Yakov Sinai
Yakov Grigoryevich 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 dynamical systems.
Life
Sinai comes from a family of scientists, his grandfather Veniamin Fedorovich Kagan was a noted surveyor and his parents were in the medico-biological research. He studied at the Moscow Pedagogical Institute. In 1957 he received his degree in 1960 and his doctorate at Sinai Andrei Kolmogorov at the Lomonosov University in Moscow, where he also made his " Russian Doctor " 1963 ( it corresponds to the west of a habilitation ). After that, he was a scientist at the Moscow State University in the laboratory for probability theory and statistics. In 1971 he became a professor at Moscow State University. In 1993 he was a professor at Princeton University. But he is still (2002) at the Laboratory of probability theory and statistics of the Landau Institute for Theoretical Physics, where he works as a senior scientist since 1971.
Sinai is a member of the National Academy of Sciences of the United States, the American Academy of Arts and Sciences, the Hungarian and the Russian Academy of Sciences since 1999. 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, the 1989 Dannie Heineman Prize for Mathematical Physics, 1990 Markov Prize, 1992, the Dirac Medal of the ICTP, the 1997 Wolf Prize, 2002 Nemmers Prize for mathematics and 2009 the Henri Poincaré prize. In 1990 he gave a plenary lecture at the ICM in Kyoto ( Hyperbolic billiards ), 1978 he was Invited Speaker on the ICM in Helsinki (scaling in the theory of phase transitions ) and in 1970 in Nice ( Invariant measures for Anosov 's dynamical systems ). For 2013, the Leroy P. Steele Prize of the permits granted. In 2014 he was awarded the Abel Prize.
Sinai worked as a student in the Kolmogorov -sectional area of probability theory and the theory of dynamical systems and in this area is the founder of an influential school of both mathematicians and physicists. Known are his investigations of the ergodicity of " billiards " systems. According to him and his teacher, the Kolmogorov -Sinai entropy (also metric and measure-theoretical entropy or Kolmogorov- called entropy ) named (developed 1958/59 ). Sinai also examined the spectral properties of quasi-periodic Schrödinger operators and the mathematical theory of phase transitions.
His doctoral include Pavel Bleher, Leonid Bunimowitsch, Marina Ratner, Grigori Aleksandrovich Margulis and Svetlana Jitomirskaya.
Yakov Sinai is married to the mathematician and physicist Elena B. Wul. They have a son.
Writings
- 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 transitions - rigorous results. Pergamon, Oxford, 1982
- With Isaac Pavlovich Kornfeld ( Cornfeld ), Sergei Vasilyevich Fomin: Ergodic theory. Springer, basic teachings of the mathematical sciences in 1982
- Mathematicians and physicists = Cats and Dogs? In: Bulletin of the AMS. 2006, volume 4, pdf file
- How mathematicians and physicists found eachother in the theory of dynamical systems and in statistical mechanics, in Bolibruch, Osipov, Sinai (Editor) Mathematical Events of the Twentieth Century, Springer 2006, pp. 399