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K. R. Parthasarathy (probabilist)

January 08, 2023

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 at Chennai, into a modest but deeply religious Hindu Brahmin family.[2][3][4] 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"[5] (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.[3] He received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996.[6]

Research

He worked at the Steklov Mathematical Institute, USSR Academy of Sciences (1962–63), as Lecturer where he collaborated with Andrey Kolmogorov.[7] Later he came to 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.[4][8][9][10] 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.[3]

He is the namesake of Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants along with Bertram Kostant, R. Ranga Rao and Veeravalli S. Varadarajan which they introduced in 1967.[11]

Books authored

Among the books he has authored are:

References

  1. ^ Kalyanapuram Rangachari PARTHASARATY 8 September 2014 at the Wayback Machine at mathunion.org
  2. ^ Parthasarathy, K. R. (1986). "From Information Theory to Quantum Mechanics" (PDF). The Craft of Probabilistic Modelling: A Collection of Personal Accounts. Applied Probability. Springer. 1: 235–249. doi:10.1007/978-1-4613-8631-5_16. ISBN 978-1-4613-8633-9.
  3. ^ a b c Kalyan Bidhan Sinha and B. V. Rajarama Bhat. "Professor K. R. Parthasarathy" (PDF). Louisiana State University.
  4. ^ a b "Conferring on him the degree of Doctor of Sciences". Chennai Mathematical Institute.
  5. ^ Kalyan Bidhan Sinha and B. V. Rajarama Bhat. "Veeravalli S. Varadarajan" (PDF). Louisiana State University.
  6. ^ "Prizes and Awards". The World Academy of Sciences. 2016.
  7. ^ . Indian National Science Academy. Archived from the original on 1 September 2015. Retrieved 18 May 2013.
  8. ^ D Applebaum. (PDF). Archived from the original (PDF) on 4 March 2016.
  9. ^ Jinqiao Duan; Shunlong Luo; Caishi Wang (2010). Recent development in stochastic dynamics and stochastic analysis. World Scientific. p. preface-x. ISBN 978-9814277266.
  10. ^ K. R. Parthasarathy. . Archived from the original on 28 July 2012. Retrieved 27 April 2013.
  11. ^ 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

January 08, 2023
parthasarathy, probabilist, kalyanapuram, rangachari, parthasarathy, born, june, 1936, professor, emeritus, indian, statistical, institute, pioneer, quantum, stochastic, calculus, parthasarathyborn, 1936, june, 1936, madras, indiaalma, materramakrishna, missio. Kalyanapuram Rangachari Parthasarathy born 25 June 1936 is professor emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus K R ParthasarathyBorn 1936 06 25 25 June 1936 age 86 1 Madras IndiaAlma materRamakrishna Mission Vivekananda College Indian Statistical InstituteKnown forQuantum stochastic calculusAwardsShanti Swarup Bhatnagar AwardTWAS PrizeScientific careerFieldsMathematicsInstitutionsIndian Statistical InstituteDoctoral advisorC R Rao Contents 1 Biography 2 Research 3 Books authored 4 References 5 External linksBiography EditHe was born in 1936 at Chennai into a modest but deeply religious Hindu Brahmin family 2 3 4 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 5 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 3 He received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996 6 Research EditHe worked at the Steklov Mathematical Institute USSR Academy of Sciences 1962 63 as Lecturer where he collaborated with Andrey Kolmogorov 7 Later he came to 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 4 8 9 10 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 3 He is the namesake of Kostant Parthasarathy Ranga Rao Varadarajan determinants along with Bertram Kostant R Ranga Rao and Veeravalli S Varadarajan which they introduced in 1967 11 Books authored EditAmong 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 Edit Kalyanapuram Rangachari PARTHASARATY Archived 8 September 2014 at the Wayback Machine at mathunion org Parthasarathy K R 1986 From Information Theory to Quantum Mechanics PDF The Craft of Probabilistic Modelling A Collection of Personal Accounts Applied Probability Springer 1 235 249 doi 10 1007 978 1 4613 8631 5 16 ISBN 978 1 4613 8633 9 a b c Kalyan Bidhan Sinha and B V Rajarama Bhat Professor K R Parthasarathy PDF Louisiana State University 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 978 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 429External links EditKalyanapuram Rangachari Parthasarathy at the Mathematics Genealogy Project K R Parthasaraty at Indian Statistical Institute Delhi Center https web archive org web 20120728070024 http www mathunion org Publications Bulletins 39 parthasarathy ps Retrieved from https en wikipedia org w index php title K R Parthasarathy probabilist amp oldid 1131469493, wikipedia, wiki, book, books, library,

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