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Kolmogorov 0-1 Law
Andrey Nikolaevich Kolmogorov ( rus, Андре́й Никола́евич Колмого́ров, p=ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf, a=Ru-Andrey Nikolaevich Kolmogorov.ogg, 25 April 1903 – 20 October 1987) was a Soviet mathematician who contributed to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity. Biography Early life Andrey Kolmogorov was born in Tambov, about 500 kilometers south-southeast of Moscow, in 1903. His unmarried mother, Maria Y. Kolmogorova, died giving birth to him. Andrey was raised by two of his aunts in Tunoshna (near Yaroslavl) at the estate of his grandfather, a well-to-do nobleman. Little is known about Andrey's father. He was supposedly named Nikolai Matveevich Kataev and had been an agronomist. Kataev had been exiled from St. Petersburg to the Yaroslavl province after his participation in the revolutionary ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tambov
Tambov (, ; rus, Тамбов, p=tɐmˈbof) is a types of inhabited localities in Russia, city and the administrative center of Tambov Oblast, Central Federal District, central Russia, at the confluence of the Tsna River (Moksha basin), Tsna and Studenets Rivers, about south-southeast of Moscow. Population: 280,161 (Russian Census (2010), 2010 Census); 293,658 (Russian Census (2002), 2002 Census); Etymology The name "Tambov" originates from the Moksha language, Mokshan word( mdf, томбале, tombale, the other side, the remote one) Geography Urban layout In terms of its layout, Tambov was no different from other fortified cities - the Kremlin, the prison and a small settlement. The chosen place was in full compliance with the requirements of the fortification. From the north and east, the new fortress was washed by rivers, and from the west and south it was protected by artificial ditches filled with water by the Studenets River. The Kremlin was surrounded by a six-meter w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Valery Vasilevich Kozlov
Valery Vasilevich Kozlov (Валерий Васильевич Козлов, born 1 January 1950 in Ryazan Oblast) is a Russian mathematician and mathematical physicist. Education and career Kozlov studied from 1967 at the Moscow State University with his undergraduate degree in 1972 and his Candidate of Sciences degree in 1974 under Andrei Kolmogorov with thesis Качественное исследование движения тяжёлого твёрдого тела в интегрируемых случаях (Qualitative study of the motion of a heavy rigid body in integrable cases). At Moscow State University he was a lecturer and assistant and completed in 1978 his Russian Doctor of Sciences degree (habilitation) in 1978 with thesis Вопросы качественного анализа в динамике твёрдого тела (Questions of qualitative analysis in the dynamics of a rigid body). At Moscow State University he became in 1983 a professor of theoretical m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probability ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vladimir Vovk
Vladimir Vovk is a British computer scientist, and professor at Royal Holloway University of London. He is the co-inventor of Conformal prediction. He is the co-director of the Centre for Machine Learning at Royal Holloway University of London, and a Fellow of the Royal Statistical Society. Career Vovk started working as a researcher in the Russian Academy of Sciences, then became a Fellow in the Center for Advanced Study in the Behavioral Sciences at Stanford University. He was appointed as a professor of Computer Science at Royal Holloway and Bedford New College, where he currently serves as co-director of the Centre for Machine Learning. Early in his career, Vovk was heavily involved in the development of the foundations of probability, along with Glenn Shafer. Their work has resulted in a book, Probability and Finance: It's Only a Game!, published in 2001, which was subsequently translated into Japanese in 2006 by Masayuki Kumon and edited by Kei Takeuchi. In 2005, he co- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Akiva Yaglom
Akiva Moiseevich Yaglom (russian: Аки́ва Моисе́евич Ягло́м; 6 March 1921 – 13 December 2007) was a Soviet and Russian physicist, mathematician, statistician, and meteorologist. He was known for his contributions to the statistical theory of turbulence and theory of random processes. Yaglom spent most of his career in Russia working in various institutions, including the Institute of Theoretical Geophysics. From 1992 until his death, Yaglom worked at the Massachusetts Institute of Technology as a research fellow in the Department of Aeronautics and Astronautics. He authored several popular books in mathematics and probability, some of them with his twin brother and mathematician Isaak Yaglom. Education and career Akiva Yaglom was born on 6 March 1921 in Kharkiv, Ukraine to the family of an engineer. He had a twin brother Isaak. The family moved to Moscow when the Yaglom brothers were five years old. During their school years they were keen on mathematics. In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vladimir Andreyevich Uspensky
Vladimir Andreyevich Uspensky (Russian: Влади́мир Андре́евич Успе́нский; 27 November 1930 – 27 June 2018) was a Russian mathematician, linguist, writer, doctor of physics and mathematics (1964). He was the author of numerous papers on mathematical logic and linguistics. In addition, he also penned a number of memoir essays. Uspensky initiated a reform of linguistic education in Russia. Biography Uspensky graduated in 1952 from the MSU Faculty of Mechanics and Mathematics (Lomonosov Moscow State University). He was a student of Andrey Kolmogorov. He was the head of the Chair of Mathematical Logic and Theory of Algorithms in the MSU Faculty of Mechanics and Mathematics (1995) and one of the founders of the Structural Linguistics branch (now the Theoretical and Applied Linguistics branch) in the MSU Faculty of Philology, where he also taught. He was the author of many books and of over 100 research papers. He prepared 25 candidate A candidate, or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anatoli Georgievich Vitushkin
Anatoli Georgievich Vitushkin (russian: Анато́лий Гео́ргиевич Виту́шкин) (June 25, 1931 – May 9, 2004) was a Soviet mathematician noted for his work on analytic capacity and other parts of mathematical analysis. Early life Anatoli Georgievich Vitushkin was born on 25 June 1931 in Moscow. He was blind. Career He entered Moscow State University in 1949 after graduating from the Tula Suvorov Military School where mathematics was taught as part of a broader education for potential officers. He graduated in 1954. He studied under Andrey Kolmogorov and benefited from participation in Alexander Kronrod's circle. He joined the Steklov Institute of Mathematics staff in 1965. For many years he was a member of the Editorial board of the Russian journal; ''Mathematical Notes ''Mathematical Notes'' is a peer-reviewed mathematical journal published by Springer Science+Business Media on behalf of the Russian Academy of Sciences that covers all aspects of ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Albert Shiryaev
Albert Nikolayevich Shiryaev (russian: Альбе́рт Никола́евич Ширя́ев; born October 12, 1934) is a Soviet and Russian mathematician. He is known for his work in probability theory, statistics and financial mathematics. Career He graduated from Moscow State University in 1957. From that time until now he has been working in Steklov Mathematical Institute. He earned his candidate degree in 1961 (Andrey Kolmogorov was his advisor) and a doctoral degree in 1967 for his work "On statistical sequential analysis". He is a professor of the department of mechanics and mathematics of Moscow State University, since 1971. Shiryaev holds a 20% permanent professorial position at the School of Mathematics, University of Manchester. He has supervised more than 50 doctoral dissertations and is the author or coauthor of more than 250 publications. In 1970 he was an Invited Speaker with talk ''Sur les equations stochastiques aux dérivées partielles'' at the Internationa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yakov Sinai
Yakov Grigorevich Sinai (russian: link=no, Я́ков Григо́рьевич Сина́й; born September 21, 1935) is a Russian-American mathematician known for his work on dynamical systems. He contributed to the modern metric theory of dynamical systems and connected the world of deterministic (dynamical) systems with the world of probabilistic (stochastic) systems. He has also worked on mathematical physics and probability theory. His efforts have provided the groundwork for advances in the physical sciences. Sinai has won several awards, including the Nemmers Prize, the Wolf Prize in Mathematics and the Abel Prize. He serves as the professor of mathematics at Princeton University since 1993 and holds the position of Senior Researcher at the Landau Institute for Theoretical Physics in Moscow, Russia. Biography Yakov Grigorevich Sinai was born into a Russian Jewish academic family on September 21, 1935, in Moscow, Soviet Union (now Russia). His parents, Nadezda Kag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuri Vasilevich Prokhorov
Yuri Vasilyevich Prokhorov (russian: Ю́рий Васи́льевич Про́хоров; 15 December 1929 – 16 July 2013) was a Russian mathematician, active in the field of probability theory. He was a PhD student of Andrey Kolmogorov at the Moscow State University, where he obtained his PhD in 1956. Prokhorov became a corresponding member of the Russian Academy of Sciences in 1966, a full member in 1972. He was a vice-president of the IMU. He received Lenin Prize in 1970, Order of the Red Banner of Labour in 1975 and 1979. He was also an editor of the Great Soviet Encyclopedia. See also * Lévy–Prokhorov metric * Prokhorov's theorem In measure theory Prokhorov's theorem relates tightness of measures to relative compactness (and hence weak convergence) in the space of probability measures. It is credited to the Soviet mathematician Yuri Vasilyevich Prokhorov, who considered ... References * Larry Shepp, "A Conversation with Yuri Vasilyevich Prokhorov", ''Stat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Obukhov
Alexander Mikhailovich Obukhov (russian: Алекса́ндр Миха́йлович Обу́хов) (5 May 1918 – 3 December 1989) was a Russian physicist and applied mathematician known for his contributions to statistical theory of turbulence and atmospheric physics. He was one of the founders of modern boundary layer meteorology. He served as the Head of the theoretical department at Sternberg Astronomical Institute, a division of Moscow State University. Obukhov's 1946 fundamental paper on a universal length scale for exchange processes in the surface layer was the basis for the derivation of the Monin–Obukhov similarity theory in 1954. The Monin–Obukhov similarity theory and the Monin–Obukhov Length are named after him and Russian Academician Andrei Monin. Early life and education Obukhov was born on 5 May 1918 in Saratov, a city situated in the Volga's drainage basin. He finished high school in 1934 but could not write the entrance examination of Saratov Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sergey Nikolsky
Sergey Mikhailovich Nikolsky (russian: link=no, Серге́й Миха́йлович Нико́льский; 30 April 1905 – 9 November 2012) was a Russian mathematician. He was born in Talitsa, which was at that time located in Kamyshlovsky Uyezd, Perm Governorate, Russian Empire. He had been an Academician since November 28, 1972. He also had won many scientific awards. At the age of 92 he was still actively giving lectures in Moscow Institute of Physics and Technology. In 2005, he was only giving talks at scientific conferences, but was still working in MIPT, at the age of 100. He died in Moscow in November 2012 at the age of 107. Scientific activities Nikolsky made fundamental contributions to functional analysis, approximation of functions, quadrature formulas, enclosed functional spaces and their applications to variational solutions of partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations betw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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