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Yakov Sinai received his Ph.D. from [[Moscow State University]] in 1960; his advisor was [[Kolmogorov|Andrey Kolmogorov]]. In 1971 he became a Professor at [[Moscow State University]] and a senior researcher at the [[Landau Institute of Theoretical Physics]]. Since 1993 he has been a Professor of Mathematics at [[Princeton University]].
Yakov Sinai received his Ph.D. from [[Moscow State University]] in 1960; his advisor was [[Kolmogorov|Andrey Kolmogorov]]. In 1971 he became a Professor at [[Moscow State University]] and a senior researcher at the [[Landau Institute of Theoretical Physics]]. Since 1993 he has been a Professor of Mathematics at [[Princeton University]].


Sinai is a member of the [[United States National Academy of Sciences]], [[Russian Academy of Sciences]] and others. Among his awards are the [[Boltzmann Medal]] (1986), [[Dannie Heineman Prize for Mathematical Physics]] (1990), [[Dirac Prize|Dirac Medal]] (1992), the [[Wolf Prize in Mathematics]] (1997), [[Nemmers Prize in Mathematics|Nemmers Prize]] (2002), the [[Henri Poincaré Prize]] (2009), and the [[Abel Prize]] (2014). Sinai has worked, among other topics, on [[Measure-preserving dynamical system|Kolmogorov–Sinai entropy]], [[Dynamical billiards|Sinai Billiards]], [[Sinai's random walk]], [[Sinai–Ruelle–Bowen measures]], [[Pirogov–Sinai theory]].
Sinai is a member of the [[United States National Academy of Sciences]], [[Russian Academy of Sciences]] and others. Among his awards are the [[Boltzmann Medal]] (1986), [[Dannie Heineman Prize for Mathematical Physics]] (1990), [[Dirac Prize|Dirac Medal]] (1992), the [[Wolf Prize in Mathematics]] (1997), [[Nemmers Prize in Mathematics|Nemmers Prize]] (2002),<ref>[http://www.ams.org/notices/200207/index.html Nemmers Prize for Sinai, Notices AMS 2002, pdf-file]</ref> the [[Henri Poincaré Prize]] (2009), and the [[Abel Prize]] (2014). Sinai has worked, among other topics, on [[Measure-preserving dynamical system|Kolmogorov–Sinai entropy]], [[Dynamical billiards|Sinai Billiards]], [[Sinai's random walk]], [[Sinai–Ruelle–Bowen measures]], [[Pirogov–Sinai theory]].


Sinai is highly respected in the physics and mathematics communities, where the [[Measure-preserving dynamical system|Kolmogorov-Sinai entropy]], [[Dynamical billiards|Sinai's billiards]], [[Sinai's random walk]], [[Sinai-Ruelle-Bowen measures]], [[Pirogov-Sinai theory]], as well as his other achievements are considered principal notions that shaped the understanding of many fundamental physical phenomena.
Sinai is highly respected in the physics and mathematics communities, where the [[Measure-preserving dynamical system|Kolmogorov-Sinai entropy]], [[Dynamical billiards|Sinai's billiards]], [[Sinai's random walk]], [[Sinai-Ruelle-Bowen measures]], [[Pirogov-Sinai theory]], as well as his other achievements are considered principal notions that shaped the understanding of many fundamental physical phenomena.


In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-20.</ref>
In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-20.</ref>

==Selected works==
* ''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 Isaak Pavlovich Kornfeld (Cornfeld), [[Sergei Fomin]]: ''Ergodic theory''. Springer, Grundlehren der mathematischen Wissenschaften 1982
* [http://www.ams.org/bull/2006-43-04/S0273-0979-06-01127-X/S0273-0979-06-01127-X.pdf ''Mathematicians and physicists = Cats and Dogs?''] In: ''Bulletin AMS.'' 2006, vol. 4, pdf-file
*''How mathematicians and physicists found each other in the theory of dynamical systems and in statistical mechanics'', in Bolibruch, Osipov, Sinai (eds.) ''Mathematical Events of the Twentieth Century'', Springer 2006, p. 399


== References ==
== References ==
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*[http://www.worldscibooks.com/contact/ysinai.shtml Another biography]
*[http://www.worldscibooks.com/contact/ysinai.shtml Another biography]
*[http://www.scholarpedia.org/article/User:Sinai Sinai] on scholarpedia
*[http://www.scholarpedia.org/article/User:Sinai Sinai] on scholarpedia
* [http://www.ams.org/notices/200404/index.html Sinai „What is a Billard?“, Notices AMS 2004, pdf-file]
* [http://www.scholarpedia.org/article/Kolmogorov-Sinai_entropy Kolmogorov-Sinai Entropy] on scholarpedia
* {{MacTutor Biography|id=Sinai}}
* {{MacTutor Biography|id=Sinai}}
* {{MathGenealogy|id=10481}}
* {{MathGenealogy|id=10481}}

Revision as of 15:05, 28 March 2014

Yakov G. Sinai
Yakov G. Sinai
Born (1935-09-21) September 21, 1935 (age 89)
Moscow, Russian SFSR, Soviet Union
NationalityRussian / American
Alma materMoscow State University
Known forworks on dynamical systems, mathematical and statistical physics, probability theory, mathematical fluid dynamics
AwardsBoltzmann Medal (1986)
Dannie Heineman Prize (1990)
Dirac Prize (1992)
Wolf Prize (1997)
Nemmers Prize (2002)
Henri Poincaré Prize (2009)
Abel Prize (2014)
Scientific career
FieldsMathematician
InstitutionsMoscow State University, Princeton University
Doctoral advisorAndrey Kolmogorov
Doctoral studentsLeonid Bunimovich
Grigory Margulis
Leonid Polterovich
Marina Ratner

Yakov Grigorevich Sinai (Russian: Я́ков Григо́рьевич Сина́й; born September 21, 1935) is an influential mathematician working in the theory of dynamical systems, in mathematical physics and in probability theory. His work has shaped the modern metric theory of dynamical systems (also often called after Kolmogorov the theory of stochasticity of dynamical systems). Sinai has created bridges connecting the world of deterministic (dynamical) systems with the world of probabilistic (stochastic) systems.

Sinai was awarded the 2014 Abel Prize "for his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics".[1]

Biography

Sinai was born in Moscow, Soviet Union (now Russia) into a family that played a prominent role in Russia's scientific and cultural life since the 19th century. His grandfather Veniamin Kagan was a Russian geometer, and Sinai's parents were prominent researchers in the medical and biological sciences.

Yakov Sinai received his Ph.D. from Moscow State University in 1960; his advisor was Andrey Kolmogorov. In 1971 he became a Professor at Moscow State University and a senior researcher at the Landau Institute of Theoretical Physics. Since 1993 he has been a Professor of Mathematics at Princeton University.

Sinai is a member of the United States National Academy of Sciences, Russian Academy of Sciences and others. Among his awards are the Boltzmann Medal (1986), Dannie Heineman Prize for Mathematical Physics (1990), Dirac Medal (1992), the Wolf Prize in Mathematics (1997), Nemmers Prize (2002),[2] the Henri Poincaré Prize (2009), and the Abel Prize (2014). Sinai has worked, among other topics, on Kolmogorov–Sinai entropy, Sinai Billiards, Sinai's random walk, Sinai–Ruelle–Bowen measures, Pirogov–Sinai theory.

Sinai is highly respected in the physics and mathematics communities, where the Kolmogorov-Sinai entropy, Sinai's billiards, Sinai's random walk, Sinai-Ruelle-Bowen measures, Pirogov-Sinai theory, as well as his other achievements are considered principal notions that shaped the understanding of many fundamental physical phenomena.

In 2012 he became a fellow of the American Mathematical Society.[3]

Selected works

  • 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 Isaak Pavlovich Kornfeld (Cornfeld), Sergei Fomin: Ergodic theory. Springer, Grundlehren der mathematischen Wissenschaften 1982
  • Mathematicians and physicists = Cats and Dogs? In: Bulletin AMS. 2006, vol. 4, pdf-file
  • How mathematicians and physicists found each other in the theory of dynamical systems and in statistical mechanics, in Bolibruch, Osipov, Sinai (eds.) Mathematical Events of the Twentieth Century, Springer 2006, p. 399

References

  1. ^ "The Abel Prize Laureate 2014". The Norwegian Academy of Science and Letters. Retrieved 26 March 2014. {{cite web}}: Cite has empty unknown parameter: |1= (help)
  2. ^ Nemmers Prize for Sinai, Notices AMS 2002, pdf-file
  3. ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-20.
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