40:
381:
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794:
2020:
1490:
2013:
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2029:
2006:
1500:
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22:
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On the category of indecomposable distributions on topological groups. Transactions of the
American Mathematical Society
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https://web.archive.org/web/20120728070024/http://www.mathunion.org/Publications/Bulletins/39/parthasarathy.ps
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Positive
Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory
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1998:
396:
which they introduced in 1967. He collaborated with Ranga Rao and
Varadarajan to write a paper on
306:
Parthasarathy was married to Shyama
Parthasarathy. The couple had two sons. Parthasarathy died in
2521:
2388:
2168:
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2077:
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966:
373:, in 1976, where he spent the next 20 years before retiring in 1996. He continued to remain as a
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210:(25 June 1936 – 14 June 2023) was an Indian statistician who was professor emeritus at the
1178:
842:
Hudson, R. L.; Parthasarathy, K. R. (1984). Bratteli, Ola; Jørgensen, Palle E. T. (eds.).
8:
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404:
referred to as the PRV paper that was the foundation for further research on this topic.
1018:"Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory"
1017:
992:
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in 1962. He was one of the "famous four" at ISI from 1956 to 1963, alongside
1449:
2423:
1986:
1929:
1878:
1669:
1357:
845:
Stochastic
Dilations of Uniformly Continuous Completely Positive Semigroups
21:
This article is about the Indian statistician. For the graph theorist, see
2235:
1968:
1916:
1868:
983:
660:
262:
1415:. "Representations of complex semi-simple Lie groups and Lie algebras".
702:
678:
2527:
Recipients of the Shanti Swarup
Bhatnagar Award in Mathematical Science
2033:
1690:
1221:
1145:
826:
769:
634:
602:
577:
223:
155:
1040:
Parthasarathy, K. R., Ranga Rao, R., & Varadhan, S. R. S. (1962).
342:. Later he came to the United Kingdom as a Professor of Statistics at
39:
1900:
1803:
1522:
912:
Infinite
Dimensional Analysis, Quantum Probability and Related Topics
745:
553:
401:
277:
246:
195:
810:
618:
603:"Representations of Complex Semi-Simple Lie Groups and Lie Algebras"
2028:
1712:
1356:
924:
254:
222:
for
Science and Technology in Mathematical Science in 1977 and the
795:"The passage from random walk to diffusion in quantum probability"
1459:
K. R. Parthasaraty at Indian
Statistical Institute (Delhi Center)
1362:
Recent development in stochastic dynamics and stochastic analysis
269:
242:
235:
72:
1092:. Applied Probability. Vol. 1. Springer. pp. 235–249.
601:
Parthasarathy, K. R.; Rao, R. Ranga; Varadarajan, V. S. (1967).
338:. During this time, he continued to focus on the foundations of
683:
Sankhyā: The Indian
Journal of Statistics, Series A (1961-2002)
299:
for Science and Technology in Mathematical Science in 1977 and
249:, before moving back to Madras to complete his schooling from
1334:"Robin Hudson's Pathless Path to Quantum Stochastic Calculus"
307:
239:
679:"An Entropic Uncertainty Principle for Quantum Measurements"
1173:
1171:
600:
1015:
358:
on their pioneering work in quantum stochastic calculus.
276:, where he completed his Ph.D., under the supervision of
1501:
Shanti Swarup Bhatnagar Prize for Science and Technology
1215:
1168:
1141:
1139:
1137:
382:
Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants
712:"Positive Definite Functions and Operator Inequalities"
746:"Unification of fermion and Boson stochastic calculus"
257:
neighbourhood of the city. He went on to study at the
2444:(*)By birth - (#)By ethnicity - (!)By domicile
1134:
905:
848:. Dordrecht: Springer Netherlands. pp. 353–378.
245:
family. He completed his early years of schooling in
1179:"Conferring on him the degree of Doctor of Sciences"
676:
460:
1016:Rajarama Bhat, B. V.; Parthasarathy, K. R. (1995).
841:
743:
709:
551:
2497:Academic staff of the Indian Statistical Institute
1277:"Remembering K R Parthasarathy: A life in numbers"
906:Parthasarathy, K. R.; Sengupta, Ritabrata (2015).
431:. He also served on many governmental committees.
411:, some of Parthasarathy's research areas included
361:After returning to India, he spent a few years at
334:(1962–63), as lecturer where he collaborated with
272:to attend the Research and Training school at the
261:, where he completed the B.A. (Honours) course in
554:"Quantum Ito's formula and stochastic evolutions"
292:. He was awarded the first Ph.D. degree of ISI.
2453:
1244:
2183:Earth, Atmosphere, Ocean and Planetary Sciences
1384:
908:"From particle counting to Gaussian tomography"
710:Bhatia, Rajendra; Parthasarathy, K. R. (2000).
1083:"From Information Theory to Quantum Mechanics"
485:An Introduction to Quantum Stochastic Calculus
2014:
1484:
1080:
964:
792:
641:
523:
502:
481:
967:"Extremal quantum states in coupled systems"
744:Hudson, R. L.; Parthasarathy, K. R. (1986).
552:Hudson, R. L.; Parthasarathy, K. R. (1984).
716:Bulletin of the London Mathematical Society
407:In addition to pioneering contributions to
2409:Tiruppattur Venkatachalamurti Ramakrishnan
2021:
2007:
1491:
1477:
677:Krishna, M.; Parthasarathy, K. R. (2002).
461:Parthasarathy, K. R.; Schmidt, K. (1972).
371:Indian Statistical Institute, Delhi Centre
234:Parthasarathy was born on 25 June 1936 in
38:
2507:Academics of the University of Nottingham
2502:Academics of the University of Manchester
982:
923:
659:
488:. Springer Science & Business Media.
218:. Parthasarathy was the recipient of the
2512:Academics of the University of Sheffield
1331:
377:at the institute until the early 2020s.
1411:K. R. Parthasarathy, R. Ranga Rao, and
1364:. World Scientific. p. preface-x.
527:Introduction to Probability and Measure
259:Ramakrishna Mission Vivekananda College
104:Ramakrishna Mission Vivekananda College
2454:
1254:. The World Academy of Sciences. 2016.
1022:Annales de l'Institut Henri Poincaré B
971:Annales de l'Institut Henri Poincaré B
750:Communications in Mathematical Physics
558:Communications in Mathematical Physics
2267:Kalyanapuram Rangachari Parthasarathy
2002:
1472:
1450:Kalyanapuram Rangachari Parthasarathy
1427:
1425:
648:Communications on Stochastic Analysis
506:Probability Measures on Metric Spaces
367:Indian Institute of Technology, Delhi
238:, into a modest but deeply religious
208:Kalyanapuram Rangachari Parthasarathy
54:Kalyanapuram Rangachari Parthasarathy
1360:; Shunlong Luo; Caishi Wang (2010).
1271:
1269:
1267:
1265:
1263:
1261:
1202:"A Different Kind of Mind – Bhāvanā"
1196:
1194:
1192:
1090:The Craft of Probabilistic Modelling
1062:Kalyanapuram Rangachari PARTHASARATY
301:The World Academy of Sciences (TWAS)
23:K. R. Parthasarathy (graph theorist)
2492:Indian Statistical Institute alumni
310:on 14 June 2023, at the age of 86.
13:
2482:21st-century Indian mathematicians
2477:20th-century Indian mathematicians
1422:
434:
318:Parthasarathy started his work on
14:
2538:
1443:
1258:
1189:
380:Parthasarathy is the namesake of
2374:Kariamanickam Srinivasa Krishnan
2211:Tanjore Ramachandra Anantharaman
2322:Trivandrum Ramakrishnan Ramadas
2297:Thiruvenkatachari Parthasarathy
1405:
1378:
1350:
1325:
1307:Indian National Science Academy
1155:"Professor K. R. Parthasarathy"
303:Prize for Mathematics in 1996.
16:Indian statistician (1936–2023)
2083:Thavamani Jegajothivel Pandian
1433:"Books by K. R. Parthasarathy"
1295:
1183:Chennai Mathematical Institute
1074:
1055:
799:Journal of Applied Probability
369:, before returning to the new
328:Steklov Mathematical Institute
1:
1454:Mathematics Genealogy Project
1387:"Quantum Stochastic Calculus"
1081:Parthasarathy, K. R. (1986).
1048:
793:Parthasarathy, K. R. (1988).
524:Parthasarathy, K. R. (2005).
509:. American Mathematical Soc.
503:Parthasarathy, K. R. (2005).
482:Parthasarathy, K. R. (1992).
455:American Mathematical Society
297:Shanti Swarup Bhatnagar Prize
220:Shanti Swarup Bhatnagar Prize
151:Shanti Swarup Bhatnagar Award
2307:Ramachandran Balasubramanian
2048:Toppur Seethapathy Sadasivan
1303:"Professor KR Parthasarathy"
1098:10.1007/978-1-4613-8631-5_16
1001:10.1016/j.anihpb.2003.10.009
324:Indian Statistical Institute
274:Indian Statistical Institute
268:Parthasarathy then moved to
229:
212:Indian Statistical Institute
184:Indian Statistical Institute
109:Indian Statistical Institute
7:
1231:"Veeravalli S. Varadarajan"
854:10.1007/978-94-009-6484-6_6
644:"What is a Gaussian state?"
642:Parthasarathy, K R (2010).
409:quantum stochastic calculus
354:where he collaborated with
313:
216:quantum stochastic calculus
122:Quantum stochastic calculus
10:
2543:
2358:Vijayalakshmi Ravindranath
2317:Vaikalathur Shankar Sunder
2129:Dorairajan Balasubramanian
1940:Dishant Mayurbhai Pancholi
1238:Louisiana State University
1162:Louisiana State University
71:, British India (now
20:
2442:
2366:
2345:
2292:Rajagopalan Parthasarathy
2254:
2203:
2182:
2144:Narayanasami Sathyamurthy
2139:Srinivasan Chandrasekaran
2111:
2040:
1949:
1861:
1760:
1751:Rajeeva Laxman Karandikar
1679:
1590:
1511:
1417:The Annals of Mathematics
1413:Veeravalli S. Varadarajan
965:Parthasarathy, K (2005).
942:10.1142/S021902571550023X
728:10.1112/S0024609399006797
545:
394:Veeravalli S. Varadarajan
326:. He later worked at the
286:Veeravalli S. Varadarajan
201:
189:
179:
171:
164:
143:
135:
127:
117:
96:
80:
75:, Tamil Nadu, India)
49:
37:
30:
2434:Vijay Balakrishna Shenoy
2353:Subramanian Kalyanaraman
2282:Srinivasacharya Raghavan
2098:Narayanaswamy Srinivasan
1067:8 September 2014 at the
439:
352:University of Nottingham
348:University of Manchester
332:USSR Academy of Sciences
290:S. R. Srinivasa Varadhan
2517:Scientists from Chennai
2389:Ramanuja Vijayaraghavan
2169:Narayanaswamy Jayaraman
2149:Thirumalachari Ramasami
2088:Kuppamuthu Dharmalingam
2078:Govindarajan Padmanaban
2030:Shanti Swarup Bhatnagar
350:(1968–70) and later at
344:University of Sheffield
322:during his time at the
320:theoretical probability
2272:E. M. V. Krishnamurthy
2226:Ramarathnam Narasimhan
2216:Vaidyeswaran Rajaraman
2190:Kunchithapadam Gopalan
2159:Narayanan Chandrakumar
2103:Rajan Sankaranarayanan
2093:Jayaraman Gowrishankar
1889:Eknath Prabhakar Ghate
1846:Jaikumar Radhakrishnan
1571:E. M. V. Krishnamurthy
918:(4): 1550023–1550497.
2487:Probability theorists
2287:Ramaiyengar Sridharan
2255:Mathematical Sciences
2134:Paramasivam Natarajan
2068:M. K. Chandrashekaran
1963:U. K. Anandavardhanan
1519:K. S. Chandrasekharan
1385:K. R. Parthasarathy.
607:Annals of Mathematics
445:K. R. Parthasarathy.
429:group representations
398:representation theory
44:Parthasarathy in 1975
2472:Indian statisticians
2429:E. V. Sampathkumaran
2414:Muthusamy Lakshmanan
2404:Ramanujan Srinivasan
2312:Annamalai Ramanathan
2277:Sundararaman Ramanan
2204:Engineering Sciences
2124:Kuppuswamy Nagarajan
2073:Ramamirtha Jayaraman
1922:(Not awarded) (2017)
1610:B. L. S. Prakasa Rao
1505:Mathematical Science
1419:85.3 (1967): 383–429
661:10.31390/cosa.4.2.02
447:Probability measures
425:stochastic processes
131:Shyama Parthasarathy
2332:Sundaram Thangavelu
2241:G. K. Ananthasuresh
2231:Viswanathan Kumaran
2154:Mariappan Periasamy
2041:Biological Sciences
1895:Kaushal Kumar Verma
1834:B. V. Rajarama Bhat
1778:T. N. Venkataramana
1555:K. R. Parthasarathy
1313:on 1 September 2015
1252:"Prizes and Awards"
1227:B. V. Rajarama Bhat
1223:Kalyan Bidhan Sinha
1151:B. V. Rajarama Bhat
1147:Kalyan Bidhan Sinha
993:2005AIHPB..41..257P
934:2015IDAQP..1850023P
762:1986CMaPh.104..457H
570:1984CMaPh..93..301H
413:quantum probability
32:K. R. Parthasarathy
2419:Ganapathy Baskaran
2399:N. S. Satya Murthy
2384:Sivaraj Ramaseshan
2379:G. N. Ramachandran
2174:Govindasamy Mugesh
2119:T. R. Govindachari
1957:Rajat Subhra Hazra
1687:R. Balasubramanian
1281:The Indian Express
1044:, 102(2), 200-217.
770:10.1007/BF01210951
578:10.1007/BF01258530
421:information theory
375:professor emeritus
340:probability theory
2449:
2448:
2367:Physical Sciences
2195:Rengaswamy Ramesh
2112:Chemical Sciences
2063:T. C. Anand Kumar
2058:C. V. Subramanian
2053:M. S. Swaminathan
1996:
1995:
1883:Debashish Goswami
1840:Rama Govindarajan
1565:M. S. Raghunathan
1107:978-1-4613-8633-9
863:978-94-009-6484-6
537:978-93-86279-27-9
516:978-0-8218-3889-1
495:978-3-7643-2697-5
474:978-3-540-37607-1
417:quantum mechanics
415:, foundations of
363:Bombay University
356:Robin Lyth Hudson
336:Andrey Kolmogorov
214:and a pioneer of
205:
204:
166:Scientific career
69:Madras Presidency
2534:
2394:E. S. Raja Gopal
2346:Medical Sciences
2023:
2016:
2009:
2000:
1999:
1911:Amalendu Krishna
1905:Ritabrata Munshi
1852:Suresh Venapally
1814:Probal Chaudhuri
1808:Sujatha Ramdorai
1794:Manindra Agrawal
1640:T. Parthasarathy
1634:R. Parthasarathy
1549:M. S. Narasimhan
1529:K. G. Ramanathan
1493:
1486:
1479:
1470:
1469:
1437:
1436:
1429:
1420:
1409:
1403:
1402:
1400:
1398:
1389:. Archived from
1382:
1376:
1375:
1354:
1348:
1347:
1346:on 4 March 2016.
1345:
1339:. Archived from
1338:
1329:
1323:
1322:
1320:
1318:
1309:. Archived from
1299:
1293:
1292:
1290:
1288:
1273:
1256:
1255:
1248:
1242:
1241:
1235:
1219:
1213:
1212:
1210:
1208:
1198:
1187:
1186:
1175:
1166:
1165:
1159:
1143:
1132:
1131:
1125:
1121:
1119:
1111:
1087:
1078:
1072:
1071:at mathunion.org
1059:
1037:
1012:
986:
984:quant-ph/0307182
961:
927:
902:
896:
892:
890:
882:
880:
878:
838:
789:
739:
706:
673:
663:
638:
597:
541:
520:
499:
478:
295:He received the
191:Doctoral advisor
87:
63:
61:
42:
28:
27:
2542:
2541:
2537:
2536:
2535:
2533:
2532:
2531:
2452:
2451:
2450:
2445:
2438:
2362:
2341:
2337:Vikraman Balaji
2250:
2199:
2178:
2107:
2036:
2027:
1997:
1992:
1945:
1857:
1828:Indranil Biswas
1824:Vikraman Balaji
1818:K. H. Paranjape
1784:Dipendra Prasad
1756:
1729:Rajendra Bhatia
1717:Navin M. Singhi
1707:Maithili Sharan
1675:
1586:
1512:1950s–70s
1507:
1497:
1446:
1441:
1440:
1431:
1430:
1423:
1410:
1406:
1396:
1394:
1393:on 28 July 2012
1383:
1379:
1372:
1355:
1351:
1343:
1336:
1330:
1326:
1316:
1314:
1301:
1300:
1296:
1286:
1284:
1275:
1274:
1259:
1250:
1249:
1245:
1233:
1220:
1216:
1206:
1204:
1200:
1199:
1190:
1177:
1176:
1169:
1157:
1144:
1135:
1123:
1122:
1113:
1112:
1108:
1085:
1079:
1075:
1069:Wayback Machine
1060:
1056:
1051:
894:
893:
884:
883:
876:
874:
864:
811:10.2307/3214153
619:10.2307/1970351
548:
538:
517:
496:
475:
442:
437:
435:Published works
386:Bertram Kostant
316:
232:
160:
113:
97:Alma mater
92:
89:
85:
76:
65:
59:
57:
56:
55:
45:
33:
26:
17:
12:
11:
5:
2540:
2530:
2529:
2524:
2522:TWAS laureates
2519:
2514:
2509:
2504:
2499:
2494:
2489:
2484:
2479:
2474:
2469:
2464:
2447:
2446:
2443:
2440:
2439:
2437:
2436:
2431:
2426:
2421:
2416:
2411:
2406:
2401:
2396:
2391:
2386:
2381:
2376:
2370:
2368:
2364:
2363:
2361:
2360:
2355:
2349:
2347:
2343:
2342:
2340:
2339:
2334:
2329:
2324:
2319:
2314:
2309:
2304:
2302:Raman Parimala
2299:
2294:
2289:
2284:
2279:
2274:
2269:
2264:
2262:C. S. Seshadri
2258:
2256:
2252:
2251:
2249:
2248:
2243:
2238:
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1987:Neeraj Kayal
1930:Nitin Saxena
1879:Siva Athreya
1735:V. S. Sunder
1670:Gopal Prasad
1654:T. N. Shorey
1644:U. B. Tewari
1614:J. B. Shukla
1598:R. Sridharan
1559:S. K. Trehan
1554:
1416:
1407:
1395:. Retrieved
1391:the original
1380:
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1358:Jinqiao Duan
1352:
1341:the original
1327:
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1311:the original
1297:
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530:. Springer.
526:
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467:. Springer.
463:
453:. Vol. 352.
406:
390:R. Ranga Rao
379:
360:
317:
305:
294:
282:R. Ranga Rao
267:
251:P. S. School
233:
207:
206:
180:Institutions
165:
91:Delhi, India
86:(2023-06-14)
84:14 June 2023
64:25 June 1936
18:
2467:2023 deaths
2462:1936 births
2236:B. S. Murty
1969:Anish Ghosh
1936:Neena Gupta
1917:Naveen Garg
1869:Mahan Mitra
1798:V. Srinivas
1697:V. B. Mehta
1664:K. B. Sinha
1630:S. K. Malik
1604:J. K. Ghosh
1577:S. Raghavan
1535:A. S. Gupta
895:|work=
384:along with
346:(1964–68),
263:Mathematics
175:Mathematics
2456:Categories
2034:Tamil Nadu
1926:Amit Kumar
1691:S. G. Dani
1581:S. Ramanan
1545:P. C. Jain
1049:References
925:1504.07054
402:lie groups
224:TWAS Prize
156:TWAS Prize
60:1936-06-25
1901:K Sandeep
1804:Arup Bose
1523:C. R. Rao
1126:ignored (
1116:cite book
1034:1778-7017
950:0219-0257
897:ignored (
887:cite book
872:119829682
835:119819984
819:0021-9002
786:123132851
778:1432-0916
695:0581-572X
670:0973-9599
627:0003-486X
594:122848524
586:1432-0916
278:C. R. Rao
247:Thanjavur
230:Biography
226:in 1996.
196:C. R. Rao
1713:Karmeshu
1397:27 April
1065:Archived
1009:14210453
958:73693185
736:14312608
703:25051432
365:and the
314:Research
255:Mylapore
136:Children
67:Madras,
1452:at the
1287:25 June
1207:25 June
989:Bibcode
930:Bibcode
877:25 June
827:3214153
758:Bibcode
635:1970351
566:Bibcode
457:, 1967.
270:Kolkata
253:in the
243:Brahmin
73:Chennai
1989:(2022)
1983:(2022)
1977:(2021)
1971:(2021)
1965:(2020)
1959:(2020)
1942:(2019)
1938:&
1932:(2018)
1928:&
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1913:(2016)
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427:, and
288:, and
236:Madras
172:Fields
144:Awards
128:Spouse
1950:2020s
1862:2010s
1761:2000s
1680:1990s
1591:1980s
1344:(PDF)
1337:(PDF)
1234:(PDF)
1158:(PDF)
1086:(PDF)
1005:S2CID
979:arXiv
954:S2CID
920:arXiv
868:S2CID
831:S2CID
823:JSTOR
782:S2CID
732:S2CID
699:JSTOR
654:(2).
631:JSTOR
590:S2CID
440:Books
308:Delhi
240:Hindu
1399:2013
1366:ISBN
1319:2013
1289:2023
1225:and
1209:2023
1149:and
1128:help
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1030:ISSN
946:ISSN
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879:2023
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