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K. R. Parthasarathy (probabilist)

From Wikipedia, the free encyclopedia
Indian statistician (1936–2023)
This article is about the Indian statistician. For the graph theorist, seeK. R. Parthasarathy (graph theorist).

K. R. Parthasarathy
Parthasarathy in 1975
Born
Kalyanapuram Rangachari Parthasarathy

(1936-06-25)25 June 1936
Madras,Madras Presidency, British India (nowChennai, Tamil Nadu, India)
Died14 June 2023(2023-06-14) (aged 86)
Delhi, India
Alma mater
Known forQuantum stochastic calculus
SpouseShyama Parthasarathy
Children2
Awards
Scientific career
FieldsMathematics
InstitutionsIndian Statistical Institute
Doctoral advisorC. R. Rao

Kalyanapuram Rangachari Parthasarathy (25 June 1936 – 14 June 2023) was an Indian statistician who was professor emeritus at theIndian Statistical Institute and a pioneer ofquantum stochastic calculus. Parthasarathy was the recipient of theShanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and theTWAS Prize in 1996.

Biography

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Parthasarathy was born on 25 June 1936 inMadras,[1] into a modest but deeply religiousHinduBrahmin family.[2][3][4] He completed his early years of schooling inThanjavur, before moving back to Madras to complete his schooling fromP. S. School in theMylapore neighbourhood of the city.[5] He went on to study at theRamakrishna Mission Vivekananda College, where he completed the B.A. (Honours) course inMathematics.

Parthasarathy then moved toKolkata to attend the Research and Training school at theIndian Statistical Institute, where he completed his PhD, under the supervision ofC. R. Rao in 1962. He was one of the "famous four" at ISI from 1956 to 1963, alongsideRamaswamy Ranga Rao,Veeravalli S. Varadarajan, andS. R. Srinivasa Varadhan.[6] He was awarded the first Ph.D. degree of ISI.[3]

He received theShanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 andThe World Academy of Sciences (TWAS) Prize for Mathematics in 1996.[7]

Parthasarathy was married to Shyama Parthasarathy. The couple had two sons.[5] Parthasarathy died inDelhi on 14 June 2023, at the age of 86.[8]

Research

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Parthasarathy started his work ontheoretical probability during his time at theIndian Statistical Institute.[8] He later worked at theSteklov Mathematical Institute,USSR Academy of Sciences (1962–63), as lecturer where he collaborated withAndrey Kolmogorov.[9] During this time, he continued to focus on the foundations ofprobability theory.[8] Later he came to the United Kingdom as a Professor of Statistics atUniversity of Sheffield (1964–68),University of Manchester (1968–70) and later atUniversity of Nottingham where he collaborated withRobin Lyth Hudson on their pioneering work in quantum stochastic calculus.[4][10][11][12]

After returning to India, he spent a few years atBombay University and theIndian Institute of Technology, Delhi, before returning to the newIndian Statistical Institute, Delhi Centre in 1976, where he spent the next 20 years before retiring in 1996.[3] He continued to remain as aprofessor emeritus at the institute until the early 2020s.[8]

Parthasarathy is the namesake ofParthasarathy–Ranga Rao–Varadarajan determinants[13] along withS.R.S. Varadhan,R. Ranga Rao andVeeravalli S. Varadarajan, which they introduced in 1967.[14] The PRV paper arose out of the grand program of Harish-Chandra on the representation theory of real connected semisimple Lie groups.[13] He collaborated with Ranga Rao and Varadarajan to write a paper onrepresentation theory oflie groups referred to as the PRV paper that was the foundation for further research on this topic.[8]

In addition to pioneering contributions toquantum stochastic calculus, some of Parthasarathy's research areas includedquantum probability, foundations ofquantum mechanics,information theory,stochastic processes, andgroup representations. He also served on many governmental committees.[8][5]

Published works

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Books

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Papers

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References

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  1. ^Kalyanapuram Rangachari PARTHASARATYArchived 8 September 2014 at theWayback Machine at mathunion.org
  2. ^Parthasarathy, K. R. (1986)."From Information Theory to Quantum Mechanics"(PDF).The Craft of Probabilistic Modelling. Applied Probability. Vol. 1. Springer. pp. 235–249.doi:10.1007/978-1-4613-8631-5_16.ISBN 978-1-4613-8633-9.
  3. ^abcKalyan Bidhan Sinha andB. V. Rajarama Bhat."Professor K. R. Parthasarathy"(PDF).Louisiana State University.
  4. ^ab"Conferring on him the degree of Doctor of Sciences".Chennai Mathematical Institute.
  5. ^abc"A Different Kind of Mind – Bhāvanā". Retrieved25 June 2023.
  6. ^Kalyan Bidhan Sinha andB. V. Rajarama Bhat."Veeravalli S. Varadarajan"(PDF).Louisiana State University.
  7. ^"Prizes and Awards". The World Academy of Sciences. 2016.
  8. ^abcdef"Remembering K R Parthasarathy: A life in numbers".The Indian Express. 24 June 2023. Retrieved25 June 2023.
  9. ^"Professor KR Parthasarathy".Indian National Science Academy. Archived fromthe original on 1 September 2015. Retrieved18 May 2013.
  10. ^D. Applebaum."Robin Hudson's Pathless Path to Quantum Stochastic Calculus"(PDF). Archived fromthe original(PDF) on 4 March 2016.
  11. ^Jinqiao Duan; Shunlong Luo; Caishi Wang (2010).Recent development in stochastic dynamics and stochastic analysis. World Scientific. p. preface-x.ISBN 978-9814277266.
  12. ^K. R. Parthasarathy."Quantum Stochastic Calculus". Archived fromthe original on 28 July 2012. Retrieved27 April 2013.
  13. ^ab"KRP's contributions in lie theory"(PDF).math.iisc.ac.in.
  14. ^K. R. Parthasarathy, R. Ranga Rao, andVeeravalli S. Varadarajan. "Representations of complex semi-simple Lie groups and Lie algebras".The Annals of Mathematics 85.3 (1967): 383–429
  15. ^ab"Books by K. R. Parthasarathy".

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