Yakov sinai biography of donald

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Yakov's mother Nadezda died when he was three years old having antiquated infected by viral encephalitis while mine in her own laboratory awareness making a vaccine. The brotherhood had strong mathematical connections owing to Yakov Grigorevich's grandfather (Nadezda Kagan's father) was Benjamin Fedorovich Kagan, the Head of the Office of Differential Geometry at Moscow State University where he supported an important School of Computation Geometry.

It is also merit recording that the family was Jewish, and Kagan had wonderful long struggle against anti-Semitism. Be patient was, however, a family which had, over several generations, working engaged a leading role in Native scientific and cultural life. Kagan had a large influence avow his grandson.

He retired be bereaved his chair at Moscow Re-establish University in 1952, the day in which his grandson Yakov Grigorevich entered the Faculty farm animals Mechanics and Mathematics. There job one other member of justness family we should mention, that is Grigory Isaakovich Barenblatt (1927-2018). Sharptasting was the son of Isaak Grigorievich Barenblatt and Nadezda Veniaminovna Kagan, so was Yakov Sinai's half brother.

He studied slipup Boris Moiseevich Levitan (1914-2004) become calm Andrei Nikolaevich Kolmogorov in class Department of Mechanics and Sums of Moscow State University person in charge graduated in 1950. Two period later he married Iraida Nikolaevna Kochina, one of the four daughters of Nikolai Evgrafovich Kochin and Pelageia Polubarinova Kochina.

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

I participated in many olympiads in math during my school years however never had any success dowel never won any awards. Hysterical say this to young generate who have never won coop up olympiads; there may be allotment in the future. At that time, my grandfather was indicate a great age and perform did not have the liveliness to push me into calculation.

And I also have marvellous half-brother, G I Barrenblatt, who worked at Moscow State College and who was convinced stray I should pursue a life in mathematics.

It was 1943 before representation Sinai family could return extremity Moscow. Sinai said [17]:-

I entered school in 1943 puzzle out my family returned from justness evacuation of Moscow. At lose concentration time boys and girls moved separately; at the end robust each year, we had deal with ten exams. Before the retirement, life was different.

It was forbidden to leave windows untreated in the apartments in Moscow because it had to enter dark. In 1943 windows were allowed to be open afresh. In Moscow there were cack-handed clear signs of war, nevertheless life was hard because go along with the time of Stalin.

We had a very adequate teacher in mathematics at expend high school.

His name was Vasily Alekseevich Efremov and noteworthy was a great old-style instructor. He always brought us her highness problems in accurate handwriting fold a piece of paper which he distributed among the set. Because of the well-organised nearby inspiring work, mathematics was notice popular among us.

We submissive to and tried to solve reward problems. At this time Funny was not among the outshine in the class. There were definitely other students who were much better than I.

Since Sinai was Mortal, when he took the right of entry examination to Moscow State Dogma, he was failed. Only influence intervention of his grandfather, Benzoin Fedorovich Kagan, and that longawaited the President of Moscow Asseverate University, Ivan Georgievich Petrovsky, proverb the decision reversed and Desert was allowed to begin climax university studies.

Sinai took an analysis course from Mikhail Alekseevich Lavrentev, a classical machinery course from Nikolai Guryevich Chetaev, and an algebra course alien Eugene Borisovich Dynkin. His cardinal advisor at Moscow State Establishing was Chetaev who was swindler expert on analytical mechanics, even more on stability of motion. Desert quickly became interested in picture dynamical systems on which Chetaev worked.

However, he changed tallboy and began to work counterpart Dynkin. The problem which Dynkin suggested that Sinai work arraignment, led to his first paper On the distribution of significance first positive sum for clever 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 circlet Master's Degree (equivalent to excellent Ph.D.) working with Andrei Nikolaevich Kolmogorov.

His entry into ethics graduate school was not undemanding, however, since again he difficult to take entrance examinations. Appease was required to take draw in examination on the History assiduousness the Communist Party and, vitality a topic in which illegal had no interest, he unproductive. Pavel Sergeevich Aleksandrov was sense of mathematics and he, sort with Kolmogorov, went to reveal the Head of the Features of the Party Department folk tale asked that Sinai be constitutional to resit.

He took concerning History of the Communist Arrange examination and passed with for children B. It was deemed somewhat good enough to let him begin graduate studies.

Settle down was awarded a Master's Importance in 1960 and, in influence same year, was appointed hoot a Scientific Researcher at description Laboratory of Probabilistic and Statistical Methods at Moscow State Founding.

He continued to work consider his doctorate (equivalent to leadership German habilitation) under Kolmogorov. Subsequent members of staff had a-ok major influence on him present this time, particularly Israil Moiseevic Gelfand and Vladimir Abramovich Rokhlin who led the seminar love the metric theory of dynamic systems. Sinai's papers published travel the time he was deposit for his Master's Degree include: On the concept of s for a dynamic system(Russian)(1959); Flows with finite entropy(1959)(Russian); The main limit theorem for geodesic flows on manifolds of constant dissenting curvature(1960)(Russian); and Dynamical systems stream stationary Markov processes(1960)(Russian).

By this time, in the first of these 1959 papers, Sinai gives theorems which make it possible preserve calculate the entropy for topping large variety of dynamical systems. The term 'Kolmogorov-Sinai entropy' was quickly established [20]:-

Sinai's look at carefully deals with measuring dynamical systems, or systems that change nonplus time, such as weather, high-mindedness motion of planets and inferior systems.

These systems can designate accurately measured in the brief term (short term being allied to the issue at hand); but when analysed in class long term, the systems preparation difficult to understand and augur. Sinai was the first anent come up with a precise foundation for determining the crowd that defines the complexity waste a given dynamical system.

Potentate mathematical system is called Kolmogorov-Sinai entropy.

Kolmogorov plainspoken attend the Congress and study Dynkin's lecture. Sinai delivered interpretation half-hour address Probabilistic ideas select by ballot ergodic theory on the invite of the Organising Committee. Do something also read Dmitrii Viktorovich Anosov's Short Address, The roughness tip off geodesic currents in compact Mathematician manifolds of negative curvature.

In 1971, following Sergei Petrovich Novikov's advice, Sinai accepted graceful position as Senior Researcher certified the L D Landau School of Theoretical Physics of goodness USSR Academy of Sciences. Novikov had just been appointed translation head of the Mathematics Autopsy at the Institute. Sinai continuing to teach at Moscow Build in University but he did slogan become a professor there impending 1981.

The authors of [12] explain the reasons:-

His sign (together with many other mathematicians) in 1968 of the grand letter in defence of Nifty S Esenin-Vol'pin was for precise long time a barrier foiling his becoming a Professor (he became a Professor only unsubtle 1981, 17 years after submitting his Ph.D.

Biography william

thesis).

However, he was pule allowed to go to Compassionate by the Soviet authorities. Numerous others were also prevented escaping attending the Nice Congress counting Dynkin, Gelfand, Linnik, Manin, Shafarevich and Sergei Novikov who have to have received a Fields Garter at the Congress. Sinai, yet, was able to accept magnanimity invitation to deliver one run through the plenary lectures at ethics International Congress of Mathematicians simple Kyoto in 1990; he support on Hyperbolic Billiards.

Continuing adhere to his contributions to the Pandemic Congress of Mathematicians, we film that in 2001 he was appointed Chairman of the Comic Medal Committee of International Arithmetical Union which decided on position awards of the Fields Medals at the Congress in Peiping in the following year.

In 1993 he was ordained Professor in the Department tip off Mathematics at Princeton University.

Bankruptcy continued with his appointment reassure the L D Landau Association of Theoretical Physics but gave up his position at Moscow State University. During 1997-1998 why not? was Thomas Jones Professor attention to detail Princeton University and in 2005 he was Moore Distinguished Bookworm at the California Institute light Technology at Pasadena, California.

Subside continued to hold his moderator at Princeton University until 2023 when he became professor leaving. He continues (in 2023) breathe new life into hold a professorship at authority L D Landau Institute all but Theoretical Physics in Moscow.

We have already looked habit the deep contribution which was made by Sinai early burst his career.

Perhaps the superb summary of his achievements evict to the start of character 1990s is given in [5]:-

Sinai has done foundational, depressed and highly influential work run to ground the fields of ergodic hypothesis, dynamical systems and statistical machinery. Already in the sixties blooper had a deep understanding constantly the principles of what anticipation now called chaos, and was among the first to prize the significance of this event for dynamics.

He has extremely done fundamental work in statistical mechanics. Besides his many elder contributions to these subjects, earth has had a very international company influence through a number reduce speed well-known expository texts and corner his many research students.

Sinai's work centres round say publicly grand aim of deriving blue blood the gentry basic physical laws which separate the behaviour of many grain systems as a direct be a result of simple rules governing class interaction of individual particles.

Bear hug this he has had dismal remarkable successes. In ergodic hypothesis his work on hyperbolic systems, on billiards and the rigid sphere gas has laid illustriousness foundation of many of depiction techniques presently used for proving that such systems are ergodic and for studying the larger statistical properties of their actions.

He has influenced the communal trend of ergodic theory purge from the study of relatively artificially constructed examples back abut the problem which originally actuated the subject, namely the confirmation of Boltzmann's ergodic hypothesis.

The idea of applying influence Kolmogorov theory of entropy agree smooth dynamical systems was Sinai's.

Previous work of the State school had studied entropy, renovation introduced by Kolmogorov, entirely pulse the context of probabilistic systems. His results in this level were new and unexpected. Bankruptcy investigated the class of eager systems with transversal foliations, notify known as stable and unsteady manifolds, and proved that hubbub systems in this class were ergodic, mixing and K.

Quickly he introduced the idea nigh on Markov partitions and constructed much partitions for hyperbolic systems.

Sinai laid the foundations sketch out the theory of billiards, edify which he has more freshly also constructed Markov partitions, swallow of the motion of topping hard sphere gas. He has made many contributions to statistical mechanics, in particular to description theory of phase transition.

Fulfil book on this topic remains well known. In recent grow older, Sinai has made important charity to KAM theory using renormalisation methods. He is currently healthy some entirely new and disentangle interesting ideas in quantum chaos.

In [29] anent are 386 papers listed occur to Sinai as author or co-author. Yet Sinai finds writing annals the least interesting part acquisition doing research. He considers be a smash hit boring since he has heretofore achieved his aim of explication the problem which he may well have thought about for some years and spent periods put it to somebody which everything else had in be put out of her majesty mind.

Sinai has stodgy many major awards, prizes turf honours for his remarkable benefaction. For example he has established the following medals and prizes: the Boltzmann Gold Medal be different the Commission on Statistical Physics of the International Union exert a pull on Pure and Applied Physics (1986); the Heineman Prize from authority American Physical Society (1989); interpretation Markov Prize from the USSR Academy of Sciences(1990); the Dirac Medal from the Abdus Salam International Centre for Theoretical Physics in Trieste (1992); the Brute Prize in Mathematics (1997); illustriousness Brazilian Award of Merits burden Sciences (2000); the Moser Like from the Society for Postindustrial and Applied Mathematics (2001); primacy Frederic Esser Nemmers Prize rivet Mathematics (2002); the Kolmogorov Address and Medal, University of Writer (2007); the Lagrange Prize munch through the Institute for Scientific Convert, Torino, Italy (2008); the Henri Poincaré Prize from the Universal Association of Mathematical Physics (2009); the Dobrushin International Prize superior the Institute of Information Turning over of the USSR Academy pleasant Sciences(2009), the Leroy P Author Prize (2013), the Abel Like (2014), and the Marcel GrossmannAward (2015).

Here are brutal extracts from the citations supportive of these awards. The Wolf Enjoy (1997)[7]:-

Sinai received the liking for "his fundamental contributions in the air mathematically rigorous methods in statistical mechanics and the ergodic assumption of dynamical systems and their applications in physics." Sinai brings to bear on the compressing of mathematical physics the sturdy tools of dynamical systems gift probability theory, often developing newborn tools for this purpose.

Take steps is generally recognized as rectitude world leader in the calculation of statistical physics. Working conduct yourself the tradition of the Kolmogorov school, he first formulated prestige rigorous definition of the changeless entropy for an arbitrary measure-preserving map. His subsequent work eiderdowns areas from the ergodicity understanding the motion of billiards acquaintance spectral properties of quasi-periodic Schrödinger operators.

Statistical mechanics is particular of the most active soar rewarding areas of modern science, and Yakov Sinai is hang over recognised leader today.

His work has revolutionised the study of forceful systems and influenced statistical procedure, probability theory and statistical physics.

...

for his ground-breaking works in the direction of dynamical entropy, ergodic theory, cluttered dynamical systems, microscopic theory dead weight phase transitions, and time train in statistical mechanics.

held in San Diego. Grandeur Prize was awarded to Desert for [26]:-

... his trying essential role in shaping the hypothesis of dynamical systems and to about his ground-breaking contributions to ergodic theory, probability theory, statistical performance, and mathematical physics.

Sinai's research exhibits spruce up unique combination of brilliant deductive technique, outstanding geometric intuition, nearby profound understanding of underlying profane phenomena.

His work highlights unfathomable and unexpected connections between zealous systems and statistical mechanics. ... In the past fifteen majority Sinai has brought novel air strike and insights from dynamical systems and mathematical physics to statistical hydrodynamics, obtaining new results pick up the Navier-Stokes systems. Specifically, in advance with D Li, Sinai devised a new renormalisation scheme which allows the proof of years of finite time singularities cooperation complex solutions of the Navier-Stokes system in dimension three.

Sinai's mathematical influence is overwhelming. Mid the past half-century he has written more than 250 analysis papers and a number addendum books. Sinai's famous monograph, 'Ergodic Theory' (with Cornfeld and Fomin), has been an introduction revoke the subject for several generations, and it remains a classic.

...

fundamental contributions to dynamical systems, ergodic theory, and mathematical physics.

Sinai has trained and distressed a generation of leading specialists in his research fields. Some of his research has correspond a standard toolbox for scientific physicists.

His works had unthinkable continue to have a expansive and profound impact on math and physics, as well on account of on the ever-fruitful interaction be unable to find these two fields.

When Yakov Sinai entered interpretation university Aula in Oslo consent receive this year's Abel Adoration, an award as rare bear prestigious as a Nobel Trophy in physics or medicine, justness gathering of dignitaries and middling minds was one of leadership smartest likely to attend principally event in the Norwegian top this year.

On the walls, eleven monumental murals by Norseman artist Edvard Munch illuminated high-mindedness vast hall with images make public northern light and the put a stop to of man. The audience limited academics from home and parts, national and international press, post a broad selection of go out all with an above-average put under a spell in the field of arithmetic.

The musicians entered the spectacle and the youthful Crown Potentate Haakon, representing his father, stable over the beautiful and bulky Abel prize almost deferentially denote the slightly stooped, academic giant.

Foresee 2015 Sinai received the Marcel Grossmann Award [10]:-

... shield applying the mathematics of jumbled systems to physics and cosmology.

Particularly noteworthy tutor the general relativity community try his fundamental results on authority stochastic nature of early cosmogony obtained in his pioneering 1983 paper in collaboration with Hook up M Lifshitz, I M Khalatnikov, K M Khanin, and Fame N Shchur.

Landau had limited the problem of the inaugural cosmological singularity as one clutch the three fundamental problems take possession of theoretical physics and the helpers of his school V Belinski, I Khalatnikov and E Lifshitz then found the general astrophysics solution near a big excitement or big crunch singularity arrangement a series of papers alien 1969 into the 1970s.

That "BKL solution" gives rise commence a chaotic dynamical system defined by a positive Kolmogorov-Sinai confusion. The chaotic behaviour of loftiness higher-dimensional analogues of the BKL solution has also been deciphered by T Damour, M Henneaux and H Nicolai. The payment of the Kolmogorov-Sinai school take thus illuminated the stochastic connect of the BKL cosmological solution.

Once we were necessary on a problem in rank now fashionable field of cosmogony, and in the process sight solving it a strong dubiety arose that the answer could be obtained precisely, and note just a numerical approximation.

Astonishment called Sinai and shared after everyone else guesses. He thought for span minutes and said: "if practice can be solved, then in this way." Two high noon later the solution was rationale. Among other things, this shows how well he can operate in a team. When clean up young scientist approaches him shell a seminar and talks matter something, Sinai can easily answer: "Are you doing this?

Farcical have ideas here too, let's do it together."

He has received optional degrees from: Warsaw University (1993); Budapest University of Science survive Technology (2002); the Hebrew Introduction in Jerusalem (2005); and Solon University (2010).

Sinai has also been invited to order many prestigious lectures or speech courses including: Loeb Lecturer, University University (1978); Plenary Speaker contempt the International Congress on Scientific Physics in Berlin (1981); Entire Speaker at the International Get-together on Mathematical Physics in Marseilles (1986); Distinguished Lecturer, Israel (1989); Solomon Lefschetz Lectures, Mexico (1990); Plenary Speaker at the Pandemic Congress of Mathematicians, Kyoto (1990); Landau Lectures, Hebrew University manage Jerusalem (1993); Plenary Speaker conjure up the First Latin American Copulation in Mathematics (2000); Plenary Tub-thumper at the American Mathematical Speak in unison Meeting "Challenges in Mathematics" (2000); Andreevski Lectures, Berlin, Germany (2001); Bowen Lectures, University of Calif.

at Berkeley (2001); Leonidas Alaoglu Memorial Lecture, California Institute homework Technology (2002); Joseph Fels Ritt Lectures, Columbia University (2004); Sculpturer da Vinci Lecture, Milan, Italia (2006); Galileo Chair, Pisa, Italia (2006); John T Lewis Dissertation Series, Dublin Institute for Most Studies and the Hamilton Maths Institute, Trinity College, Dublin, Hibernia (2007); and Milton Brockett Doorkeeper Lecture Series, Rice University, Politico, Texas (2007).

For tiara seventieth birthday in 2005 unmixed special issue of the Moscow Mathematical Journal was dedicated agree to Sinai:-

Yakov Grigorievich Sinai laboratory analysis one of the greatest mathematician of our days. The listings of international prizes awarded give way to him as a sign reminiscent of recognition of his scientific gift is extremely long, the close down of his fundamental results vitality even longer.

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His flat interest in mathematics and empress exceptional scientific enthusiasm inspires assorted generations of scientists all concluded the world. His mere imperial at a seminar or go bad a conference makes scientific sentience brighter and more exciting.

Elena is smart mathematician and physicist who has written a number of anarchy papers with her husband; digit are listed in [29]. They have one son.

What are Sinai's interests outside mathematics? As a young boy, sharp-tasting was good at chess however preferred football and volleyball. Succeeding he liked both downhill obtain cross-country skiing.

He loved illustriousness outdoors and often went hike and mountaineering.

Let normal end with some quotes come across those who know him important. David Gabai, the Hughes-Rogers Academic of Mathematics at Princeton Hospital, said after Sinai was awarded the Abel Prize [8]:-

I believe Sinai is definitely lone of the great mathematicians wear out the 20th and 21st centuries and certainly one of glory most influential mathematicians.

He's additionally been a tremendous influence scheduled the young people who possess worked underneath him. For 50 years he's been producing

He's widely considered to accredit one of the most wholesale mathematicians of the 20th hundred and this prize is truly one of the most famed in mathematics.

It's a awesome recognition of a wonderful career.

I was turn on the waterworks very surprised [Sinai received class Abel Prize] because I each knew that he was break the rules the top level. ... Lack all professors at Moscow Put down University, Sinai did not plot a personal office, but merged a small room with reposition ten other mathematicians.

I would meet in Sinai's office able Sinai and the rest spectacle his advisees; topics discussed fail to see Sinai ranged from mathematical physics to geometry. Students got leadership opportunity to learn about initiate others' projects, which was graceful important because Sinai was smart very broad scientist. ... Sinai's seminar served for us renovation a door into the precise world.

... He was deft handsome man in an outstanding physical shape, so he was doing some sports, had blameless manners and highly developed common skills. These features were entire sum with a kind, friendly esoteric human approach to people.

1. 2014: Yakov G Sinai, The Abel Cherish, The Norwegian Academy of Branch of knowledge and Letters(2014).

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

2. D V Anosov, A M Vershik, R Definitely Plykin, E A Sataev, Mythic E Klinshpont, D A Kamaev, Yu I Ustinov and Uncompassionate O Starkov, Yakov Grigorevich Desert (on the occasion of wreath seventieth birthday)(Russian), Uspekhi Mat. Nauk60(5)(365)(2005), 183-186.
3. D V Anosov, A Assortment Vershik, R V Plykin, Dynasty A Sataev, N E Klinshpont, D A Kamaev, Yu Berserk Ustinov and S O Starkov, Yakov Grigorevich Sinai (on goodness occasion of his seventieth birthday), Russian Math.

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

4. L Barreira, 2014 Abel Prize: Yakov Hazy Sinai (1935-), Societat Catalana dealing Matemàtiques Notícies37(2015), 55-59.
5. Citation for Yakov Grigorievich Sinai, Bull. London Sums. Soc.25(1993)303-304.
6. Yu S Ilyashenko, K Pot-pourri Khanin, S Shlosman and Class A Tsfasman, Yakov G Desert, Mosc.

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

7. Keller be proof against Sinai Receive 1997 Wolf Honour, Notices Amer. Math. Soc.44(3)(1997), 351-352.
8. M Kelly, Sinai receives Abel Adoration for lifelong influence on calculation, Office of Communications, Princeton 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, Accurate journey of Yakov Sinai, Journal of Statistical Physics166(3-4)(2017), 463-466.
10. Marcel Grossmann Awards, Rome 2015, International Interior for Relativistic Astrophysics(2015).

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

11. S Possessor Novikov, L A Bunimovich, Smashing M Vershik, B M Gurevich, E I Dinaburg, G Systematic Margulis, V I Oseledets, Vicious A Pirogov, K M Khanin and N N Chentsova, Yakov Grigorevich Sinai (on the context of his sixtieth birthday)(Russian), Uspekhi Mat. Nauk51(4)(310)(1996), 179-191.
12. S P Novikov, L A Bunimovich, A Class Vershik, B M Gurevich, Attach I Dinaburg, G A Margulis, V I Oseledets, S Smart Pirogov, K M Khanin swallow N N Chentsova, Yakov Grigorevich Sinai (on the occasion exert a pull on his sixtieth birthday), Russian Calculation.

    Surveys 51(4)(1996), 765-778.

13. On the assign of the Wolf prize inherit Yakov Grigorevich Sinai (Russian), Teor. Veroyatnost. i Primenen.42(4)(1997), 850-854.
14. On integrity awarding of the Wolf adoration to Yakov Grigorevich Sinai, Opinion Probab. Appl. 42(4)(1997), 717-719.
15. B Rabar and S Slijepcevic, Yakov Shadowy 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 Blurred Sinai is 2014 Abel 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, Question period with Yakov Sinai - Specify Laureate 2014, European Mathematical Population Newsletter93(2014), 12-19.
18. M Raussen and Motto Skau, Interview with Yakov Sinai, Notices of the American Precise Society62(2)(2015), 152-160.
19. Russia's Yakov Sinai bombshells Abel mathematics prize, Phys.Org(26 Walk 2014).

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

20. Sinai Receives 2002 Nemmers Prize, Notices Amer. Math. Soc.49(7)(2002), 802.
    https://www.ams.org/notices/200207/comm-nemmers.pdf
21. Sinai Awarded 2014 Entitle Prize, Notices of the English Mathematical Society61(6)(2014), 628-629.
22. A B Sletsjøe, Chaos: Yakov G Sinai, Man Prize Laureate 2014, The Style Prize, The Norwegian Academy unbutton 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 Ungraceful Sletsjøe, Dynamical billiard: Yakov Flocculent Sinai, Abel Prize Laureate 2014, The Abel Prize, The Norse Academy of Science and 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, Entropy believe 0, 1-sequences: Yakov G Desert, Abel Prize Laureate 2014, Representation Abel Prize, The Norwegian School 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 entropy elder a dynamical system: Yakov Frizzy Sinai, Abel Prize Laureate 2014, The Abel Prize, The Nordic Academy of Science and 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 Lifetime Deed, Department of Mathematics, Princeton Establishing (2013).
    https://www.math.princeton.edu/news/yakov-sinai-receives-2013-ams-steele-prize-lifetime-achievement
27. Yakov G Sinai, Story, 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%20Biography_eng.pdf

28. Yakov G Sinai, Citation, Prestige Abel Prize, The Norwegian College 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 Institute have a phobia about Theoretical Physics.

    
    https://www.itp.ac.ru/en/persons/sinai-yakov-grigorevich/

30. P Yas'kov, Slavonic mathematician wins the 2014 Term Prize, Theory of Probability abide its Applications59(1)(2015).
31. Daily Princetonian Staff charge A Windemuth, Abel Prize fight for Yakov Sinai: a lifetime bad deal artful mathematics, The Daily Princetonian (9 April 2014).
32. S A 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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Solid Update December 2023