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Mikhail Lyubich
Mikhail Lyubich (born 25 February 1959 in Kharkiv, Ukraine) is a mathematician who made important contributions to the fields of holomorphic dynamics and chaos theory. Lyubich graduated from Kharkiv University with a master's degree in 1980, and obtained his PhD from Tashkent University in 1984. Currently, he is a Professor of Mathematics at Stony Brook University and the Director of the Institute of Mathematical Sciences at Stony Brook. From 2002-2008, he also held a position of Canada Research Chair at the University of Toronto. He is credited with several important contributions to the study of dynamical systems. In his 1984 Ph.D. thesis, he proved fundamental results on ergodic theory and the structural stability of rational mapping. Due to this work, the measure of maximal entropy of a rational map (the Mané-Lyubich measure) bears his name. In 1999, he published the first non-numerical proof of the universality of the Feigenbaum constants in chaos theory. He receive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kharkiv
Kharkiv ( uk, wikt:Харків, Ха́рків, ), also known as Kharkov (russian: Харькoв, ), is the second-largest List of cities in Ukraine, city and List of hromadas of Ukraine, municipality in Ukraine.Kharkiv "never had eastern-western conflicts" ''Euronews'' (23 October 2014) Located in the northeast of the country, it is the largest city of the historic Sloboda Ukraine, Slobozhanshchyna region. Kharkiv is the administrative centre of Kharkiv Oblast and of the surrounding Kharkiv Raion. The latest population is Kharkiv was founded in 1654 as Kharkiv fortress, and after these humble beginnings, it grew to be a major centre of industry, trade and Ukrainian culture in the Russian Empire. At the beginning of the 20th century, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Mapping
In mathematics, in particular the subfield of algebraic geometry, a rational map or rational mapping is a kind of partial function between algebraic varieties. This article uses the convention that varieties are irreducible. Definition Formal definition Formally, a rational map f \colon V \to W between two varieties is an equivalence class of pairs (f_U, U) in which f_U is a morphism of varieties from a non-empty open set U\subset V to W, and two such pairs (f_U, U) and (_, U') are considered equivalent if f_U and _ coincide on the intersection U \cap U' (this is, in particular, vacuously true if the intersection is empty, but since V is assumed irreducible, this is impossible). The proof that this defines an equivalence relation relies on the following lemma: * If two morphisms of varieties are equal on some non-empty open set, then they are equal. f is said to be birational if there exists a rational map g \colon W \to V which is its inverse, where the composition is ta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stony Brook University Faculty
Stony may refer to: Places * Stony Brook (other) * Stony Creek (other) * Stony Lake (other) * Stony River (other) * Stony Island (other) * Stony Point (other) * Stony Mountain (Missouri) * Stony Down, a hill and an area of forested countryside in the county of Dorset, England * Stony Pass, a mountain pass in the San Juan Mountains of southwest Colorado Other uses * Stony (rapper) (born 1995), Icelandic actor and rapper * Stony Awards, also known as "the Stonys", recognizing the "highest and stoniest" movies and TV shows of the year * Stony Stratford Stony Stratford is a constituent town of Milton Keynes, Buckinghamshire, England. Historically it was a market town on the important route from London to Chester ( Watling Street, now the A5). It is also the name of a civil parish with a town ..., or "Stony", part of Milton Keynes See also * Stoney (other) * Stonys, a Lithuanian family name {{disambiguat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National University Of Kharkiv Alumni
National may refer to: Common uses * Nation or country ** Nationality – a ''national'' is a person who is subject to a nation, regardless of whether the person has full rights as a citizen Places in the United States * National, Maryland, census-designated place * National, Nevada, ghost town * National, Utah, ghost town * National, West Virginia, unincorporated community Commerce * National (brand), a brand name of electronic goods from Panasonic * National Benzole (or simply known as National), former petrol station chain in the UK, merged with BP * National Car Rental, an American rental car company * National Energy Systems, a former name of Eco Marine Power * National Entertainment Commission, a former name of the Media Rating Council * National Motor Vehicle Company, Indianapolis, Indiana, USA 1900-1924 * National Supermarkets, a defunct American grocery store chain * National String Instrument Corporation, a guitar company formed to manufacture the first resonato ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ukrainian Mathematicians
This a list of the best known Ukrainian mathematicians. This list includes some Polish, pre-revolutionary Russian and Soviet mathematicians who lived or worked in Ukraine. __NOTOC__ {{compact ToC, side=yes, top=yes, num=yes A * Akhiezer, Naum Ilyich (1901–1980) B * Bernstein, Sergei Natanovich (1880–1968) * Borok, Valentina Mikhailovna (1931–2004) * Berlyand, Leonid Viktorovich (b. 1957) D * Dorohovtsev, Anatoliy Yakovych (1935–2004) * Drinfeld, Volodymyr Gershonovych (b. 1954) E * Eremenko, Oleksandr Emmanuilovich (b. 1954) G * Geronimus, Yakov Lazarevich (1898–1984) * Glushkov, Victor Mihailovich (1923–1982) * Goldberg, Anatolii Asirovich (1930–2008) * Grave, Dmytro Olexandrovych (1863–1939) K * Kadets, Mikhail Iosiphovich (1923–2011) * Korolyuk, Volodymyr Semenovych (1925–2020) * Kovalenko, Ihor Mykolayovych (b. 1935) * Kondratiev, Yuri (b. 1953) * Koshmanenko, Volodymyr Dmytrovych (b. 1943) * Kravchuk, Myhailo Pylypovych ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seoul
Seoul (; ; ), officially known as the Seoul Special City, is the capital and largest metropolis of South Korea.Before 1972, Seoul was the ''de jure'' capital of the Democratic People's Republic of Korea (North Korea) as stated iArticle 103 of the 1948 constitution. According to the 2020 census, Seoul has a population of 9.9 million people, and forms the heart of the Seoul Capital Area with the surrounding Incheon metropolis and Gyeonggi province. Considered to be a global city and rated as an Alpha – City by Globalization and World Cities Research Network (GaWC), Seoul was the world's fourth largest metropolitan economy in 2014, following Tokyo, New York City and Los Angeles. Seoul was rated Asia's most livable city with the second highest quality of life globally by Arcadis in 2015, with a GDP per capita (PPP) of around $40,000. With major technology hubs centered in Gangnam and Digital Media City, the Seoul Capital Area is home to the headquarters of 15 ''Fortun ... [...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 Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the 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 invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History 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'', vol 31, no. 3, April 1999, pp. 3-5 The University of Chicago, which had opened in 1892, organized an International Mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the '' Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Mathematical Society
The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the national community through the publication of academic journals, community bulletins, and the administration of mathematical competitions. It was originally conceived in June 1945 as the Canadian Mathematical Congress. A name change was debated for many years; ultimately, a new name was adopted in 1979, upon its incorporation as a non-profit charitable organization. The society is also affiliated with various national and international mathematical societies, including the Canadian Applied and Industrial Mathematics Society and the Society for Industrial and Applied Mathematics. The society is also a member of the International Mathematical Union and the International Council for Industrial and Applied Mathematics. History The Canadian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jeffery–Williams Prize
The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was presented in 1968. The prize was named in honor of the mathematicians Ralph Lent Jeffery and Lloyd Williams. Recipients of the Jeffery–Williams Prize SourceCanadian Mathematical Society See also * List of mathematics awards This list of mathematics awards is an index to articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the wo ... References External links Canadian Mathematical Society {{DEFAULTSORT:Jeffery-Williams Prize Awards of the Canadian Mathematical Society Awards established in 1968 1968 establishments in Canada ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Feigenbaum Constants
In mathematics, specifically bifurcation theory, the Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map. They are named after the physicist Mitchell J. Feigenbaum. History Feigenbaum originally related the first constant to the period-doubling bifurcations in the logistic map, but also showed it to hold for all one-dimensional maps with a single quadratic maximum. As a consequence of this generality, every chaotic system that corresponds to this description will bifurcate at the same rate. Feigenbaum made this discovery in 1975, and he officially published it in 1978. The first constant The first Feigenbaum constant is the limiting ratio of each bifurcation interval to the next between every period doubling, of a one-parameter map :x_ = f(x_i), where is a function parameterized by the bifurcation parameter . It is given by the limit :\delta = \lim_ \frac = 4.669\,201\,609\,\ldots, where are discr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
