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In this paper, using only elementary mathematics, and starting with almost nothing, Dynkin, brilliantly and elegantly developed the structure and machinery of semisimple Lie algebras. What he accomplished in this paper was to take a hitherto esoteric subject, and to make it into beautiful and
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in 1948. He became an assistant professor at Moscow, but was not awarded a "chair" until 1954 because of his political undesirability. His academic progress was made difficult due to his father's fate, as well as Dynkin's Jewish origin; the special efforts of
402:. The algebraic period of Dynkin's mathematical work was between 1944 and 1954, though even during this time a probabilistic theme was noticeable. Indeed, Dynkin's first publication was in 1945, jointly with N. A. Dmitriev, solved a problem on the
492:. The results obtained by Dynkin and other participants of his seminar at Moscow University were summarized in two books. The first of these, "Theory of Markov Processes", was published in 1959, and laid the foundations of the theory.
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454:. In this way he obtained a cleaner exposition of the classification of complex semisimple Lie algebras. Of Dynkin's 1947 paper "Structure of semisimple Lie algebras",
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Vvedenskaya, N. D.; Dobrushin, R. L.; Onishchik, A. L.; Uspenskiĭ, V. A. (1994). "Evgeniĭ Borisovich Dynkin (on the occasion of his seventieth birthday)".
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Dynkin's 1952 influential paper "Semisimple subalgebras of semisimple Lie algebras", contained large tables and lists, and studied the subalgebras of the
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Dynkin is considered to be a rare example of a mathematician who made fundamental contributions to two very distinct areas of mathematics:
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830:, p. xv), Dynkin states "I came to the United States from the Soviet Union in 1977".
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430:. In 1944, Gelfand asked him to prepare a survey on the structure and classification of
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876:"Conversation of Eugene Dynkin with Sergei Kuznetsov, Ithaca, New York, July 25, 1999"
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Superdiffusions and
Positive Solutions of Nonlinear Partial Differential Equations
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577:. Grundlehren der mathematischen Wissenschaften, Band 108. Springer Verlag. 1961.
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450:. He represented the pairwise angles between these simple roots in the form of a
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601:. London Math. Soc. Lecture Notes Series, 54. Cambridge University Press. 1982.
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Doctor
Honoris Causa of the Pierre and Marie Curie University (Paris 6), 1997
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In 1968, Dynkin was forced to transfer from the Moscow
University to the
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Doctor
Honoris Causa of the Independent Moscow University (Russia), 2003
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593:. Grundlehren der mathematischen Wissenschaften. Springer Verlag. 1979.
585:. Grundlehren der mathematischen Wissenschaften. Springer Verlag. 1965.
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35:
Eugene Dynkin at home in 2003. Photo courtesy of the Dynkin
Collection.
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507:. This talk was titled "Markov processes and problems in analysis".
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285:. Two years later, when Dynkin was 13, his father disappeared in the
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30:
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Markov
Processes and Related Problems of Analysis, Selected Papers
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He remained at the
Institute until 1976, when he emigrated to the
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Dynkin is considered one of the founders of the modern theory of
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235:
845:(in Russian). Moscow Mathematical Center of Continuous Education
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Diffusions, superdiffusions and partial differential equations
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Diffusions, Superdiffusions and
Partial Differential Equations
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While Dynkin was a student at Moscow
University, he attended
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Members of the United States
National Academy of Sciences
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414:, while both Dynkin and Dmitriev were undergraduates.
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National Academy of Sciences of the USA, Member, 1985
410:. This problem was raised at Kolmogorov's seminar on
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Die Grundlagen der Theorie der Markoffschen Prozesse
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List of Fellows of the American Mathematical Society
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Die Grundlagen der Theorie der Markoffschen Prozesse
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American Academy of Arts and Sciences, Fellow, 1978
535:Moscow Mathematical Society, Honorary Member, 1995
519:Institute of Mathematical Statistics, Fellow, 1962
297:At the age of 16, in 1940, Dynkin was admitted to
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613:Selected papers of E. B. Dynkin with commentary
305:because of his poor eyesight, and received his
516:Prize of the Moscow Mathematical Society, 1951
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606:Dynkin, Eugene B. (2000). Yushkevich, A. A.;
1183:Fellows of the American Mathematical Society
1153:Collection of interviews assembled by Dynkin
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281:until 1935, when his family was exiled to
230:. He made contributions to the fields of
29:
1062:
1022:
541:Doctor of Science (honoris causa) of the
1138:Department listing at Cornell University
497:International Congress of Mathematicians
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222:; 11 May 1924 – 14 November 2014) was a
1127:MacTutor History of Mathematics Archive
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150:Central Economic Mathematical Institute
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654:. American Mathematical Society. 2004.
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1248:Soviet emigrants to the United States
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354:. In 1977, he became a professor at
1233:Mathematicians from Saint Petersburg
1203:21st-century American mathematicians
1198:20th-century American mathematicians
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723:
646:. AMS Colloquium Publications. 2002.
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381:
334:. He worked there on the theory of
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1193:20th-century Russian mathematicians
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495:Dynkin's one-hour talk at the 1962
378:, aged 90. Dynkin was an atheist.
13:
610:, G. M.; Onishchik, A. L. (eds.).
14:
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1148:Genealogy Tree of Dynkin's School
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532:for Total Mathematical Work, 1993
301:. He avoided military service in
16:Russian mathematician (1924–2014)
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1024:10.1090/S0002-9904-1962-10734-4
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960:. Warwick Mathematics Institute
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753:10.1070/rm1994v049n04abeh002411
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528:American Mathematical Society,
440:Bartel Leendert van der Waerden
1253:Moscow State University alumni
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1111:Mathematics Genealogy Project
1064:10.1090/S0273-0979-04-01002-X
1051:Bull. Amer. Math. Soc. (N.S.)
618:American Mathematical Society
553:American Mathematical Society
417:
1258:People from Saint Petersburg
268:
7:
659:
591:Controlled Markov Processes
471:, "Selected papers", p. 363
10:
1284:
1213:Cornell University faculty
998:Theory of Markov processes
788:"Eugene Borisovich Dynkin"
567:Theory of Markov Processes
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688:Dynkin–Specht–Wever Lemma
434:, based on the papers by
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1218:Jewish American atheists
1132:University of St Andrews
842:Евгений Борисович Дынкин
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798:University of St Andrews
717:
478:exceptional Lie algebras
361:
332:USSR Academy of Sciences
322:USSR Academy of Sciences
220:Евгений Борисович Дынкин
216:Eugene Borisovich Dynkin
45:Eugene Borisovich Dynkin
981:, retrieved 2012-11-10.
273:Dynkin was born into a
1000:by E. B. Dynkin &
864:Cornell Chronicle obit
678:Coxeter–Dynkin diagram
569:. Prentice-Hall. 1961.
474:
391:
1243:Probability theorists
1208:Soviet mathematicians
1011:Bull. Amer. Math. Soc
741:Russian Math. Surveys
673:Affine Dynkin diagram
543:University of Warwick
530:Leroy P. Steele Prize
463:powerful mathematics.
460:
432:semisimple Lie groups
389:
368:Cayuga Medical Center
265:are named after him.
118:Leroy P. Steele Prize
1118:Robertson, Edmund F.
784:Robertson, Edmund F.
616:. Providence, R.I.:
340:economic equilibrium
184:Fridrikh Karpelevich
1116:O'Connor, John J.;
782:O'Connor, John J.;
702:Dynkin's card trick
408:stochastic matrices
390:Eugene Dynkin, 1976
366:Dynkin died at the
188:Stanislav Molchanov
1268:Russian scientists
1091:has a profile for
994:Blumenthal, R. M.
484:Probability theory
400:probability theory
392:
356:Cornell University
277:family, living in
192:Anatoliy Skorokhod
154:Cornell University
1263:Measure theorists
1178:American atheists
1143:Personal web page
1097:
1039:Dawson, Donald A.
921:, p. xiii,7)
627:978-0-8218-1065-1
511:Prizes and awards
382:Mathematical work
316:Andrey Kolmogorov
299:Moscow University
293:Moscow University
213:
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176:Nicolai V. Krylov
172:Doctoral students
166:Andrey Kolmogorov
146:Moscow University
126:Scientific career
108:Moscow University
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196:Nikolai Chentsov
161:Doctoral advisor
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1075:External links
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892:Dynkin (2000
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847:. Retrieved
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683:Dynkin index
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303:World War II
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247:Lie algebras
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142:Institutions
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75:(2014-11-14)
63:Soviet Union
1238:Algebraists
1173:2014 deaths
1168:1924 births
849:16 November
694:Probability
448:root system
404:eigenvalues
232:probability
136:Mathematics
96:Citizenship
55:11 May 1924
1162:Categories
1096:(Q1356831)
428:Lie groups
418:Lie Theory
283:Kazakhstan
243:Lie groups
240:semisimple
218:(Russian:
51:1924-05-11
1043:"Review:
996:"Review:
964:19 August
769:250835688
501:Stockholm
279:Leningrad
269:Biography
59:Leningrad
1041:(2004).
660:See also
505:the West
466:—
376:New York
85:New York
1109:at the
1089:Scholia
761:1309461
665:Algebra
636:1757976
545:, 2003.
458:wrote:
396:algebra
346:Cornell
330:of the
236:algebra
946:. NAS.
767:
759:
634:
624:
555:, 2012
372:Ithaca
275:Jewish
261:, and
257:, the
253:. The
249:, and
224:Soviet
132:Fields
120:(1993)
114:Awards
81:Ithaca
1007:(PDF)
879:(PDF)
765:S2CID
718:Notes
608:Seitz
446:in a
362:Death
287:Gulag
966:2015
851:2014
622:ISBN
438:and
398:and
338:and
234:and
70:Died
41:Born
1059:doi
1019:doi
826:In
749:doi
499:in
406:of
370:in
311:PhD
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
