|
Srinivasa Varadhan
Sathamangalam Ranga Iyengar Srinivasa Varadhan FRS (born 2 January 1940) is an Indian American mathematician, widely recognised as one of the most influential mathematicians of the 20th century. He is known for his fundamental contributions to probability theory and in particular for creating a unified theory of large deviations. He is regarded and revered as one of the fundamental contributors to the theory of diffusion processes with an orientation towards the refinement and further development of Itô’s stochastic calculus. In the year 2007, he became the first Asian to win the Abel Prize. Early life and education Srinivasa was born into a Hindu Tamil Brahmin Iyengar family in 1940 in Chennai (then Madras). Varadhan received his undergraduate degree in 1959 from Presidency College, and Indian Statistical Institute in Kolkata, Bengal. In 1953, his family migrated to Kolkata. He then went back to Chennai for college in 1958. In 1960, he went to Kolkata for college. He grew ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madras
Chennai (, ), formerly known as Madras ( the official name until 1996), is the capital city of Tamil Nadu, the southernmost Indian state. The largest city of the state in area and population, Chennai is located on the Coromandel Coast of the Bay of Bengal. According to the 2011 Indian census, Chennai is the sixth-most populous city in the country and forms the fourth-most populous urban agglomeration. The Greater Chennai Corporation is the civic body responsible for the city; it is the oldest city corporation of India, established in 1688—the second oldest in the world after London. The city of Chennai is coterminous with Chennai district, which together with the adjoining suburbs constitutes the Chennai Metropolitan Area, the List of urban areas by population, 36th-largest urban area in the world by population and one of the largest metropolitan economies of India. The traditional and de facto gateway of South India, Chennai is among the most-visited Indian cities by f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abel Prize
The Abel Prize ( ; no, Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. It comes with a monetary award of 7.5 million Norwegian kroner (NOK; increased from 6 million NOK in 2019). The Abel Prize's history dates back to 1899, when its establishment was proposed by the Norwegian mathematician Sophus Lie when he learned that Alfred Nobel's plans for annual prizes would not include a prize in mathematics. In 1902, King Oscar II of Sweden and Norway indicated his willingness to finance the creation of a mathematics prize to complement the Nobel Prizes, but the establishment of the prize was prevented by the dissolution of the union between Norway and Sweden in 1905. It took almost a century before the prize was finally established by the Government of Norway in 2001, and it was specifically intended "to give t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iyengar
Iyengar (also spelt Ayyangar or Aiyengar, pronounced ) refers to the name of an ethnoreligious community of Tamil-speaking Hindu Brahmins, whose members follow Sri Vaishnavism and the Visishtadvaita philosophy propounded by Ramanuja. Found mostly in the Southern Indian states of Tamil Nadu, Karnataka, and Andhra Pradesh, Iyengars are divided into two denominations, the Vadakalai and the Tenkalai. The community belongs to the Pancha Dravida Brahmana classification of Brahmins in India. Etymology There are several opinions regarding the etymology of the term ''Iyengar'', which is the anglicized form of the Dravidian word ''Aiyaṅgār'' (, ). One is that it derives from the Proto-Dravidian word ''ayya-gāru'' ( 𑀅𑀬𑀕𑀭𑀼), which became ''Ayyangāru'' (), and later ''Ayengar''. The term ''ayya'' is the Tamil equivalent of the Sanskrit word ''ārya,'' ( 𑀆𑀭𑁆𑀬/आर्य) which in Sanskrit means ''noble''. ''Gāru'' refers to a form of the Pali term ''gā ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tamil Brahmin
Tamil Brahmins are an ethnoreligious community of Tamil-speaking Hindu Brahmins, predominantly living in Tamil Nadu, though they number significantly in Telangana, Andhra Pradesh, Kerala, Karnataka, in addition to other regions of India, as well as Sri Lanka. They can be broadly divided into two denominations: Iyengars, who are adherents of Sri Vaishnavism, and Iyers, who follow the Srauta and Smarta traditions. Denominations Tamil Brahmins are divided into two major denominations: Iyers, who follow the Smartha tradition, and Iyengars, who adhere to the tradition of Sri Vaishnavism. Iyer Iyers are '' Srauta-Smartha'' Brahmins, whose members follow the ''Advaita'' philosophy propounded by Adi Shankara. They are concentrated mainly along the Cauvery Delta districts of Nagapattinam, Thanjavur, Tiruvarur and Tiruchirapalli where they form almost 10% of the total population. However the largest population reside in Nagercoil, making up to 13% of the city's population. G. S. G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hindu
Hindus (; ) are people who religiously adhere to Hinduism.Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pages 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for people living in the Indian subcontinent. The term ''"Hindu"'' traces back to Old Persian which derived these names from the Sanskrit name ''Sindhu'' (सिन्धु ), referring to the river Indus. The Greek cognates of the same terms are "''Indus''" (for the river) and "''India''" (for the land of the river). The term "''Hindu''" also implied a geographic, ethnic or cultural identifier for people living in the Indian subcontinent around or beyond the Sindhu (Indus) River. By the 16th century CE, the term began to refer to residents of the subcontinent who were not Turkic or Muslims. Hindoo is an archaic spelling variant, whose use today is considered derogatory. The historical development of Hindu self-identity within the local In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asian People
Asian people (or Asians, sometimes referred to as Asiatic people)United States National Library of Medicine. Medical Subject Headings. 2004. November 17, 200Nlm.nih.gov: ''Asian Continental Ancestry Group'' is also used for categorical purposes. are the people of Asia. The term may also refer to their descendants. Meanings by region Anglophone Africa and Caribbean In parts of anglophone Africa, especially East Africa and in parts of the Caribbean, the term "Asian" is more commonly associated with people of South Asian origin, particularly Indians, Pakistanis, Bangladeshis and Sri Lankans. In South Africa the term "Asian" is also usually synonymous with the Indian race group. East Asians in South Africa, including Chinese were classified either as Coloureds or as honorary whites. Arab States of the Persian Gulf In the Arab states of the Persian Gulf, the term "Asian" generally refers to people of South Asian and Southeast Asian descent due to the large Indian, Pakistan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Calculus
Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created and started by the Japanese mathematician Kiyoshi Itô during World War II. The best-known stochastic process to which stochastic calculus is applied is the Wiener process (named in honor of Norbert Wiener), which is used for modeling Brownian motion as described by Louis Bachelier in 1900 and by Albert Einstein in 1905 and other physical diffusion processes in space of particles subject to random forces. Since the 1970s, the Wiener process has been widely applied in financial mathematics and economics to model the evolution in time of stock prices and bond interest rates. The main flavours of stochastic calculus are the Itô calculus and its variational relative the Malliavin calculus. For technical reasons the Itô integral is the most ... [...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] |
Large Deviations Theory
In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While some basic ideas of the theory can be traced to Laplace, the formalization started with insurance mathematics, namely ruin theory with Cramér and Lundberg. A unified formalization of large deviation theory was developed in 1966, in a paper by Varadhan. Large deviations theory formalizes the heuristic ideas of ''concentration of measures'' and widely generalizes the notion of convergence of probability measures. Roughly speaking, large deviations theory concerns itself with the exponential decline of the probability measures of certain kinds of extreme or ''tail'' events. Introductory examples An elementary example Consider a sequence of independent tosses of a fair coin. The possible outcomes could be heads or tails. Let us denote the possible outcome of the i-th trial by where we encode head as 1 and tail as 0. Now let M_N ... [...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] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian American
Indian Americans or Indo-Americans are citizens of the United States with ancestry from India. The United States Census Bureau uses the term Asian Indian to avoid confusion with Native Americans, who have also historically been referred to as "Indians" and are known as "American Indians". With a population of more than four and a half million, Indian Americans make up 1.4% of the U.S. population and are the largest group of South Asian Americans, as well as the second largest group of Asian Americans after Chinese Americans. Indian Americans are the highest-earning ethnic group in the United States.Multiple sources: * * * * * * * * * * * * * * * Terminology In the Americas, the term "Indian" had historically been used to describe indigenous people since European colonization in the 15th century. Qualifying terms such as " American Indian" and " East Indian" were and still are commonly used in order to avoid ambiguity. The U.S. government has since coined the term "Native Am ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> Hindu")
.svg "Click for more on -> Probability Theory")
