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Vyacheslav Sazonov
Vyacheslav Vasilievich Sazonov (Вячеслав Васильевич Сазонов, born August 25, 1935, Moscow – February 3, 2002, Moscow) was a Soviet-Russian mathematician, specializing in probability and measure theory. He is known for Sazonov's theorem. Education and career In 1958 he graduated from Moscow State University. There he received in 1961 his Ph.D. under Yuri Prokhorov with thesis "Распределения вероятностей и характеристические функционалы" (Probability distributions and characteristic functionals). Sazonov worked in the Steklov Institute of Mathematics from 1958 to 2002. In 1968 he received his Russian doctorate of sciences (Doctor Nauk) with thesis "Исследования по многомерным и бесконечномерным предельным теоремам теории вероятностей" (Investigations of multidimensional, infinite-dimensional and limit theorems of the theory of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sazonov's Theorem
In mathematics, Sazonov's theorem, named after Vyacheslav Vasilievich Sazonov (), is a theorem in functional analysis. It states that a bounded linear operator between two Hilbert spaces is ''γ''-radonifying if it is a Hilbert–Schmidt operator. The result is also important in the study of stochastic processes and the Malliavin calculus, since results concerning probability measures on infinite-dimensional spaces are of central importance in these fields. Sazonov's theorem also has a converse: if the map is not Hilbert–Schmidt, then it is not ''γ''-radonifying. Statement of the theorem Let ''G'' and ''H'' be two Hilbert spaces and let ''T'' : ''G'' → ''H'' be a bounded operator from ''G'' to ''H''. Recall that ''T'' is said to be ''γ''-radonifying if the push forward of the canonical Gaussian cylinder set measure on ''G'' is a ''bona fide'' measure on ''H''. Recall also that ''T'' is said to be a Hilbert–Schmidt operator if there is an orthonormal basis of ''G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow State University
Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, and six branches. Alumni of the university include past leaders of the Soviet Union and other governments. As of 2019, 13 List of Nobel laureates, Nobel laureates, six Fields Medal winners, and one Turing Award winner were affiliated with the university. History Imperial Moscow University Ivan Shuvalov and Mikhail Lomonosov promoted the idea of a university in Moscow, and Elizabeth of Russia, Russian Empress Elizabeth decreed its establishment on . The first lectures were given on . Saint Petersburg State University and MSU each claim to be Russia's oldest university. Though Moscow State University was founded in 1755, St. Petersburg which has had a continuous existence as a "university" since 1819 sees itself as the successor of an a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuri Prokhorov
Yuri Vasilyevich Prokhorov (; 15 December 1929 – 16 July 2013) was a Soviet and 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 Academy of Sciences of the Soviet Union 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 p ... References * Larry Shepp, "A Conversation with Yuri Vasilyevich Prokhorov", ''Statistical Science'', Vol. 7, No. 1 (February, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steklov Institute Of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Steklov, who in 1919 founded the Institute of Physics and Mathematics in Saint Petersburg, Leningrad. In 1934, this institute was split into separate parts for physics and mathematics, and the mathematical part became the Steklov Institute. At the same time, it was moved to Moscow. The first director of the Steklov Institute was Ivan Matveyevich Vinogradov. From 19611964, the institute's director was the notable mathematician Sergei Chernikov. The old building of the Institute in Leningrad became its Department in Leningrad. Today, that department has become a separate institute, called the ''St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences'' or PDMI RAS, located in Saint Petersburg, Russia. The n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Nauk
A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences degree is having a PhD-equivalent Candidate of Sciences degree beforehand. In addition, the Doctor of Sciences conferral also requires applicants to demonstrate significant and outstanding contributions to their research field. This degree is generally regarded as an honor and recognition for lifetime academic achievements rather than an ordinary academic degree by courses and theses. History The "Doctor of Sciences" degree was introduced in the Russian Empire in 1819 and abolished in 1917. Later it was revived in the USSR on January 13, 1934, by a decision of the Council of People's Commissars of the USSR. By the same decision, a lower degree, "Candidate of Sciences" (''kandidat nauk''), roughly the Russian equivalent to the research doc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before 2022 as the Nevanlinna Prize), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History German mathematicians Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review. ''CMS Notes'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Ranks In Russia
Academic ranks in Russia (also called scientific ranks) are the conferred titles, indicating relative importance and power of professors, researchers, and administrative personnel in Russian academia and scientific institutions. The rank “certifies” the demonstrated ability of an individual to function in the specific academic position(s). Ranks and scientific hierarchy in Russia With respect to professionals involved in teaching and/or research and employed at the universities/research institutes or in industry, there are three attributes: academic (scientific) rank, academic (scientific) degree, and position. Presently conferred academic ranks In Russia, as of 2018, the scientific ranks of a Docent (Associate Professor) and a Professor (Full Professor) were conferred. Detailed information on the ranks can be obtained – in Russian – on the website of the Higher Attestation Commission which is responsible for conferment in the most cases. Often, the word “rank” in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Communist Party Of The Soviet Union
The Communist Party of the Soviet Union (CPSU),. Abbreviated in Russian as КПСС, ''KPSS''. at some points known as the Russian Communist Party (RCP), All-Union Communist Party and Bolshevik Party, and sometimes referred to as the Soviet Communist Party (SCP), was the founding and ruling political party of the Soviet Union. The CPSU was the One-party state, sole governing party of the Soviet Union until 1990 when the Congress of People's Deputies of the Soviet Union, Congress of People's Deputies modified Article 6 of the Soviet Constitution, Article 6 of the 1977 Soviet Constitution, which had previously granted the CPSU a monopoly over the political system. The party's main ideology was Marxism–Leninism. The party was outlawed under Russian President Boris Yeltsin's decree on 6 November 1991, citing the 1991 Soviet coup attempt as a reason. The party started in 1898 as part of the Russian Social Democratic Labour Party. In 1903, that party split into a Menshevik ("mino ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theory Of Probability And Its Applications
A theory is a systematic and rational form of abstract thinking about a phenomenon, or the conclusions derived from such thinking. It involves contemplative and logical reasoning, often supported by processes such as observation, experimentation, and research. Theories can be scientific, falling within the realm of empirical and testable knowledge, or they may belong to non-scientific disciplines, such as philosophy, art, or sociology. In some cases, theories may exist independently of any formal discipline. In modern science, the term "theory" refers to scientific theories, a well-confirmed type of explanation of nature, made in a way consistent with the scientific method, and fulfilling the criteria required by modern science. Such theories are described in such a way that scientific tests should be able to provide empirical support for it, or empirical contradiction ("falsify") of it. Scientific theories are the most reliable, rigorous, and comprehensive form of scientific know ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
USSR State Prize
The USSR State Prize () was one of the Soviet Union’s highest civilian honours, awarded from its establishment in September 1966 until the dissolution of the USSR in 1991. It recognised outstanding contributions in the fields of science, mathematics, literature, the arts, and architecture. History State Stalin Prize (1941–1956) The award traces its origins to the State Stalin Prize (), commonly known as the Stalin Prize, which was established in 1941. It honoured achievements in science, technology, literature, and the arts deemed vital to the Soviet war effort and postwar reconstruction.Volkov, Solomon; Bouis, Antonina W., trans. 2004. ''Shostakovich and Stalin: The Extraordinary Relationship Between the Great Composer and the Brutal Dictator''. New York: Alfred A. Knopf. ISBN 0-375-41082-1. Ceremonies were suspended during 1944–45 and then held twice in 1946 (January for works from 1943–44; June for 1945 works). USSR State Prize (1966–1991) By 1966, the Stalin Prize h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1935 Births
Events January * January 7 – Italian premier Benito Mussolini and French Foreign Minister Pierre Laval conclude Franco-Italian Agreement of 1935, an agreement, in which each power agrees not to oppose the other's Colonial empire, colonial claims. * January 12 – Amelia Earhart becomes the first person to successfully complete a solo flight from Hawaii to California, a distance of . * January 13 – A plebiscite in the Saar (League of Nations), Territory of the Saar Basin shows that 90.3% of those voting wish to join Germany. * January 24 – The first canned beer is sold in Richmond, Virginia, United States, by Gottfried Krueger Brewing Company. February * February 6 – Parker Brothers begins selling the board game Monopoly (game), Monopoly in the United States. * February 13 – Richard Hauptmann is convicted and sentenced to death for the kidnapping and murder of Charles Lindbergh Jr. in the United States. * February 15 – The discovery and clinical developme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2002 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
