|
David Williams (mathematician)
David Williams Royal Society, FRS is a Welsh mathematician who works in probability theory. Biography David Williams was born at Gorseinon, near Swansea, Wales, and educated at Gowerton Comprehensive School, Gowerton Grammar School, winning a mathematics scholarship to Jesus College, Oxford, and went on to obtain a DPhil under the supervision of David George Kendall and Gerd Edzard Harry Reuter, with a thesis titled ''Random time substitution in Markov chains''. He held posts at the Stanford University (1962–63), University of Durham, University of Cambridge (1966–69), and at Swansea University (1969–85), where he was promoted to a personal chair in 1972. In 1985, he was elected to the Professorship of Mathematical Statistics, University of Cambridge, where he remained until 1992, serving as Director of the Statistical Laboratory, University of Cambridge, Statistical Laboratory between 1987 and 1991. Following this, he held the Chair of Mathematical Sciences jointly with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gower Peninsula
Gower ( cy, Gŵyr) or the Gower Peninsula () in southwest Wales, projects towards the Bristol Channel. It is the most westerly part of the historic county of Glamorgan. In 1956, the majority of Gower became the first area in the United Kingdom to be designated an Area of Outstanding Natural Beauty. Until 1974, Gower was administered as a rural district. It was then merged with the county borough of Swansea. From 1974 to 1996, it formed the Swansea district. Since 1996, Gower has been administered as part of the unitary authority of the City and County of Swansea. Since its establishment in 1999, the Gower Senedd constituency has only elected Labour members. The Gower constituency in Westminster had previously also elected only Labour Members of Parliament (MPs) since 1908; the longest run (with Normanton and Makerfield) of any UK constituency. This ended in 2015 when the Conservatives took the seat. In 2017, it returned to Labour. The area of both constituencies covers the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David George Kendall
David George Kendall FRS (15 January 1918 – 23 October 2007) was an English statistician and mathematician, known for his work on probability, statistical shape analysis, ley lines and queueing theory. He spent most of his academic life in the University of Oxford (1946–1962) and the University of Cambridge (1962–1985). He worked with M. S. Bartlett during World War II, and visited Princeton University after the war. Life and career David George Kendall was born on 15 January 1918 in Ripon, West Riding of Yorkshire, and attended Ripon Grammar School before attending Queen's College, Oxford, graduating in 1939. He worked on rocketry during the World War II, before moving to Magdalen College, Oxford, in 1946. In 1962 he was appointed the first Professor of Mathematical Statistics in the Statistical Laboratory, University of Cambridge; in which post he remained until his retirement in 1985. He was elected to a professorial fellowship at Churchill College, and he wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pólya Prize (LMS)
The Pólya Prize is a prize in mathematics, awarded by the London Mathematical Society. Second only to the triennial De Morgan Medal in prestige among the society's awards, it is awarded in the years that are not divisible by three – those in which the De Morgan Medal is not awarded. First given in 1987, the prize is named after Hungarian mathematician George Pólya, who was a member of the society for over 60 years. The prize is awarded "in recognition of outstanding creativity in, imaginative exposition of, or distinguished contribution to, mathematics within the United Kingdom". It cannot be given to anyone who has previously received the De Morgan Medal. List of winners * 1987 John Horton Conway * 1988 C. T. C. Wall * 1990 Graeme B. Segal * 1991 Ian G. Macdonald * 1993 David Rees * 1994 David Williams * 1996 David Edmunds * 1997 John Hammersley * 1999 Simon Donaldson * 2000 Terence Lyons * 2002 Nigel Hitchin * 2003 Angus Macintyre * 2005 Michael Berry * 2006 Peter Swin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martingale (probability Theory)
In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time, the conditional expectation of the next value in the sequence is equal to the present value, regardless of all prior values. History Originally, '' martingale'' referred to a class of betting strategies that was popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins their stake if a coin comes up heads and loses it if the coin comes up tails. The strategy had the gambler double their bet after every loss so that the first win would recover all previous losses plus win a profit equal to the original stake. As the gambler's wealth and available time jointly approach infinity, their probability of eventually flipping heads approaches 1, which makes the martingale betting strategy seem like a sure thing. However, the exponential growth of the bets eventually bankrupts its users due to f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Markov Process
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 distr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diffusion Process
In probability theory and statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Brownian motion, reflected Brownian motion and Ornstein–Uhlenbeck processes are examples of diffusion processes. A sample path of a diffusion process models the trajectory of a particle embedded in a flowing fluid and subjected to random displacements due to collisions with other particles, which is called Brownian motion. The position of the particle is then random; its probability density function as a function of space and time is governed by an advection– diffusion equation. Mathematical definition A ''diffusion process'' is a Markov process with continuous sample paths for which the Kolmogorov forward equation is the Fokker–Planck equation. See also *Diffusion *Itô diffusion *Jump diffusion *Sample-continuous process In mathematics, a sample-continuous process is a stochastic process whose sample paths are almost ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wiener Process
In mathematics, the Wiener process is a real-valued continuous-time stochastic process named in honor of American mathematician Norbert Wiener for his investigations on the mathematical properties of the one-dimensional Brownian motion. It is often also called Brownian motion due to its historical connection with the physical process of the same name originally observed by Scottish botanist Robert Brown (Scottish botanist from Montrose), Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with stationary increments, stationary independent increments) and occurs frequently in pure and applied mathematics, economy, economics, quantitative finance, evolutionary biology, and physics. The Wiener process plays an important role in both pure and applied mathematics. In pure mathematics, the Wiener process gave rise to the study of continuous time martingale (probability theory), martingales. It is a key process in terms of which more complicated sto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistical Laboratory, University Of Cambridge
The Faculty of Mathematics at the University of Cambridge comprises the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP). It is housed in the Centre for Mathematical Sciences site in West Cambridge, alongside the Isaac Newton Institute. Many distinguished mathematicians have been members of the faculty. Some current members DPMMS *Béla Bollobás * John Coates * Thomas Forster *Timothy Gowers * Peter Johnstone *Imre Leader *Gabriel Paternain Statistical Laboratory * John Aston *Geoffrey Grimmett *Frank Kelly *Ioannis Kontoyiannis *Richard Nickl * James Norris *Richard Samworth *David Spiegelhalter * Richard Weber DAMTP *Gary Gibbons * Julia Gog, professor of mathematical biology * Raymond E. Goldstein *Rich Kerswell *Paul Linden * Michael Green * Peter Haynes, fluid dynamicist * John Hinch, fluid dynamicist, retired 2014 *Richard Jozsa *Hugh Osborn *John Papaloizou * Malcolm Perry * D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professorship Of Mathematical Statistics, University Of Cambridge
The Professorship of Mathematical Statistics at the University of Cambridge was established in 1961 with the support of the Royal Statistical Society and the aid of donations from various companies and banks. It was the first professorship in the Statistical Laboratory, and the first in Cambridge University explicitly intended for the study of statistics. Until 1973 the professor was ''ex officio'' Director of the Statistical Laboratory. List of professors of mathematical statistics * 1962–1985 David Kendall * 1985–1992 David Williams * 1992– Geoffrey Grimmett Geoffrey Richard Grimmett (born 20 December 1950) is a mathematician known for his work on the mathematics of random systems arising in probability theory and statistical mechanics, especially percolation theory and the contact process. He is ... References {{DEFAULTSORT:Mathematical Statistics, Professor of, Cambridge, University of 1962 establishments in the United Kingdom Professorships at t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Personal Chair
Academic ranks in the United Kingdom are the titles, relative seniority and responsibility of employees in universities. In general the country has three academic career pathways: one focused on research, one on teaching, and one that combines the two. Professors In the United Kingdom, like most Commonwealth countries (excluding Australia and Canada), as well as in Ireland, traditionally a professor held either an established chair or a personal chair. An established chair is established by the university to meet its needs for academic leadership and standing in a particular area or discipline and the post is filled from a shortlist of applicants; only a suitably qualified person will be appointed. A personal chair is awarded specifically to an individual in recognition of their high levels of achievements and standing in their particular area or discipline. In most universities, professorships are reserved for only the most senior academic staff, and other academics are genera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> Gower Peninsula")
