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Russian mathematician (1924–2014)
Eugene Borisovich Dynkin (Russian: Евгений Борисович Дынкин; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. He made contributions
Eugene_Dynkin
Pictorial representation of symmetry
theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). Dynkin diagrams
Dynkin_diagram
Theorem in stochastic analysis
fundamental theorem of calculus. It is named after the Russian mathematician Eugene Dynkin. Let X {\displaystyle X} be a Feller process with infinitesimal generator
Dynkin's_formula
Family closed under complements and countable disjoint unions
A Dynkin system, named after Eugene Dynkin, is a collection of subsets of another universal set Ω {\displaystyle \Omega } satisfying a set of axioms weaker
Dynkin_system
Surname list
Aleksandr Dynkin (born 1948), Russian economist Eugene Dynkin (1924–2014), Soviet and American mathematician known for Dynkin diagram Coxeter–Dynkin diagram
Dynkin
Pictorial representation of symmetry
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter
Coxeter–Dynkin_diagram
Statement in probability theory
In probability theory, the Doob–Dynkin lemma, named after Joseph L. Doob and Eugene Dynkin (also known as the factorization lemma), characterizes the situation
Doob–Dynkin_lemma
Formula in Lie theory
actual explicit formula, with all numerical coefficients, is due to Eugene Dynkin (1947). The history of the formula is described in detail in the article
Baker–Campbell–Hausdorff formula
Baker–Campbell–Hausdorff_formula
independently in the same year by K. E. Dambis, a doctoral student of Eugene Dynkin. Let M 0 , loc c {\displaystyle {\mathcal {M}}_{0,\operatorname {loc}
Dubins–Schwarz_theorem
Soviet American mathematician
thesis On one problem from the diffusion process theory supervised by Eugene Dynkin. At MSU Molchanov graduated in 1967 with Russian Candidate degree (Ph
Stanislav_Molchanov
Formula in Lie group theory
Sternberg 2004 Section 1.2. Dynkin 1947 Rossmann 2002 Chapter 2. Hall 2015 Chapter 5. Sternberg 2004 Chapter 1.12.2. Dynkin, Eugene Borisovich (1947), "Вычисление
Derivative of the exponential map
Derivative_of_the_exponential_map
Geometric arrangements of points, foundational to Lie theory
Irreducible root systems correspond to certain graphs, the Dynkin diagrams named after Eugene Dynkin. The classification of these graphs is a simple matter
Root_system
Soviet mathematician (1903–1987)
Vladimir Arnold Sergei N. Artemov Grigory Barenblatt Roland Dobrushin Eugene Dynkin Israil Gelfand Boris Gnedenko Leonid Levin Valerii Kozlov Per Martin-Löf
Andrey_Kolmogorov
Card trick and probabilistic concept
Kruskal count (also known as Kruskal's principle, Dynkin–Kruskal count, Dynkin's counting trick, Dynkin's card trick, coupling card trick or shift coupling)
Kruskal_count
Conversation of Eugene Dynkin with Sergei Kuznetsov, Ithaca, New York, July 25, 1999 https://dynkincollection.library.cornell.edu/sites/default/files/Dynkin
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Random process independent of past history
processes include William Feller, starting in 1930s, and then later Eugene Dynkin, starting in the 1950s. Mark V. Shaney is a third-order Markov chain
Markov_chain
Russian-American probability theorist
earned a candidate's degree there in 1962, under the supervision of Eugene Dynkin. In 1970 he completed a doctorate. However, growing anti-semitism in
Mark_Freidlin
1968 book by Robert M. Blumenthal and Ronald K. Getoor
University of Washington, where he met Getoor. In a 1980 interview with Eugene Dynkin, Getoor said that he and Blumenthal began studying Hunt's papers together
Markov Processes and Potential Theory
Markov_Processes_and_Potential_Theory
Matrix used to describe the transitions of a Markov chain
posed by Kolmogorov and partially addressed by Nikolay Dmitriyev and Eugene Dynkin. Additionally, every right stochastic matrix has an "obvious" column
Stochastic_matrix
(1920–2010) Richard M. Dudley (1938–2020) Hugo Duminil-Copin (born 1985) Eugene Dynkin (1924–2014) Robert J. Elliott (born 1940) Paul Erdős (1913–1996) Alison
List of mathematical probabilists
List_of_mathematical_probabilists
French-American mathematician (1924–2010)
(Web of Stories). Interview (1 January 1981, Ithaca, NY) held by the Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library. Video
Benoit_Mandelbrot
Horton Conway Ivan Ilich Danilyuk [ru] Pierre Deligne Aryeh Dvoretzky Eugene Dynkin David Gregory Ebin David Albert Edwards James Eells J. V. Egorov Kenneth
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
Family of sets closed under intersection
consequence of the fact that the π-𝜆 theorem was proven by the probabilist Eugene Dynkin. Standard measure theory texts typically prove the same results via
Pi-system
Prize (1962) Harry Dym (1938–2024), functional and numerical analysis Eugene Dynkin (1924–2014), probability and algebra; Steele Prize (1993) Abraham Eberlen
List_of_Jewish_mathematicians
mathematicians Vladimir Drinfeld, mathematician, Fields Medal (1990) Eugene Dynkin, mathematician Paul Sophus Epstein, mathematician Felix Gantmacher,
List of Jews born in the Russian Empire and the Soviet Union
List_of_Jews_born_in_the_Russian_Empire_and_the_Soviet_Union
Soviet and Russian mathematician (1933–2019)
groups and their geometrical applications. Onishchik was a student of Eugene Dynkin, under whose guidance he got his PhD at Moscow State University in 1960
Arkady_Onishchik
Ukrainian American mathematician
career Fields Mathematics, Stochastic differential equations, Markovian processes Institutions Michigan State University Academic advisors Eugene Dynkin
Anatoliy_Skorokhod
Russian-American mathematician
(similar to Ph.D.) from the Steklov Institute in Moscow with advisor Eugene Dynkin. He taught from 1961 as a docent at Moscow State University and from
Alexander_D._Wentzell
Direct sum of simple Lie algebras
subsequently refined, and the present classification by Dynkin diagrams was given by then 22-year-old Eugene Dynkin in 1947. Some minor modifications have been made
Semisimple_Lie_algebra
Canadian geometer (1907–2003)
connecting them. These diagrams are known as the Dynkin diagram, named for Soviet–American mathematician Eugene Dynkin, describing the families of finite-dimensional
H.S.M._Coxeter
Public high school in Nanuet, New York, United States
September 18, 2024. "Interview conducted by Eugene Dynkin with Joseph Glover January 1987 in Ithaca, New York at Dynkin's home", ecommons.cornell.edu, Cornell
Nanuet_Senior_High_School
Collection of random variables
processes include William Feller, starting in the 1930s, and then later Eugene Dynkin, starting in the 1950s. Lévy processes such as the Wiener process and
Stochastic_process
ADHM construction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin lemma and Dynkin system in algebra and probability Leonhard
List_of_Russian_scientists
Soviet mathematician (1905–1938)
earlier in his career. On the other hand, according to an interview Eugene Dynkin gave in 1988, Schnirelman took his own life after the NKVD tried to
Lev_Schnirelmann
ADHM construction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin lemma and Dynkin system in algebra and probability Dmitri
List of Russian mathematicians
List_of_Russian_mathematicians
Russian mathematician
processes. Krylov studied at Lomonosov University, where he in 1966 under E. B. Dynkin attained a doctoral candidate title (similar to a PhD) and in 1973 a Russian
Nikolay Krylov (mathematician, born 1941)
Nikolay_Krylov_(mathematician,_born_1941)
Dugundji Rafal E. Dunin-Borkowski Jon Michael Dunn Marcus du Sautoy Eugene Dynkin John Eccles Beno Eckmann Jean-Pierre Eckmann Alan Edelman William Edge
List of people by Erdős number
List_of_people_by_Erdős_number
Russian mathematician (1937–2020)
Fields Mathematics Institutions Moscow State University Doctoral advisor Eugene Dynkin Ilya Piatetski-Shapiro Doctoral students Victor Kac Ivan Losev Boris
Ernest_Vinberg
Day of the year
2013 – Bennett Masinga, South African footballer (born 1965) 2014 – Eugene Dynkin, Russian-American mathematician and theorist (born 1924) 2014 – Glen
November_14
{\displaystyle X} is called a "standard process", a term that was introduced by Eugene Dynkin. The book Markov Processes and Potential Theory (1968) by Blumenthal
Hunt_process
ADHM construction, Fields Medal winner Eugene Dynkin, developed Dynkin diagram, Doob–Dynkin lemma and Dynkin system in algebra and probability Leonhard
List_of_Russian_people
Drinfeld - Soviet-American mathematician; winner of the Fields Medal 1990 Eugene Dynkin - Soviet-American mathematician, Leroy P. Steele Prize (1993) Messoud
List of Moscow State University people
List_of_Moscow_State_University_people
American mathematician
1214/aop/1176990851. "Interview conducted by Eugene Dynkin with Joseph Glover January 1987 in Ithaca, New York at Dynkin's home", Cornell University, 01:47–03:30
Joseph_Glover
Israeli mathematician (1916–2008)
Webpage at the Weitzmann Institute 1966 interview in Moscow, Russia; Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library.
Aryeh_Dvoretzky
Byrne, American lawyer and politician, 50th Mayor of Chicago (b. 1933) Eugene Dynkin, Russian-born American mathematician (b. 1924) Glen A. Larson, television
2014_in_the_United_States
Russian-American mathematician
Brown University, retrieved 2011-05-08. [1], Boris Rozovsky Interview, Dynkin Collection at Cornell University, retrieved 2012-06-20 List of Fellows Archived
Boris_Rozovsky
Solution to a specific type of stochastic differential equation
[}M_{s}{\big |}F_{s}{\big ]}=M_{s},} since Ms is Fs-measurable. Dynkin's formula, named after Eugene Dynkin, gives the expected value of any suitably smooth statistic
Itô_diffusion
Russian mathematician
2010 at the Wayback Machine 1990 Moscow Interview with Adelson-Velsky, Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library (in
Georgy_Adelson-Velsky
Past and present Cornell University faculty
fellow, recipient of the Frederick W. Lanchester Prize of INFORMS (2007) Eugene Dynkin (professor) — mathematician Walter T. Federer (professor of Biological
List of Cornell University faculty
List_of_Cornell_University_faculty
Russian mathematician (1930–1992)
his studies in the circle under the guidance of a graduate student Eugene Dynkin, who later became his thesis advisor. In 1947, Chentsov entered the
Nikolai_Chentsov
Russian mathematician (1896-1966)
original (PDF) on 2006-07-19. 1965 Moscow Interview with Sofya Yanovskaya, Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library (in
Sofya_Yanovskaya
2002) 18 April – Pyotr Nikolayev, Olympic shooter (died 2000) 11 May – Eugene Dynkin, mathematician (died 2014) 21 May – Boris Vasilyev, writer (died 2013)
1924_in_the_Soviet_Union
78-dimensional exceptional simple Lie group
cohomology (over a perfect field k) by the set H1(k, Aut(E6)) which, because the Dynkin diagram of E6 (see below) has automorphism group Z/2Z, maps to H1(k, Z/2Z)
E6_(mathematics)
of Technology 1946 Vladimir Drinfeld The University of Chicago 2016 Eugene Dynkin (died 2014) Cornell University 1985 Samuel Eilenberg (died 1998) Columbia
List of members of the National Academy of Sciences (mathematics)
List_of_members_of_the_National_Academy_of_Sciences_(mathematics)
jumper and decathlete. Tulio Halperín Donghi, 88, Argentine historian. Eugene Dynkin, 90, Soviet-born American mathematician. Bobby Epps, 82, American football
Deaths_in_November_2014
French mathematician
Combinatorics, 1996 Interview with Foata (January 17, 1978, Solana Beach, CA), Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library. v
Dominique_Foata
Grothendieck, 86, German-born French mathematician (b. 1928) 14 November – Eugene Dynkin, 90, Russian-American mathematician and academic (b. 1924) 16 November
2014_in_Europe
Simple Lie group; the automorphism group of the octonions
−1). It has a non-algebraic double cover that is simply connected. The Dynkin diagram for G2 is given by . Its Cartan matrix is: [ 2 − 3 − 1 2 ] {\displaystyle
G2_(mathematics)
American mathematician (1904–1988)
91/147 cz, retrieved July 9, 2011. Dynkin, Eugene B. (October 7, 1981), Hans Lewy Interview October 7, 1981, Eugene B. Dynkin Collection of Mathematics Interviews
Hans_Lewy
Turkish-American mathematician and academic
American Men and Women of Science, Thomson Gale 2004 ""Erhan Çinlar", Eugene B. Dynkin Collection of Mathematics Interviews". Cornell University Library.
Erhan_Çınlar
Japanese mathematician
S2CID 119152446. {{cite book}}: |journal= ignored (help) Gisiro Maruyama / Eugene B. Dynkin Collection of Mathematic Interviews / Cornell University Library v
Gisiro_Maruyama
Mathematical group
over the complex numbers has a diagram automorphism given by reversing the Dynkin diagram An (which corresponds to taking the transpose inverse), and a field
Group_of_Lie_type
American mathematician (1944–2018)
mathematician who explored chaos theory, dies at 73", The Washington Post. Eugene B. Dynkin: Collection of Mathematical Interviews Penn State Center for Dynamics
Anatole_Katok
Russian–American mathematician
became fellows of the American Mathematical Society. Svetlana Katok, Eugene B. Dynkin Collection of Mathematics Interviews, Cornell University, January 1981
Svetlana_Katok
Polygon with 65537 sides
Geometry, 2nd ed. New York: Wiley, 1969. Chapter 2, Regular polygons Leonard Eugene Dickson Constructions with Ruler and Compasses; Regular Polygons Ch. 8 in
65537-gon
American mathematician (1910–2004)
(3–4): 163–176. doi:10.5802/aif.577. Martingale (probability theory) Doob–Dynkin lemma Doob's h-transform Doob martingale Doob's martingale convergence theorems
Joseph_L._Doob
principle – Wallace Henry Coulter Coxeter–Dynkin diagram – Harold Scott MacDonald Coxeter and Eugene Borisovich Dynkin Crabtree effect – Herbert Grace Crabtree
Scientific phenomena named after people
Scientific_phenomena_named_after_people
Theorem classifying finite simple groups
simple groups similar to the parameterization of the compact Lie groups by Dynkin diagrams. Atiyah and others have suggested that the classification ought
Classification of finite simple groups
Classification_of_finite_simple_groups
10-pointed star polygon
Star polygons p.36-38 The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Decagram_(geometry)
{g}}=D^{n-1}{\mathfrak {g}}} . Dynkin 1. Eugene Borisovich Dynkin (1924 – 2014), a Soviet and American mathematician 2. Dynkin diagrams. extension An exact
Glossary of Lie groups and Lie algebras
Glossary_of_Lie_groups_and_Lie_algebras
Polygon with 12 edges
polygon pp. 275–278) The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Dodecagon
Star polygon
Retrieved 2024-10-31. The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Octagram
Polygon with 257 sides
Geometry, 2nd ed. New York: Wiley, 1969. Chapter 2, Regular polygons Leonard Eugene Dickson Constructions with Ruler and Compasses; Regular Polygons. Ch. 8
257-gon
Algebraic structure used in analysis
Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308. Wigner, Eugene (1959). Group Theory and its Application to the Quantum Mechanics of Atomic
Lie_algebra
Physics-mathematics connection
particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties of elementary particles to the structure
Particle physics and representation theory
Particle_physics_and_representation_theory
Polygon with 14 edges
Association, 1983. The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Tetradecagon
Polygon with 20 edges
Thirteenth edition, p.141 The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Icosagon
Polygon with 24 edges
Thirteenth edition, p.141 The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Icositetragon
Polygon with 16 edges
Thirteenth edition, p.141 The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Hexadecagon
Branch of mathematics that studies abstract algebraic structures
notably through the analysis of representations of the Poincaré group by Eugene Wigner. One of the pioneers in constructing a general theory of unitary
Representation_theory
Polygon with 15 edges
polygon pp. 275-278) The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Pentadecagon
Polygon with 30 edges
Thirteenth edition, p.141 The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Triacontagon
Polygon with 18 edges
Parker & Son, p. 134. The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History,
Octadecagon
Concept in probability theory
nonlinear PDE's is similar to the one between diffusions and linear PDE's. Eugene B. Dynkin (2004). Superdiffusions and positive solutions of nonlinear partial
Superprocess
Awarded every year by the American Mathematical Society
Phillips 1996 Goro Shimura 1995 John T. Tate 1994 Louis Nirenberg 1993 Eugene B. Dynkin List of mathematics awards List of awards named after people "AMS ::
Leroy_P._Steele_Prize
Use of mathematical groups in magnetochemistry
of SU(2), the irreducible representations of Γ are labelled by extended Dynkin diagrams of type A, D and E; the rules for tensoring with the two-dimensional
Finite_subgroups_of_SU(2)
consultant Killed by a roadside bomb in Baghdad May 25, 2004 Russian Viktor Dynkin, Vyacheslav Ovsyannikov InterEnergoServis Power plant technicians Killed
List of private contractor deaths in Iraq
List_of_private_contractor_deaths_in_Iraq
Representation theory of the symmetries of non-relativistic quantum space
projective representations. This is called the little group, a name given by Eugene Wigner. His method of induced representations specifies that the irrep is
Representation theory of the Galilean group
Representation_theory_of_the_Galilean_group
Probabilistic problem-solving algorithms
1845. doi:10.1080/07362994.2011.598797. ISSN 0736-2994. S2CID 303252. Dynkin, Eugène, B. (1994). An Introduction to Branching Measure-Valued Processes. CRM
Mean-field_particle_methods
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