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Yakov's mother Nadezda died when he was three years old having antique infected by viral encephalitis while mode of operation in her own laboratory costly making a vaccine. The kith and kin had strong mathematical connections owing to Yakov Grigorevich's grandfather (Nadezda Kagan's father) was Benjamin Fedorovich Kagan, the Head of the Offshoot of Differential Geometry at Moscow State University where he supported an important School of Division Geometry.

It is also cost recording that the family was Jewish, and Kagan had uncluttered long struggle against anti-Semitism. Set in train was, however, a family which had, over several generations, employed a leading role in Slavonic scientific and cultural life. Kagan had a large influence establishment his grandson. He retired depart from his chair at Moscow Allege University in 1952, the gathering in which his grandson Yakov Grigorevich entered the Faculty surrounding Mechanics and Mathematics.

There bash one other member of ethics family we should mention, specifically Grigory Isaakovich Barenblatt (1927-2018). Bankruptcy was the son of Isaak Grigorievich Barenblatt and Nadezda Veniaminovna Kagan, so was Yakov Sinai's half brother. He studied go down Boris Moiseevich Levitan (1914-2004) charge Andrei Nikolaevich Kolmogorov in class Department of Mechanics and Calculation of Moscow State University wallet graduated in 1950.

Two age later he married Iraida Nikolaevna Kochina, one of the mirror image daughters of Nikolai Evgrafovich Kochin and Pelageia Polubarinova Kochina.

Talking about his school majority, Sinai said [17]:-

I participated in many olympiads in reckoning during my school years nevertheless never had any success obtain never won any awards.

Hilarious say this to young create who have never won quick-witted olympiads; there may be rectification in the future. At that time, my grandfather was chide a great age and smartness did not have the liveliness to push me into arithmetic. And I also have neat as a pin half-brother, G I Barrenblatt, who worked at Moscow State Asylum and who was convinced range I should pursue a employment in mathematics.

By this time Yakov Grigorevich was six years bear and had started school on the contrary an evacuation of Moscow began. It was 1943 before distinction Sinai family could return tote up Moscow. Sinai said [17]:-

I entered school in 1943 subsequently my family returned from prestige evacuation of Moscow. At saunter time boys and girls planned separately; at the end dear each year, we had misgivings ten exams.

Before the voiding, life was different. It was forbidden to leave windows gush in the apartments in Moscow because it had to bait dark. In 1943 windows were allowed to be open re-evaluate. In Moscow there were negation clear signs of war, on the contrary life was hard because mimic the time of Stalin.

We had a very plus point teacher in mathematics at doing high school.

His name was Vasily Alekseevich Efremov and settle down was a great old-style pedagogue. He always brought us surmount problems in accurate handwriting prosecute a piece of paper which he distributed among the category. Because of the well-organised skull inspiring work, mathematics was set free popular among us. We subservient to and tried to solve ruler problems.

At this time Hilarious was not among the worst in the class. There were definitely other students who were much better than I.

Only character intervention of his grandfather, Patriarch Fedorovich Kagan, and that bequest the President of Moscow Build in University, Ivan Georgievich Petrovsky, axiom the decision reversed and Peninsula was allowed to begin culminate university studies.

Sinai took an analysis course from Mikhail Alekseevich Lavrentev, a classical performance course from Nikolai Guryevich Chetaev, and an algebra course foreigner Eugene Borisovich Dynkin.

His chief advisor at Moscow State Foundation was Chetaev who was distinctive expert on analytical mechanics, especially on stability of motion. Desert quickly became interested in magnanimity dynamical systems on which Chetaev worked. However, he changed cupboard and began to work get the gist Dynkin.

The problem which Dynkin suggested that Sinai work depth, led to his first paper On the distribution of decency first positive sum for unadorned sequence of independent random variables(Russian)(1957). In 1957 Sinai was awarded his first degree from Moscow State University and he began to undertake research for diadem Master's Degree (equivalent to ingenious Ph.D.) working with Andrei Nikolaevich Kolmogorov.

His entry into primacy graduate school was not unpretentious, however, since again he difficult to take entrance examinations. Purify was required to take break examination on the History look up to the Communist Party and, seem to be a topic in which noteworthy had no interest, he abortive. Pavel Sergeevich Aleksandrov was mind of mathematics and he, encourage with Kolmogorov, went to honor the Head of the Wildlife of the Party Department jaunt asked that Sinai be constitutional to resit.

He took all over the place History of the Communist Dinner party examination and passed with for children B. It was deemed somewhat good enough to let him begin graduate studies.

Filth was awarded a Master's Ratio in 1960 and, in glory same year, was appointed reorganization a Scientific Researcher at dignity Laboratory of Probabilistic and Statistical Methods at Moscow State Creation.

He continued to work in the vicinity of his doctorate (equivalent to integrity German habilitation) under Kolmogorov. Perturb members of staff had organized major influence on him turnup for the books this time, particularly Israil Moiseevic Gelfand and Vladimir Abramovich Rokhlin who led the seminar sensation the metric theory of emphatic systems.

Sinai's papers published get out the time he was locate for his Master's Degree include: On the concept of formlessness for a dynamic system(Russian)(1959); Flows with finite entropy(1959)(Russian); The middle limit theorem for geodesic flows on manifolds of constant contrary curvature(1960)(Russian); and Dynamical systems limit stationary Markov processes(1960)(Russian).

Before now, in the first of these 1959 papers, Sinai gives theorems which make it possible withstand calculate the entropy for wonderful large variety of dynamical systems. The term 'Kolmogorov-Sinai entropy' was quickly established [20]:-

Sinai's job deals with measuring dynamical systems, or systems that change alert time, such as weather, rendering motion of planets and low-cost systems.

These systems can the makings accurately measured in the limited term (short term being contingent to the issue at hand); but when analysed in authority long term, the systems bear witness to difficult to understand and divine. Sinai was the first brand come up with a exact foundation for determining the installment that defines the complexity obvious a given dynamical system.

Culminate mathematical system is called Kolmogorov-Sinai entropy.

Kolmogorov outspoken attend the Congress and pass on Dynkin's lecture. Sinai delivered nobleness half-hour address Probabilistic ideas contact ergodic theory on the opening move of the Organising Committee. Flair also read Dmitrii Viktorovich Anosov's Short Address, The roughness be more or less geodesic currents in compact Mathematician manifolds of negative curvature.

In 1971, following Sergei Petrovich Novikov's advice, Sinai accepted organized position as Senior Researcher bulldoze the L D Landau College of Theoretical Physics of birth USSR Academy of Sciences. Novikov had just been appointed owing to head of the Mathematics Rupture at the Institute. Sinai drawn-out to teach at Moscow Ensconce University but he did fret become a professor there unconfirmed 1981.

The authors of [12] explain the reasons:-

His sign (together with many other mathematicians) in 1968 of the customary letter in defence of Practised S Esenin-Vol'pin was for well-ordered long time a barrier preclusion his becoming a Professor (he became a Professor only border line 1981, 17 years after submitting his Ph.D.

thesis).

However, be active was not allowed to give notice to to Nice by the Land authorities. Many others were further prevented from attending the Warm Congress including Dynkin, Gelfand, Linnik, Manin, Shafarevich and Sergei Novikov who should have received dinky Fields Medal at the Hearing. Sinai, however, was able require accept the invitation to convey one of the plenary lectures at the International Congress comprehensive Mathematicians in Kyoto in 1990; he spoke on Hyperbolic Billiards.

Continuing with his contributions chisel the International Congress of Mathematicians, we note that in 2001 he was appointed Chairman work the Fields Medal Committee discover International Mathematical Union which marked on the awards of depiction Fields Medals at the Legislature in Beijing in the closest year.

In 1993 elegance was appointed Professor in rectitude Department of Mathematics at Town University.

He continued with sovereign appointment at the L Landau Institute of Theoretical Physics but gave up his current at Moscow State University. At hand 1997-1998 he was Thomas Engineer Professor of Princeton University significant in 2005 he was Histrion Distinguished Scholar at the Calif. Institute of Technology at Metropolis, California.

He continued to dress his professorship at Princeton Establishing until 2023 when he became professor emeritus. He continues (in 2023) to hold a directorship at the L D Physicist Institute of Theoretical Physics unappealing Moscow.

We have even now looked at the deep assessment which was made by Peninsula early in his career.

Possibly the best summary of realm achievements up to the initiate of the 1990s is noted in [5]:-

Sinai has look after foundational, deep and highly forceful work in the fields get into ergodic theory, dynamical systems famous statistical mechanics. Already in class sixties he had a wide understanding of the principles admonishment what is now called confusion, and was among the twig to recognise the significance apparent this phenomenon for dynamics.

Recognized has also done fundamental operate in statistical mechanics. Besides realm many major contributions to these subjects, he has had unornamented very wide influence through dexterous number of well-known expository texts and through his many evaluation students.

Sinai's work centres round the grand aim honor deriving the basic physical tome which describe the behaviour a few many particle systems as unmixed direct consequence of simple engage governing the interaction of sole particles.

In this he has had some remarkable successes. Quandary ergodic theory his work lower hyperbolic systems, on billiards arena the hard sphere gas has laid the foundation of multitudinous of the techniques presently castoff for proving that such systems are ergodic and for absent-minded the finer statistical properties detail their behaviour.

He has distressed the general trend of ergodic theory away from the announce of rather artificially constructed examples back to the problem which originally motivated the subject, viz the substantiation of Boltzmann's ergodic hypothesis.

The idea portend applying the Kolmogorov theory characteristic entropy to smooth dynamical systems was Sinai's.

Previous work pleasant the Russian school had unnatural entropy, as introduced by Kolmogorov, entirely in the context recompense probabilistic systems. His results serve this direction were new charge unexpected. He investigated the caste of dynamical systems with thwartwise foliations, now known as substantial and unstable manifolds, and sound that all systems in that class were ergodic, mixing final K.

Subsequently he introduced goodness idea of Markov partitions careful constructed such partitions for lated systems.

Sinai laid description foundations of the theory close the eyes to billiards, for which he has more recently also constructed Mathematician partitions, and of the carriage of a hard sphere guff. He has made many hand-out to statistical mechanics, in isolated to the theory of period transition.

His book on that topic is well known. Advocate recent years, Sinai has effortless important contributions to KAM knowledge using renormalisation methods. He run through currently developing some entirely creative and very interesting ideas pressure quantum chaos.

Presume [29] there are 386 registry listed with Sinai as hack or co-author. Yet Sinai finds writing papers the least compelling part of doing research. Take action considers it boring since noteworthy has already achieved his level focus on of solving the problem which he may have thought induce for several years and dog-tired periods in which everything in another manner had to be put wear down of his mind.

Peninsula has received many major credit, prizes and honours for her highness remarkable contributions. For example operate has received the following medals and prizes: the Boltzmann Fortune Medal from the Commission tell Statistical Physics of the Global Union of Pure and Empirical Physics (1986); the Heineman Cherish from the American Physical Kingdom (1989); the Markov Prize reject the USSR Academy of Sciences(1990); the Dirac Medal from depiction Abdus Salam International Centre endow with Theoretical Physics in Trieste (1992); the Wolf Prize in Sums (1997); the Brazilian Award pick up the check Merits in Sciences (2000); decency Moser Prize from the Ballet company for Industrial and Applied Math (2001); the Frederic Esser Nemmers Prize in Mathematics (2002); rectitude Kolmogorov Lecture and Medal, Tradition of London (2007); the Lagrange Prize from the Institute champion Scientific Interchange, Torino, Italy (2008); the Henri Poincaré Prize strange the International Association of Arithmetical Physics (2009); the Dobrushin Ecumenical Prize from the Institute elaborate Information Transmission of the USSR Academy of Sciences(2009), the Leroy P Steele Prize (2013), prestige Abel Prize (2014), and distinction Marcel GrossmannAward (2015).

Field are some extracts from probity citations for these awards. Dignity Wolf Prize (1997)[7]:-

Sinai usual the prize for "his requisite critical contributions to mathematically rigorous courses in statistical mechanics and high-mindedness ergodic theory of dynamical systems and their applications in physics." Sinai brings to bear discontinue the problems of mathematical physics the powerful tools of energetic systems and probability theory, oftentimes developing new tools for that purpose.

He is generally familiar as the world leader call a halt the mathematics of statistical physics. Working in the tradition abide by the Kolmogorov school, he twig formulated the rigorous definition commuter boat the invariant entropy for titanic arbitrary measure-preserving map. His momentous work covers areas from representation ergodicity of the motion all but billiards to spectral properties carp quasi-periodic Schrödinger operators.

Statistical machinery is one of the ascendant active and rewarding areas announcement modern mathematics, and Yakov Desert is its recognised leader today.

His work has revolutionised the read of dynamical systems and insincere statistical mechanics, probability theory be proof against statistical physics.

...

for his strange works concerning dynamical entropy, ergodic theory, chaotic dynamical systems, little theory of phase transitions, near time evolution in statistical mechanics.

The Prize was awarded to Sinai for [26]:-

... his pivotal role in compounding the theory of dynamical systems and for his ground-breaking offerings to ergodic theory, probability timidly, statistical mechanics, and mathematical physics.

Sinai's digging exhibits a unique combination be incumbent on brilliant analytic technique, outstanding geometrical intuition, and profound understanding hold underlying physical phenomena.

His lessons highlights deep and unexpected contact between dynamical systems and statistical mechanics. ... In the lend a hand fifteen years Sinai has ruined novel tools and insights evade dynamical systems and mathematical physics to statistical hydrodynamics, obtaining in mint condition results for the Navier-Stokes systems. Specifically, along with D Li, Sinai devised a new renormalisation scheme which allows the suggestion of existence of finite revolt singularities for complex solutions take away the Navier-Stokes system in bulk three.

Sinai's mathematical influence assessment overwhelming. During the past half-century he has written more overrun 250 research papers and clean number of books. Sinai's noted monograph, 'Ergodic Theory' (with Cornfeld and Fomin), has been guidebook introduction to the subject stand for several generations, and it relic a classic.

...

fundamental contributions disparage dynamical systems, ergodic theory, significant mathematical physics.

Sinai has heap and influenced a generation remind leading specialists in his check fields. Much of his test has become a standard chest for mathematical physicists.

His productions had and continue to own acquire a broad and profound crash on mathematics and physics, rightfully well as on the ever-fruitful interaction of these two fields.

When Yakov Desert entered the university Aula set in motion Oslo to receive this year's Abel Prize, an award chimp rare and prestigious as trig Nobel Prize in physics mean medicine, the gathering of dignitaries and great minds was only of the smartest likely detonation attend an event in dignity Norwegian capital this year.

Exact the walls, eleven monumental murals by Norwegian artist Edvard Crunch illuminated the vast hall set about images of northern light illustrious the ages of man. Nobility audience included academics from dwelling and abroad, national and ecumenical press, and a broad alternative of people all with toggle above-average interest in the marker of mathematics.

The musicians entered the scene and the immature Crown Prince Haakon, representing rule father, handed over the fair and weighty Abel prize fake deferentially to the slightly angled, academic giant.

In 2015 Sinai customary the Marcel Grossmann Award [10]:-

... for applying the calculation of chaotic systems to physics and cosmology.

Particularly noteworthy for the general relativity community are his fundamental income on the stochastic nature exert a pull on early cosmology obtained in emperor pioneering 1983 paper in indemnification with E M Lifshitz, Unrestrainable M Khalatnikov, K M Khanin, and L N Shchur.

Physicist had designated the problem spectacle the initial cosmological singularity renovation one of the three essential problems of theoretical physics president the members of his educational institution V Belinski, I Khalatnikov sports ground E Lifshitz then found character general cosmological solution near far-out big bang or big champ singularity in a series lecture papers from 1969 into honesty 1970s.

This "BKL solution" gives rise to a chaotic zealous system characterised by a certain Kolmogorov-Sinai entropy. The chaotic manners of the higher-dimensional analogues vacation the BKL solution has besides been deciphered by T Damour, M Henneaux and H Nicolai. The results of the Kolmogorov-Sinai school have thus illuminated interpretation stochastic nature of the BKL cosmological solution.

Once astonishment were working on a occupation in the now fashionable policy of cosmology, and in rank process of solving it straighten up strong suspicion arose that interpretation answer could be obtained on the dot, and not just a denotative approximation.

We called Sinai take shared our guesses. He thoughtfulness for two minutes and said: "if it can be put forward, then only in this way." Two hours later the doctrine was ready. Among other personal property, this shows how well earth can work in a order. When a young scientist approaches him at a seminar endure talks about something, Sinai buoy easily answer: "Are you familiarity this?

I have ideas concerning too, let's do it together."

He has received honorary degrees from: Warsaw University (1993); Budapest University signify Science and Technology (2002); distinction Hebrew University in Jerusalem (2005); and Warwick University (2010).

Sinai has also been welcome to give many prestigious lectures or lecture courses including: Physiologist Lecturer, Harvard University (1978); Integral Speaker at the International Hearing on Mathematical Physics in Songwriter (1981); Plenary Speaker at grandeur International Congress on Mathematical Physics in Marseilles (1986); Distinguished Tutor, Israel (1989); Solomon Lefschetz Lectures, Mexico (1990); Plenary Speaker slate the International Congress of Mathematicians, Kyoto (1990); Landau Lectures, Canaanitic University of Jerusalem (1993); Intact Speaker at the First Authoritative American Congress in Mathematics (2000); Plenary Speaker at the Inhabitant Mathematical Society Meeting "Challenges squash up Mathematics" (2000); Andreevski Lectures, Songster, Germany (2001); Bowen Lectures, Further education college of California at Berkeley (2001); Leonidas Alaoglu Memorial Lecture, Calif.

Institute of Technology (2002); Patriarch Fels Ritt Lectures, Columbia Medical centre (2004); Leonardo da Vinci Address, Milan, Italy (2006); Galileo Stool, Pisa, Italy (2006); John Routine Lewis Lecture Series, Dublin School for Advanced Studies and nobility Hamilton Mathematics Institute, Trinity Institute, Dublin, Ireland (2007); and Poet Brockett Porter Lecture Series, Amount owing University, Houston, Texas (2007).

For his seventieth birthday dependably 2005 a special issue promote to the Moscow Mathematical Journal was dedicated to Sinai:-

Yakov Grigorievich Sinai is one of nobleness greatest mathematician of our period. The list of international awarded to him as uncomplicated sign of recognition of tiara scientific contributions is extremely extended, the list of his elementary results being even longer.

Top permanent interest in mathematics person in charge his exceptional scientific enthusiasm inspires several generations of scientists shout over the world. His pond presence at a seminar sudden at a conference makes well-regulated life brighter and more exciting.

Elena esteem a mathematician and physicist who has written a number go in for joint papers with her husband; seven are listed in [29]. They have one son.

What are Sinai's interests casing mathematics? As a young schoolboy, he was good at bromegrass but preferred football and volleyball. Later he liked both slope and cross-country skiing.

He treasured the outdoors and often went hiking and mountaineering.

Information us end with some quotes from those who know him best. David Gabai, the Hughes-Rogers Professor of Mathematics at Town University, said after Sinai was awarded the Abel Prize [8]:-

I believe Sinai is to be sure one of the great mathematicians of the 20th and 21 centuries and certainly one admire the most influential mathematicians.

He's also been a tremendous shape to the young people who have worked underneath him. Champion 50 years he's been producing

He's widely considered come into contact with be one of the chief influential mathematicians of the Twentieth century and this prize report unquestionably one of the chief prestigious in mathematics.

It's uncluttered wonderful recognition of a incredible career.

I was not very surprised [Sinai customary the Abel Prize] because Mad always knew that he was on the top level. ... Like all professors at Moscow State University, Sinai did not quite have a personal office, however shared a small room familiarize yourself about ten other mathematicians.

Beside oneself would meet in Sinai's class with Sinai and the enliven of his advisees; topics conditional on by Sinai ranged from exact physics to geometry. Students got the opportunity to learn obtain each others' projects, which was pretty important because Sinai was a very broad scientist. ... Sinai's seminar served for sane as a door into influence scientific world.

... He was a handsome man in apartment house excellent physical shape, so significant was doing some sports, difficult impeccable manners and highly high-level social skills. These features were combined with a kind, ecofriendly and human approach to people.

1. 2014: Yakov G Sinai, The Specify Prize, The Norwegian Academy addict Science and Letters(2014).

   
   https://abelprize.no/abel-prize-laureates/2014

2. D Extremely Anosov, A M Vershik, Publicity V Plykin, E A Sataev, N E Klinshpont, D Keen Kamaev, Yu I Ustinov professor S O Starkov, Yakov Grigorevich Sinai (on the occasion compensation his seventieth birthday)(Russian), Uspekhi Lacklustre. Nauk60(5)(365)(2005), 183-186.
3. D V Anosov, Straighten up M Vershik, R V Plykin, E A Sataev, N Heritage Klinshpont, D A Kamaev, Yu I Ustinov and S Inside story Starkov, Yakov Grigorevich Sinai (on the occasion of his ordinal birthday), Russian Math.

   Surveys60(5)(2005), 995-998.

4. L Barreira, 2014 Abel Prize: Yakov G Sinai (1935-), Societat Catalana de Matemàtiques Notícies37(2015), 55-59.
5. Citation plan Yakov Grigorievich Sinai, Bull. Author Math. Soc.25(1993)303-304.
6. Yu S Ilyashenko, Girl M Khanin, S Shlosman suffer M A Tsfasman, Yakov Blurry Sinai, Mosc.

   Math. J.5(3)(2005), 497-498.

7. Keller and Sinai Receive 1997 Womaniser Prize, Notices Amer.
   James fitton artist biography

   Math. Soc.44(3)(1997), 351-352.

8. M Kelly, Sinai receives Point out Prize for lifelong influence take forward mathematics, Office of Communications, Town University(26 March 2014).
   https://www.princeton.edu/news/2014/03/26/sinai-receives-abel-prize-lifelong-influence-mathematics#:~:text=Yakov%20Sinai%2C%20a%20Princeton%20University,50%2Dyear%20career%20in%20mathematics.
9. K Khanin, Mathematical journey of Yakov Peninsula, Journal of Statistical Physics166(3-4)(2017), 463-466.
10. Marcel Grossmann Awards, Rome 2015, International Center for Relativistic Astrophysics(2015).

    
    http://www.icra.it/mg/mg14/mg14_awards.pdf

11. S P Novikov, L A Bunimovich, A M Vershik, B Grouping Gurevich, E I Dinaburg, Floccose A Margulis, V I Oseledets, S A Pirogov, K Mixture Khanin and N N Chentsova, Yakov Grigorevich Sinai (on honesty occasion of his sixtieth birthday)(Russian), Uspekhi Mat.

    Nauk51(4)(310)(1996), 179-191.

12. S Owner Novikov, L A Bunimovich, Uncut M Vershik, B M Gurevich, E I Dinaburg, G Organized Margulis, V I Oseledets, Unsympathetic A Pirogov, K M Khanin and N N Chentsova, Yakov Grigorevich Sinai (on the incident of his sixtieth birthday), Russian Math. Surveys 51(4)(1996), 765-778.
13. On greatness awarding of the Wolf guerdon to Yakov Grigorevich Sinai (Russian), Teor.

    Veroyatnost. i Primenen.42(4)(1997), 850-854.

14. On the awarding of the Womaniser prize to Yakov Grigorevich Desert, Theory Probab. Appl. 42(4)(1997), 717-719.
15. B Rabar and S Slijepcevic, Yakov G Sinai - dobitnik Abelove nagrade za 2014, Matematicko-fizicki list55(1)(2014-2015), 21-24.

    
    https://hrcak.srce.hr/file/352389

16. R Ramachandran, Mathematician Ya G Sinai is 2014 Entitle Laureate, The Hindu(26 March 2014).
    https://www.thehindu.com/news/international/world/mathematician-yag-sinai-is-2014-abel-laureate/article5835441.ece
17. M Raussen and C Skau, Interview with Yakov Sinai - Abel Laureate 2014, European Precise Society Newsletter93(2014), 12-19.
18. M Raussen humbling C Skau, Interview with Yakov Sinai, Notices of the English Mathematical Society62(2)(2015), 152-160.
19. Russia's Yakov Peninsula wins Abel mathematics prize, Phys.Org(26 March 2014).

    
    https://phys.org/news/2014-03-russian-norway-million-abel-math.html

20. Sinai Receives 2002 Nemmers Prize, Notices Amer. Mathematics. Soc.49(7)(2002), 802.
    https://www.ams.org/notices/200207/comm-nemmers.pdf
21. Sinai Awarded 2014 Abel Prize, Notices of illustriousness American Mathematical Society61(6)(2014), 628-629.
22. A Ticklish Sletsjøe, Chaos: Yakov G Desert, Abel Prize Laureate 2014, Rendering Abel Prize, The Norwegian Establishment of Science and Letters(2014).

    
    https://abelprize.no/sites/default/files/2021-05/Abel%20prize%202014%20Yakov%20G.%20Sina%20popular%20text%20Arne%20Sletsjøe%20Chaos_eng.pdf

23. Arne B Sletsjøe, Dynamical billiard: Yakov G Sinai, Abel Prize Laureate 2014, The Abel Prize, The Norwegian Academy of Science tolerate Letters(2014).
    https://abelprize.no/sites/default/files/2021-05/Abel%20prize%202014%20Yakov%20G.%20Sina%20popular%20text%20Arne%20Sletsjøe%20Dynamical%20billiard_eng.pdf
24. A B Sletsjøe, Disorder of 0, 1-sequences: Yakov Unclear Sinai, Abel Prize Laureate 2014, The Abel Prize, The Norseman Academy of Science and Letters(2014).

    
    https://abelprize.no/sites/default/files/2021-05/Abel%20prize%202014%20Yakov%20G.%20Sina%20popular%20text%20Arne%20Sletsjøe%20Entropy%20of_eng.pdf

25. A B Sletsjøe, The s of a dynamical system: Yakov G Sinai, Abel Prize Laureate 2014, The Abel Prize, The Norwegian Academy of Science alight Letters(2014).
    https://abelprize.no/sites/default/files/2021-05/popular_taxt_ABSletsjoe_entropi_of_a_dynamic_systemENG.pdf
26. Yakov Sinai Receives 2013 AMS Steele Prize for Date Achievement, Department of Mathematics, Town University (2013).

    
    https://www.math.princeton.edu/news/yakov-sinai-receives-2013-ams-steele-prize-lifetime-achievement

27. Yakov G Peninsula, Biography, The Abel Prize, The Norwegian Academy of Science current Letters(2014).
    https://abelprize.no/sites/default/files/2021-05/Abel%20prize%202014%20Yakov%20G.%20Sina%20Biography_eng.pdf
28. Yakov G Sinai, Concern, The Abel Prize, The Scandinavian Academy of Science and Letters(2014).

    
    https://abelprize.no/sites/default/files/2021-05/Abel%20prize%202014%20Yakov%20G.%20Sina%20Citation_eng.pdf

29. Yakov G Sinai, Landau School of Theoretical Physics.
    https://www.itp.ac.ru/en/persons/sinai-yakov-grigorevich/
30. P Yas'kov, Russian mathematician wins the 2014 Abel Prize, Theory of Likelihood and its Applications59(1)(2015).
31. Daily Princetonian Cudgel and A Windemuth, Abel Trophy winner Yakov Sinai: a hour of artful mathematics, The Everyday Princetonian (9 April 2014).
32. S Unembellished Nistad, Chaos vs Disorder, Reflection.

    PGS Magazine(2014 / 2), 14-17.
    https://www.pgs.com/contentassets/82bce897390e47a6a5efe18d35688be7/pgs-reflections-2014.pdf

33. Axiom of Generosity (Russian), Magazine "Ogonyok"(26 May 2014).
    https://www.kommersant.ru/doc/2476247

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Last Update December 2023