K. R. Parthasarathy (probabilist)
K. R. Parthasarathy | |
---|---|
![]() | |
Born | [1] Madras, India | 25 June 1936
Alma mater | Ramakrishna Mission Vivekananda College, Indian Statistical Institute |
Known for | Quantum stochastic calculus |
Awards | Shanti Swarup Bhatnagar Award TWAS Prize |
Scientific career | |
Fields | Mathematics |
Institutions | Indian Statistical Institute |
Doctoral advisor | C. R. Rao |
Kalyanapuram Rangachari Parthasarathy (born 25 June 1936) is professor emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus.
Biography[]
He was born in 1936 [2][3] at Chennai. He studied at the Ramakrishna Mission Vivekananda College, where he completed the B.A. (Honours) course in Mathematics, and moved to the Indian Statistical Institute, Kolkata, where he completed his Ph.D., under the supervision of C. R. Rao in 1962. He was one of the "famous four"[4] (the others were R. Ranga Rao, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan ) in ISI during 1956–1963. He was awarded the first Ph.D. degree of ISI.[2] He received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996.[5]
Research[]
He worked at the Steklov Mathematical Institute, USSR Academy of Sciences (1962–63), as Lecturer where he collaborated with Andrey Kolmogorov.[6] Later he came in United Kingdom as Professor of Statistics in University of Sheffield (1964–68), University of Manchester (1968-70) and later at University of Nottingham where he collaborated with Robin Lyth Hudson on their pioneering work in quantum stochastic calculus.[3][7][8][9] Then he returned to India, and after a few years in Bombay University and the Indian Institute of Technology, Delhi, he came back in 1976 to the new Indian Statistical Institute, Delhi Centre and he stayed there until he retired in 1996.[2]
He is the namesake of along with Bertram Kostant, R. Ranga Rao and Veeravalli S. Varadarajan which they introduced in 1967.[10]
Books authored[]
Among the books he has authored are:
- K. R. Parthasarathy. Probability measures on metric spaces. Vol. 352. American Mathematical Society, 1967.
- Robin Lyth Hudson and K. R. Parthasarathy. "Quantum Ito's formula and stochastic evolutions." Communications in Mathematical Physics 93.3 (1984): 301–323.
- K. R. Parthasarathy. An introduction to quantum stochastic calculus. Vol. 85. Springer, 1992.
- K. R. Parthasarathy and Klaus Schmidt. "Positive definite kernels, continuous tensor products, and central limit theorems of probability theory" (series: Lecture Notes in Mathematics). (1972).
References[]
- ^ Kalyanapuram Rangachari PARTHASARATY Archived 8 September 2014 at the Wayback Machine at mathunion.org
- ^ Jump up to: a b c Kalyan Bidhan Sinha and B. V. Rajarama Bhat. "Professor K. R. Parthasarathy" (PDF). Louisiana State University.
- ^ Jump up to: a b "Conferring on him the degree of Doctor of Sciences". Chennai Mathematical Institute.
- ^ Kalyan Bidhan Sinha and B. V. Rajarama Bhat. "Veeravalli S. Varadarajan" (PDF). Louisiana State University.
- ^ "Prizes and Awards". The World Academy of Sciences. 2016.
- ^ "Professor KR Parthasarathy". Indian National Science Academy. Archived from the original on 1 September 2015. Retrieved 18 May 2013.
- ^ D Applebaum. "Robin Hudson's Pathless Path to Quantum Stochastic Calculus" (PDF). Archived from the original (PDF) on 4 March 2016.
- ^ Jinqiao Duan; Shunlong Luo; Caishi Wang (2010). Recent development in stochastic dynamics and stochastic analysis. World Scientific. p. preface-x. ISBN 9814277266.
- ^ K. R. Parthasarathy. "Quantum Stochastic Calculus". Archived from the original on 28 July 2012. Retrieved 27 April 2013.
- ^ K. R. Parthasarathy, R. Ranga Rao, and Veeravalli S. Varadarajan. "Representations of complex semi-simple Lie groups and Lie algebras." The Annals of Mathematics 85.3 (1967): 383-429
External links[]
- 1936 births
- Living people
- Indian statisticians
- 20th-century Indian mathematicians
- 21st-century Indian mathematicians
- Probability theorists
- Indian Statistical Institute alumni
- Indian Statistical Institute faculty
- Scientists from Chennai
- TWAS laureates
- Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science