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Laurent Saloff-Coste
Laurent Saloff-Coste (born 1958) is a French mathematician whose research is in Analysis, Probability theory, and Geometric group theory. Saloff-Coste received his "doctorat de 3eme cycle" in 1983 at the Pierre and Marie Curie University, Paris VI. He completed his "Doctorat d'Etat" in 1989 under Nicholas Varopoulos. In the 1990s, he worked as "Directeur de Recherche" (CNRS) at Paul Sabatier University in Toulouse. Since 1998, he is a professor of Mathematics at Cornell University in Ithaca, New York, where he was chair from 2009 to 2015. Saloff-Coste works in the areas of analysis and probability theory, including problems involving geometry and partial differential equations. In particular, he has studied the behavior of diffusion processes on manifolds and their fundamental solutions, in connection to the geometry of the underlying spaces. He also studies random walks on groups and how their behavior reflects the algebraic structure of the underlying group. He has developed qu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analysis
Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though ''analysis'' as a formal concept is a relatively recent development. The word comes from the Ancient Greek ἀνάλυσις (''analysis'', "a breaking-up" or "an untying;" from ''ana-'' "up, throughout" and ''lysis'' "a loosening"). From it also comes the word's plural, ''analyses''. As a formal concept, the method has variously been ascribed to Alhazen, René Descartes (''Discourse on the Method''), and Galileo Galilei. It has also been ascribed to Isaac Newton, in the form of a practical method of physical discovery (which he did not name). The converse of analysis is synthesis: putting the pieces back together again in new or different whole. Applications Science The field of chemistry uses analysis in thr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rollo Davidson Prize
The Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees. It is named after English mathematician Rollo Davidson (1944–1970). Rollo Davidson Trust In 1970, Rollo Davidson, a Fellow-elect of Churchill College, Cambridge died on Piz Bernina, a mountain in Switzerland. In 1975, a trust fund was established at Churchill College in his memory, endowed initially through the publication in his honour of two volumes of papers, edited by E. F. Harding and D. G. Kendall. The Rollo Davidson Trust has awarded an annual prize to young probabilists since 1976, and has organized occasional lectures in honour of Davidson. Since 2012 the Trust has also awarded an annual Thomas Bond Sprague Prize.http://www.admin.cam.ac.uk/reporter/2011-12/weekly/6273/section12.shtml#heading2-35 Cambridge University Reporter CLXII no 38 List of recipients of the Rollo Davidson Prize * 1976 – Brian D. Ripley * 1977 – Olav Kallenberg * 1978 – ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cornell University Faculty
Cornell University is a Private Ivy League university, private Statutory college, statutory Land-grant university, land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach and make contributions in all fields of knowledge—from the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's founding principle, a popular 1868 quotation from founder Ezra Cornell: "I would found an institution where any person can find instruction in any study." Cornell is ranked among the top global universities. The university is organized into seven Undergraduate education, undergraduate colleges and seven graduate school, graduate divisions at its main Ithaca campus, with each college and division defining its specific admission standards and academic programs in near autonomy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Persi Diaconis
Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University. He is particularly known for tackling mathematical problems involving randomness and randomization, such as coin flipping and shuffling playing cards. Biography Diaconis left home at 14 to travel with sleight-of-hand legend Dai Vernon, and dropped out of high school, returning to school at age 24 to learn math, motivated to read William Feller's famous two-volume treatise on probability theory, ''An Introduction to Probability Theory and Its Applications''. He attended the City College of New York for his undergraduate work, graduating in 1971, and then obtained a Ph.D. in Mathematical Statistics from Harvard University in 1974), learned to read Feller, and became a mathematical probabilist.Jeffrey R. Young, "The Magical Mind of Persi Diaconis" ''Chronicle of Highe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harry Kesten
Harry Kesten (November 19, 1931 – March 29, 2019) was an American mathematician best known for his work in probability, most notably on random walks on groups and graphs, random matrices, branching processes, and percolation theory. Biography Kesten grew up in the Netherlands, where he moved with his parents in 1933 to escape the Nazis. He received his PhD in 1958 at Cornell University under supervision of Mark Kac. He was an instructor at Princeton University and the Hebrew University before returning to Cornell in 1961. Kesten died on March 29, 2019, in Ithaca at the age of 87. Mathematical work Kesten's work includes many fundamental contributions across almost the whole of probability, including the following highlights. *''Random walks on groups.'' In his 1958 PhD thesis, Kesten studied symmetric random walks on countable groups ''G'' generated by a jump distribution with support ''G''. He showed that the spectral radius equals the exponential decay rate of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other Founding Fathers of the United States. It is headquartered in Cambridge, Massachusetts. Membership in the academy is achieved through a thorough petition, review, and election process. The academy's quarterly journal, ''Dædalus'', is published by MIT Press on behalf of the academy. The academy also conducts multidisciplinary public policy research. History The Academy was established by the Massachusetts legislature on May 4, 1780, charted in order "to cultivate every art and science which may tend to advance the interest, honor, dignity, and happiness of a free, independent, and virtuous people." The sixty-two incorporating fellows represented varying interests and high standing in the political, professional, and commercial secto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute Of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts of the world. Beginning in 2005, the institute started offering joint membership with the Bernoulli Society for Mathematical Statistics and Probability as well as with the International Statistical Institute. The Institute was founded in 1935 with Harry C. Carver and Henry L. Rietz as its two most important supporters. The institute publishes a variety of journals, and holds several international conference every year. Publications The Institute publishes five journals: *''Annals of Statistics'' *'' Annals of Applied Statistics'' *''Annals of Probability'' *''Annals of Applied Probability'' *'' Statistical Science'' In addition, it co-sponsors: * The ''Current Index to Statistics'' * ''Electronic Communications in Probability'' * ''Ele ... [...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 in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Markov Chain
A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happens next depends only on the state of affairs ''now''." A countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC). It is named after the Russian mathematician Andrey Markov. Markov chains have many applications as statistical models of real-world processes, such as studying cruise control systems in motor vehicles, queues or lines of customers arriving at an airport, currency exchange rates and animal population dynamics. Markov processes are the basis for general stochastic simulation methods known as Markov chain Monte Carlo, which are used for simulating sampling from complex probability dist ... [...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] |
Ithaca, New York
Ithaca is a city in the Finger Lakes region of New York, United States. Situated on the southern shore of Cayuga Lake, Ithaca is the seat of Tompkins County and the largest community in the Ithaca metropolitan statistical area. It is named after the Greek island of Ithaca. A college town, Ithaca is home to Cornell University and Ithaca College. Nearby is Tompkins Cortland Community College (TC3). These three colleges bring thousands of students to the area, who increase Ithaca's seasonal population during the school year. As of 2020, the city's population was 32,108. History Early history Native Americans lived in this area for thousands of years. When reached by Europeans, this area was controlled by the Cayuga tribe of Indians, one of the Five Nations of the ''Haudenosaunee'' or Iroquois League. Jesuit missionaries from New France (Quebec) are said to have had a mission to convert the Cayuga as early as 1657. Saponi and Tutelo peoples, Siouan-speaking tribes, lat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach and make contributions in all fields of knowledge—from the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's founding principle, a popular 1868 quotation from founder Ezra Cornell: "I would found an institution where any person can find instruction in any study." Cornell is ranked among the top global universities. The university is organized into seven undergraduate colleges and seven graduate divisions at its main Ithaca campus, with each college and division defining its specific admission standards and academic programs in near autonomy. The university also administers three satellite campuses, two in New York City and one in Education City, Qatar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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