KR Parthasarathy
KR Parthasarathy ( Kalyanapuram Rangachari Parthasarathy ; born June 25, 1936 in Chennai ) is an Indian mathematician who deals with stochastics.
Life
He studied at Ramakrishna Mission Vivekananda College in Chennai with a bachelor's degree in mathematics and received his doctorate (Some problems in ergodic theory and information theory) in 1962 under CR Rao at the Indian Statistical Institute (ISI) in Calcutta , the first doctoral student at ISI. There he was one of four already outstanding students who did research together at the ISI and were later called the Famous Four (the others were VS Varadarajan , R. Ranga Rao , SR Srinivasa Varadhan ). As a post-doctoral student , he was at the Steklow Institute in Moscow in 1962/63 with Andrei Kolmogorow , who had previously visited India. In Moscow he took part in the seminars of Israel Gelfand and Eugene Dynkin . From 1964 he was Professor of Statistics at the University of Sheffield , 1968 to 1970 at the University of Manchester and then at the University of Nottingham . Back in India, he first went to the University of Mumbai (Bombay) and the Indian Institute of Technology in Delhi before going to the newly founded branch of the ISI in Delhi in 1976, where he built up mathematical statistics and stayed until his retirement in 1996.
With Robin L. Hudson (* 1940) in Manchester and Nottingham he developed a quantum version of the Ito calculus (Quantum Stochastic Calculus). In addition, he dealt with information theory, limit theorems in statistics, Lie groups and probability measures on these, and with the mathematical treatment of quantum mechanics.
In 1977 he won the Shanti Swarup Bhatnagar Prize for Science and Technology.
Fonts
- Probability measures on metric spaces (= Probability and Mathematical Statistics. 3, ZDB -ID 416538-X ). Academic Press, New York et al. 1967.
- Multipliers on locally compact groups (= Lecture Notes in Mathematics . 93). Springer, Berlin et al. 1969.
- with Klaus Schmidt : Positive definite kernels, continuous tensor products, and central limit theorems of probability theory (= Lectures Notes in Mathematics. 272). Springer, Berlin et al. 1972, ISBN 3-540-05908-3 .
- Introduction to probability and measure. Macmillan, London 1977, ISBN 0-333-21855-8 .
- with Rajendra Bhatia: Lectures on Functional Analysis. 2 volumes. Macmillan, New Delhi 1978-1979;
- Volume 1: Perturbation by bounded operators (= Indian Statistical Institute Lecture Notes Series. 3). 1978, ISBN 0-333-90271-8 ;
- Volume 2: Perturbation by unbounded operators (= Indian Statistical Institute Lecture Notes Series. 6). 1979, ISBN 0-333-90310-2 .
- with Robin L. Hudson : Quantum Ito's formula and stochastic evolutions. In: Communications in Mathematical Physics . Volume 93, No. 3, 1984, pp. 301-323, ( online ).
- An introduction to quantum stochastic calculus (= Monographs in Mathematics. 85). Birkhäuser, Basel et al. 1992, ISBN 3-7643-2697-2 .
- as editor with Jayanta K. Ghosh, Sujit K. Mitra: Glimpses of India's statistical heritage. Wiley Eastern, New Delhi et al. 1992, ISBN 81-224-0423-5 .
Web links
Individual evidence
- ↑ The name of the place of origin of the Kalyanapuram family and the patronymic Rangachari are abbreviated in front of the name, as is customary in South India, Parthasarathy is the nickname. Family names are not common in South India.
- ↑ Kalyanapuram Rangachari PARTHASARATY ( Memento of the original from September 8, 2014 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. at mathunion.org
- ^ Mathematics Genealogy Project
- ↑ According to Itō Kiyoshi , see Stochastic Integration
- ↑ Quantum Stochastic Calculus, Mathworld
| personal data | |
|---|---|
| SURNAME | Parthasarathy, KR |
| ALTERNATIVE NAMES | Parthasarathy, Kalyanapuram Rangachari |
| BRIEF DESCRIPTION | Indian mathematician |
| DATE OF BIRTH | June 25, 1936 |
| PLACE OF BIRTH | Chennai |