Alma mater Saint Petersburg University
Steklov Institute
Scientific career
FieldsMathematics
InstitutionsSaint Petersburg University

Yuri Vladimirovich Linnik (Russian : Ю́рий Влади́мирович Ли́нник; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.

Contents

Biography

Linnik was born in Bila Tserkva, in present-day Ukraine. He went to Saint Petersburg University where his supervisor was Vladimir Tartakovsky, and later worked at that university and the Steklov Institute. He was a member of the Academy of Sciences of the Soviet Union, as was his father, Vladimir Pavlovich Linnik. He was awarded both Stalin and Lenin Prizes. He died in Leningrad. [1]

Work in number theory

Work in probability theory and statistics

Infinitely divisible distributions

Linnik obtained numerous results concerning infinitely divisible distributions. [4] In particular, he proved the following generalisation of Cramér's theorem: any divisor of a convolution of Gaussian and Poisson random variables is also a convolution of Gaussian and Poisson.

He has also coauthored the book Linnik & Ostrovskii (1977) on the arithmetics of infinitely divisible distributions.

Central limit theorem

Statistics

Selected publications

Notes

  1. Faddeyev, D. K.; Lozinsky, S. M.; Malyshev, A. V. (1975), "Yuri V. Linnik (19151972): a biographical note", Acta Arith., 27: 1–2, doi: 10.4064/aa-27-1-1-2 , MR   0421941.
  2. Bredikhin, B.M. (2001) [1994], "Density method", Encyclopedia of Mathematics , EMS Press
  3. Michel, Ph.; Venkatesh, A. (2006), "Equidistribution, L-functions and ergodic theory: on some problems of Yu. V. Linnik", Proceedings of ICM 2006, vol. 2, Zurich: Eur. Math. Soc., pp. 421–457
  4. Ibragimov, I. A. (1992), "Yu. V. Linnik. Some of his work from the 1950s", St. Petersburg Math. J., 3 (3): 687–696, MR   1150561.

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