Jakow Grigoryevich Sinai

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Jakow Sinai (1976)
Yakov Sinai

Jakow Grigorjewitsch Sinai (English Yakov Sinai, Russian Яков Григорьевич Синай ; born September 21, 1935 in Moscow ) is a Russian mathematician and theoretical physicist who is one of the founders of the stochastic theory of dynamic systems.

Life

Sinai comes from a family of scientists, his grandfather Weniamin Fyodorowitsch Kagan was a well-known geometer and his parents were active in medical-biological research. In 1957 he graduated from Lomonosov University , and in 1960 Sinai received his doctorate from Andrei Kolmogorow at Lomonosov University in Moscow, where he also made his "Russian doctor" in 1963 (it corresponds to a habilitation in the West ). Then he was a scientist at Lomonosov University in the Laboratory for Probability Theory and Statistics . In 1971 he became a professor at Lomonosov University. In 1993 he went to Princeton University as a professor . However, he is still (2002) at the Laboratory for Probability Theory and Statistics of the Landau Institute for Theoretical Physics , where he has been working as a senior scientist since 1971.

Sinai has been a member of the US National Academy of Sciences since 1999 , the American Academy of Arts and Sciences since 1983 , the Russian Academy of Sciences since 1991 and a foreign member of the Academia Europaea (2008), the Polish (2009), the Hungarian (1993 ) of the Brazilian (2000) and Norwegian Academy of Sciences and since 2009 of the Royal Society . He is an honorary member of the London Mathematical Society and a Fellow of the American Mathematical Society . In 1986 he received the Boltzmann Medal , 1989 the Dannie Heineman Prize for Mathematical Physics , the Markov Prize in 1990, the Dirac Medal of the ICTP in 1992 , the Wolf Prize in 1997 , the Nemmers Prize for Mathematics in 2002 and the Henri in 2009 -Poincaré price . In 1990 he gave a plenary lecture at the ICM in Kyōto (Hyperbolic Billiards), in 1978 he was invited speaker at the ICM in Helsinki ( Scaling in the theory of phase transitions ) and in 1970 in Nice ( Invariant measures for Anosov's dynamical systems ). In 2013 he received the Leroy P. Steele Prize and in 2014 the Abel Prize . For 2015 he was awarded the Marcel Grossmann Award . He holds honorary doctorates from the University of Warsaw , the University of Warwick and the Hebrew University of Jerusalem .

Sinai worked as a student of Kolmogorov at the intersection of probability theory and the theory of dynamic systems and is the founder of an influential school of both mathematicians and physicists in this area. His investigations into the ergodicity of "billiard" systems are well known. The Kolmogorow-Sinai entropy (also called metric or mass-theoretical entropy or Kolmogorov entropy) is named after him and his teacher (developed 1958/59). Sinai also examined the properties of the spectrum of quasi-periodic Schrödinger operators and the mathematical theory of phase transitions .

His doctoral students include Pavel Bleher , Leonid Bunimowitsch , Leonid Polterovich , Corinna Ulcigrai , Anatole Katok , Marina Ratner , Grigori Alexandrowitsch Margulis , Svetlana Jitomirskaya and Konstantin Chanin .

Jakow Sinai is married to the mathematician and physicist Elena B. Wul. You have a son.

Fonts

  • Topics in Ergodic Theory . Princeton 1977, 1994
  • Probability theory - an introductory course . Springer, 1992
  • with Koralov: Theory of probability and random processes . 2nd edition, Springer, 2007
  • Theory of phase transition rigorous results . Pergamon, Oxford 1982
  • with Issaak Pawlowitsch Kornfeld (Cornfeld), Sergei Wassiljewitsch Fomin : Ergodic theory . Springer, Basic Teachings of Mathematical Sciences 1982
  • Mathematicians and physicists = Cats and Dogs? In: Bulletin AMS. 2006, issue 4, PDF file
  • How mathematicians and physicists found each other in the theory of dynamical systems and in statistical mechanics , in Bolibruch, Osipov, Sinai (editor) Mathematical Events of the Twentieth Century , Springer 2006, p. 399

Web links

Commons : Yakov Grigorevich Sinai  - collection of pictures, videos and audio files

Individual evidence

  1. ^ Membership directory: Yakov Sinai. Academia Europaea, accessed on October 3, 2017 (English, with biographical and other information).
  2. ^ Sinai: Dynamical systems with elastic reflections. In: Russian Mathematical Surveys. Volume 25, 1970, pp. 137-191. Billiards with convex obstacles. Generic orbits diverge exponentially.
personal data
SURNAME Sinai, Jakow Grigoryevich
ALTERNATIVE NAMES Sinai, Yakov (English); Синай, Яков Григорьевич (Russian)
BRIEF DESCRIPTION Russian mathematician and theoretical physicist
DATE OF BIRTH September 21, 1935
PLACE OF BIRTH Moscow