Knowledge

Leonid Kantorovich

Source 📝

318: 562: 1156: 590: 793: 578: 49: 319: 422:. He calculated the optimal distance between cars on ice in dependence of the thickness of ice and the temperature of the air. In December 1941 and January 1942, Kantorovich walked himself between cars driving on the ice of 1047: 1230: 1139: 2206: 1223: 1006:(2002). "History of mathematical programming in the USSR: Analyzing the phenomenon (Chapter 3 The pioneer: L. V. Kantorovich, 1912–1986, pp. 405–407)". 2246: 2221: 1216: 1239: 364:. He graduated from the Faculty of Mathematics and Mechanics in 1930, and began his graduate studies. In 1934, at the age of 22 years, he became a full professor. 2211: 2201: 589: 1183: 1911: 2216: 1003: 975: 1857: 1838: 1823: 1804: 988:
Functional analysis, optimization, and mathematical economics: A collection of papers dedicated to the memory of Leonid Vital'evich Kantorovich
944:
Functional analysis, optimization, and mathematical economics: A collection of papers dedicated to the memory of Leonid Vitalʹevich Kantorovich
173: 2191: 2186: 2181: 99: 1133: 2196: 743: 548: 2241: 2060: 1243: 456: 415: 407: 341: 184: 497:, especially in Dedekind complete vector lattices called "K-spaces" which are now referred to as "Kantorovich spaces" in his honor. 426:
on the Road of Life to ensure that cars did not sink. However, many cars with food for survivors of the siege were destroyed by the
2311: 2176: 2231: 1115: 983:
Makarov, V. L. ; Sobolev, S. L. "Academician L. V. Kantorovich (19 January 1912 to 7 April 1986)".
2261: 2236: 1904: 332:, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of 2226: 2029: 670: 536: 169: 828: 822: 1072:, Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences. Also published in the 561: 2145: 2140: 2135: 2130: 2125: 2115: 2110: 2105: 2100: 2095: 1897: 951: 532: 361: 234: 2266: 2251: 889: 238: 2306: 2271: 1208: 2301: 1959: 621: 606: 368: 2281: 1099: 353: 2256: 449: 280: 2316: 2276: 786: 657:. International Series in Operations Research & Management Science. Vol. 147. pp. 157–170. 17: 2291: 1176: 431: 222: 135: 1955: 1709: 1110: 372: 1930: 1120: 913: 851: 792: 218: 2089: 1773: 1998: 509: 153: 2286: 472: 145: 2296: 2171: 2166: 1693: 1510: 1192: 1031: 995: 961: 936: 927: 881: 725: 480: 111: 8: 2049: 1721: 1106: 552: 525: 513: 501: 491: 476: 252: 161: 1155: 756:
Kantorovich, L.V. (1939). "Mathematical Methods of Organizing and Planning Production".
463:, was given "for their contributions to the theory of optimum allocation of resources." 1637: 1035: 969: 804: 773: 611: 577: 544: 540: 521: 411: 380: 333: 165: 149: 1777: 2074: 2012: 1979: 1749: 1745: 1717: 1705: 1470: 1430: 1422: 1323: 1065: 947: 932: 923: 909: 895: 666: 460: 448:, where he created and took charge of the Department of Computational Mathematics in 157: 1039: 711: 690: 1869: 1831: 1808: 1793: 1649: 1542: 1522: 1370: 1362: 1299: 1019: 765: 706: 658: 505: 400: 357: 337: 312: 300: 248: 229: 190: 76: 1406: 2043: 2037: 2018: 1987: 1968: 1944: 1865: 1633: 1621: 1613: 1609: 1601: 1574: 1534: 1514: 1462: 1454: 1374: 1342: 1311: 1238: 1200: 1027: 991: 957: 877: 846: 662: 517: 484: 490:
In particular, Kantorovich formulated some fundamental results in the theory of
1938: 1877: 1846: 1816: 1785: 1665: 1597: 1593: 1562: 1530: 1498: 1446: 1398: 1382: 1271: 1083: 899: 857: 841: 808: 797: 686: 384: 2160: 1889: 1733: 1729: 1701: 1689: 1673: 1657: 1645: 1625: 1570: 1546: 1506: 1466: 1414: 1307: 1291: 1279: 1263: 1259: 1172: 1069: 906:, International Society for Mathematical Sciences, Osaka, Japan, January 2007 874:"My journey in science (supposed report to the Moscow Mathematical Society)" 595:
Original CIA file on Kantorovich, seized from the former US Embassy in Tehran
568: 325: 1095: 946:. New York: The Clarendon Press, Oxford University Press. pp. xvi+341. 1861: 1850: 1827: 1812: 1765: 1681: 1494: 1478: 1438: 1350: 616: 419: 125: 1150: 1023: 48: 1921: 1757: 1741: 1669: 1554: 1486: 1390: 1354: 769: 494: 445: 423: 208: 1842: 1797: 1287: 1127: 1050:, The British Journal for the History of Science. 2020. 53(2): 255-278. 861: 777: 653:
Gass, Saul I.; Rosenhead, J. (2011). "Leonid Vital'evich Kantorovich".
276: 1136:
from the Institute for Operations Research and the Management Sciences
2006: 1144: 427: 329: 823:"Mathematics in Economics: Achievements, Difficulties, Perspectives" 643:, By Aron Kat︠s︡enelinboĭgen, page 406, Transaction Publishers, 1990 441:
In 1948 Kantorovich was assigned to the atomic project of the USSR.
920:(Сибирский мат. журн.), 2007, V. 48, No. 1, 3–4, November 29, 2006. 399:(Russian original 1936). For his work, Kantorovich was awarded the 850:. Princeton University Press and the RAND Corporation, 1963. Cf. 430:
airstrikes. For his feat and courage Kantorovich was awarded the
376: 389:
The Mathematical Method of Production Planning and Organization
115: 95: 395:(Russian original 1959), and, with Vladimir Ivanovich Krylov, 324:; 19 January 1912 – 7 April 1986) was a Soviet 379:
industry. He devised the mathematical technique now known as
2207:
Academic staff of Military Engineering-Technical University
360:. In 1926, at the age of fourteen, he began his studies at 741:
Makarov, V. (1987). "Kantorovich, Leonid Vitaliyevich".
1048:
Programming the USSR: Leonid V. Kantorovich in context
862:"On an Industrial Programming Problem of Kantorovich" 2247:
Recipients of the Order of the Red Banner of Labour
2222:
Academic staff of Saint Petersburg State University
535:problems, such as the Kantorovich-Monge problem in 1128:Information about: Leonid Vitaliyevich Kantorovich 805:Spreadsheet presenting all examples of Kantorovich 1184:Laureate of the Nobel Memorial Prize in Economics 1104: 2158: 313:[lʲɪɐˈnʲitvʲɪˈtalʲjɪvʲɪtɕkəntɐˈrovʲɪtɕ] 2212:Academic staff of Novosibirsk State University 1919: 1084:"On Leonid Kantorovich and linear programming" 383:in 1939, some years before it was advanced by 356:family. His father was a doctor practicing in 352:Kantorovich was born on 19 January 1912, to a 1905: 1224: 652: 2202:Full Members of the USSR Academy of Sciences 1244:Sveriges Riksbank Prize in Economic Sciences 1140:Biographical documentary about L.Kantorovich 974:: CS1 maint: multiple names: authors list ( 868:, Vol. 8, No. 1 (Oct., 1961), pp. 13–17 641:The Soviet Union: empire, nation, and system 444:After 1960, Kantorovich lived and worked in 892:, Nobel Memorial Lecture, December 11, 1975 755: 744:The New Palgrave: A Dictionary of Economics 1912: 1898: 1231: 1217: 1154: 982: 928:"Mathematics and Economics of Kantorovich" 685: 47: 710: 408:Military Engineering-Technical University 342:Nobel Memorial Prize in Economic Sciences 185:Nobel Memorial Prize in Economic Sciences 2217:Saint Petersburg State University alumni 1053: 825:, Nobel Prize lecture, December 11, 1975 170:Monge–Kantorovich transportation problem 1116:MacTutor History of Mathematics Archive 1076:, Volume 43 (2002), No. 1, pp. 3–8 942:Leifman, Lev J., ed. (1990). 941: 890:"Concepts of optimality and their uses" 871: 740: 475:, Kantorovich had important results in 14: 2159: 1002: 695:by L. V. Kantorovich and V. I. Krylov" 693:Approximate methods of higher analysis 397:Approximate methods of higher analysis 387:. He authored several books including 1893: 1212: 811:Calc Solver as well as the lp_solver. 406:After 1939, he became a professor at 311: 2192:People from Sankt-Peterburgsky Uyezd 2187:Mathematicians from Saint Petersburg 787:"The Best Use of Economic Resources" 2182:20th-century Russian mathematicians 1070:"Leonid V. Kantorovich (1912–1986)" 829:"Autobiography: Leonid Kantorovich" 434:, and was decorated with the medal 393:The Best Uses of Economic Resources 174:Szász–Mirakjan–Kantorovich operator 24: 2197:Fellows of the Econometric Society 835: 726:Kantorovich`s biography in Russian 367:Later, Kantorovich worked for the 25: 2328: 1089: 847:Linear programming and extensions 533:infinite-dimensional optimization 504:could be used in the analysis of 414:, Kantorovich was a professor at 27:Russian mathematician (1912–1986) 2242:Recipients of the Order of Lenin 791: 588: 576: 560: 2312:Burials at Novodevichy Cemetery 2177:20th-century Russian economists 1320:Leonid Vitaliyevich Kantorovich 900:"The World Line of Kantorovich" 712:10.1090/S0002-9904-1960-10408-9 655:Profiles in Operations Research 2232:Recipients of the Stalin Prize 1046:Ivan Boldyrev and Till Düppe, 719: 679: 646: 634: 622:List of Jewish Nobel laureates 607:List of Russian mathematicians 466: 297:Leonid Vitalyevich Kantorovich 63:Leonid Vitalyevich Kantorovich 13: 1: 2262:General equilibrium theorists 2237:Recipients of the Lenin Prize 1100:Mathematics Genealogy Project 1074:Siberian Mathematical Journal 734: 541:Kantorovich–Rubinstein metric 166:Kantorovich–Rubinstein metric 2227:Nobel laureates in Economics 1134:Biography Leonid Kantorovich 854:for the work of Kantorovich. 663:10.1007/978-1-4419-6281-2_10 539:. His analysis proposed the 450:Novosibirsk State University 418:and worked on safety of the 347: 305:Леонид Витальевич Канторович 7: 600: 371:. He was given the task of 336:. He was the winner of the 10: 2333: 1941:(United Kingdom/Australia) 1312:Friedrich August von Hayek 1177:Friedrich August von Hayek 1054:Spufford, Francis (2010). 914:"Kantorovich's Phenomenon" 784:Kantorovich, L.V. (1959). 432:Order of the Patriotic War 362:Leningrad State University 223:Leningrad State University 136:Leningrad State University 2084: 2059: 2028: 1997: 1978: 1954: 1929: 1710:Christopher A. Pissarides 1584: 1333: 1250: 1197: 1181: 1169: 1164: 1124:(With additional photos.) 391:(Russian original 1939), 304: 290: 286: 275: 270: 266: 262: 258: 244: 228: 214: 204: 197: 179: 141: 131: 121: 107: 84: 58: 46: 39: 32: 1121:University of St Andrews 1008:Mathematical Programming 872:Kantorovich, L. V. 803:Klaus Hagendorf (2008). 627: 510:Kantorovich inequalities 500:Kantorovich showed that 436:For Defense of Leningrad 219:USSR Academy of Sciences 2267:Mathematical economists 2252:Approximation theorists 888:Koopmans, Tjalling C., 547:, in the theory of the 531:Kantorovich considered 459:, which he shared with 281:IDEAS / RePEc 2307:Soviet Nobel laureates 2272:Operations researchers 2090:Nobel Prize recipients 2030:Physiology or Medicine 154:Kantorovich inequality 2302:Soviet mathematicians 1431:James M. Buchanan Jr. 1024:10.1007/s101070100258 831:, Nobel Prize website 821:Kantorovich, Leonid, 699:Bull. Amer. Math. Soc 473:mathematical analysis 146:Cutting stock problem 2282:Variational analysts 1694:Oliver E. Williamson 1324:Tjalling C. Koopmans 1193:Tjalling C. Koopmans 1111:"Leonid Kantorovich" 1107:Robertson, Edmund F. 770:10.1287/mnsc.6.4.366 553:probability measures 481:approximation theory 457:Nobel Memorial Prize 235:Grigorii Fichtenholz 112:Novodevichy Cemetery 2257:Functional analysts 2050:Howard Martin Temin 1722:Christopher A. Sims 1650:Thomas C. Schelling 1622:Robert F. Engle III 1523:Robert E. Lucas Jr. 1371:Theodore W. Schultz 1105:O'Connor, John J.; 904:Notices of the ISMS 816:Nobel prize lecture 543:, which is used in 526:Kantorovich theorem 502:functional analysis 477:functional analysis 253:Gennadii Rubinstein 162:Kantorovich theorem 53:Kantorovich in 1975 2317:Russian scientists 2277:Operator theorists 2069:Leonid Kantorovich 1638:Edward C. Prescott 1626:Clive W.J. Granger 1602:Joseph E. Stiglitz 1575:Daniel L. McFadden 1463:Harry M. Markowitz 1190:Served alongside: 1153:on Nobelprize.org 1151:Leonid Kantorovich 1096:Leonid Kantorovich 1082:Vershik, Anatoly, 1004:Polyak, B. T. 866:Management Science 758:Management Science 612:List of economists 545:probability theory 412:Siege of Leningrad 381:linear programming 334:linear programming 158:Kantorovich metric 150:Linear programming 34:Leonid Kantorovich 2292:Soviet economists 2154: 2153: 2075:Tjalling Koopmans 2061:Economic Sciences 2013:Ben Roy Mottelson 1887: 1886: 1786:Richard H. Thaler 1750:Robert J. Shiller 1746:Lars Peter Hansen 1718:Thomas J. Sargent 1706:Dale T. Mortensen 1598:A. Michael Spence 1594:George A. Akerlof 1563:Robert A. Mundell 1531:James A. Mirrlees 1499:Douglass C. North 1471:William F. Sharpe 1423:Franco Modigliani 1399:George J. Stigler 1383:Lawrence R. Klein 1272:Paul A. Samuelson 1207: 1206: 1198:Succeeded by 1066:Kutateladze, S.S. 933:Kutateladze, S.S. 924:Kutateladze, S.S. 918:Siberian Math. J. 910:Kutateladze, S.S. 896:Kutateladze, S.S. 876:. pp. 8–45. 672:978-1-4419-6280-5 506:iterative methods 461:Tjalling Koopmans 369:Soviet government 294: 293: 245:Doctoral students 199:Scientific career 41:Леонид Канторович 16:(Redirected from 2324: 2092: 1914: 1907: 1900: 1891: 1890: 1880: 1872: 1870:Philip H. Dybvig 1853: 1834: 1832:Robert B. Wilson 1819: 1809:Abhijit Banerjee 1800: 1794:William Nordhaus 1788: 1780: 1768: 1760: 1752: 1736: 1734:Lloyd S. Shapley 1724: 1712: 1702:Peter A. Diamond 1696: 1684: 1676: 1674:Roger B. Myerson 1660: 1658:Edmund S. Phelps 1652: 1646:Robert J. Aumann 1640: 1628: 1616: 1604: 1577: 1571:James J. Heckman 1565: 1557: 1549: 1547:Myron S. Scholes 1543:Robert C. Merton 1537: 1525: 1517: 1511:John F. Nash Jr. 1507:John C. Harsanyi 1501: 1489: 1481: 1473: 1467:Merton H. Miller 1457: 1449: 1441: 1433: 1425: 1417: 1409: 1401: 1393: 1385: 1377: 1375:Sir Arthur Lewis 1365: 1363:Herbert A. Simon 1357: 1345: 1326: 1314: 1302: 1300:Wassily Leontief 1294: 1292:Kenneth J. Arrow 1282: 1274: 1266: 1233: 1226: 1219: 1210: 1209: 1170:Preceded by 1162: 1161: 1158: 1123: 1081: 1064: 1059: 1058:. London: Faber. 1043: 999: 990:. pp. 1–7. 979: 973: 965: 937:"My Kantorovich" 885: 860:; Marlow, W.H., 807:, 1939 with the 795: 781: 752: 728: 723: 717: 716: 714: 683: 677: 676: 650: 644: 638: 592: 580: 564: 549:weak convergence 537:transport theory 514:convergence rate 508:, obtaining the 375:production in a 358:Saint Petersburg 340:in 1949 and the 323: 322: 321: 315: 310: 306: 249:Svetlozar Rachev 239:Vladimir Smirnov 230:Doctoral advisor 188: 91: 79:, Russian Empire 77:Saint Petersburg 72: 70: 51: 42: 30: 29: 21: 2332: 2331: 2327: 2326: 2325: 2323: 2322: 2321: 2157: 2156: 2155: 2150: 2088: 2080: 2077:(United States) 2055: 2052:(United States) 2046:(United States) 2044:Renato Dulbecco 2040:(United States) 2038:David Baltimore 2024: 2021:(United States) 2019:James Rainwater 1993: 1988:Andrei Sakharov 1974: 1969:Eugenio Montale 1950: 1945:Vladimir Prelog 1925: 1918: 1888: 1883: 1875: 1866:Douglas Diamond 1856: 1837: 1822: 1803: 1791: 1783: 1778:Bengt Holmström 1771: 1763: 1755: 1739: 1727: 1715: 1699: 1687: 1679: 1663: 1655: 1643: 1634:Finn E. Kydland 1631: 1619: 1614:Vernon L. Smith 1610:Daniel Kahneman 1607: 1591: 1580: 1568: 1560: 1552: 1540: 1535:William Vickrey 1528: 1520: 1515:Reinhard Selten 1504: 1495:Robert W. Fogel 1492: 1484: 1479:Ronald H. Coase 1476: 1460: 1455:Trygve Haavelmo 1452: 1444: 1439:Robert M. Solow 1436: 1428: 1420: 1412: 1404: 1396: 1388: 1380: 1368: 1360: 1348: 1343:Milton Friedman 1340: 1329: 1317: 1305: 1297: 1285: 1277: 1269: 1257: 1246: 1237: 1203: 1201:Milton Friedman 1189: 1187: 1179: 1175: 1145:Rossiya-Culture 1092: 1079: 1062: 967: 966: 954: 842:Dantzig, George 838: 836:Further reading 737: 732: 731: 724: 720: 684: 680: 673: 651: 647: 639: 635: 630: 603: 596: 593: 584: 581: 572: 565: 522:Newton's method 518:gradient method 495:vector lattices 485:operator theory 469: 350: 317: 316: 308: 271:Academic career 251: 237: 221: 189: 183: 172: 168: 164: 160: 156: 152: 148: 132:Alma mater 103: 93: 89: 80: 74: 73:19 January 1912 68: 66: 65: 64: 54: 40: 35: 28: 23: 22: 15: 12: 11: 5: 2330: 2320: 2319: 2314: 2309: 2304: 2299: 2294: 2289: 2284: 2279: 2274: 2269: 2264: 2259: 2254: 2249: 2244: 2239: 2234: 2229: 2224: 2219: 2214: 2209: 2204: 2199: 2194: 2189: 2184: 2179: 2174: 2169: 2152: 2151: 2149: 2148: 2143: 2138: 2133: 2128: 2123: 2118: 2113: 2108: 2103: 2098: 2093: 2085: 2082: 2081: 2079: 2078: 2072: 2071:(Soviet Union) 2065: 2063: 2057: 2056: 2054: 2053: 2047: 2041: 2034: 2032: 2026: 2025: 2023: 2022: 2016: 2010: 2003: 2001: 1995: 1994: 1992: 1991: 1990:(Soviet Union) 1984: 1982: 1976: 1975: 1973: 1972: 1965: 1963: 1952: 1951: 1949: 1948: 1942: 1939:John Cornforth 1935: 1933: 1927: 1926: 1917: 1916: 1909: 1902: 1894: 1885: 1884: 1882: 1881: 1878:Claudia Goldin 1873: 1854: 1847:Joshua Angrist 1835: 1820: 1817:Michael Kremer 1801: 1789: 1781: 1769: 1761: 1753: 1742:Eugene F. Fama 1737: 1725: 1713: 1697: 1685: 1677: 1670:Eric S. Maskin 1666:Leonid Hurwicz 1661: 1653: 1641: 1629: 1617: 1605: 1588: 1586: 1582: 1581: 1579: 1578: 1566: 1558: 1550: 1538: 1526: 1518: 1502: 1490: 1487:Gary S. Becker 1482: 1474: 1458: 1450: 1447:Maurice Allais 1442: 1434: 1426: 1418: 1410: 1402: 1394: 1386: 1378: 1366: 1358: 1355:James E. Meade 1346: 1337: 1335: 1331: 1330: 1328: 1327: 1315: 1303: 1295: 1283: 1275: 1267: 1254: 1252: 1248: 1247: 1236: 1235: 1228: 1221: 1213: 1205: 1204: 1199: 1196: 1180: 1171: 1167: 1166: 1160: 1159: 1148: 1137: 1131: 1125: 1102: 1091: 1090:External links 1088: 1087: 1086: 1077: 1060: 1051: 1044: 1018:(3): 401–416. 1010:. Series  1000: 980: 952: 939: 930: 921: 907: 893: 886: 869: 855: 837: 834: 833: 832: 826: 818: 817: 813: 812: 809:OpenOffice.org 801: 798:Pergamon Press 782: 764:(4): 366–422. 753: 736: 733: 730: 729: 718: 705:(3): 146–147. 678: 671: 645: 632: 631: 629: 626: 625: 624: 619: 614: 609: 602: 599: 598: 597: 594: 587: 585: 582: 575: 573: 566: 559: 468: 465: 385:George Dantzig 354:Russian Jewish 349: 346: 292: 291: 288: 287: 284: 283: 273: 272: 268: 267: 264: 263: 260: 259: 256: 255: 246: 242: 241: 232: 226: 225: 216: 212: 211: 206: 202: 201: 195: 194: 181: 177: 176: 143: 142:Known for 139: 138: 133: 129: 128: 123: 119: 118: 109: 105: 104: 102:, Soviet Union 94: 92:(aged 74) 86: 82: 81: 75: 62: 60: 56: 55: 52: 44: 43: 37: 36: 33: 26: 9: 6: 4: 3: 2: 2329: 2318: 2315: 2313: 2310: 2308: 2305: 2303: 2300: 2298: 2295: 2293: 2290: 2288: 2285: 2283: 2280: 2278: 2275: 2273: 2270: 2268: 2265: 2263: 2260: 2258: 2255: 2253: 2250: 2248: 2245: 2243: 2240: 2238: 2235: 2233: 2230: 2228: 2225: 2223: 2220: 2218: 2215: 2213: 2210: 2208: 2205: 2203: 2200: 2198: 2195: 2193: 2190: 2188: 2185: 2183: 2180: 2178: 2175: 2173: 2170: 2168: 2165: 2164: 2162: 2147: 2144: 2142: 2139: 2137: 2134: 2132: 2129: 2127: 2124: 2122: 2119: 2117: 2114: 2112: 2109: 2107: 2104: 2102: 2099: 2097: 2094: 2091: 2087: 2086: 2083: 2076: 2073: 2070: 2067: 2066: 2064: 2062: 2058: 2051: 2048: 2045: 2042: 2039: 2036: 2035: 2033: 2031: 2027: 2020: 2017: 2014: 2011: 2008: 2005: 2004: 2002: 2000: 1996: 1989: 1986: 1985: 1983: 1981: 1977: 1970: 1967: 1966: 1964: 1961: 1957: 1953: 1947:(Switzerland) 1946: 1943: 1940: 1937: 1936: 1934: 1932: 1928: 1923: 1915: 1910: 1908: 1903: 1901: 1896: 1895: 1892: 1879: 1874: 1871: 1867: 1863: 1859: 1855: 1852: 1848: 1844: 1840: 1836: 1833: 1829: 1825: 1821: 1818: 1814: 1810: 1806: 1802: 1799: 1795: 1790: 1787: 1782: 1779: 1775: 1770: 1767: 1762: 1759: 1754: 1751: 1747: 1743: 1738: 1735: 1731: 1730:Alvin E. Roth 1726: 1723: 1719: 1714: 1711: 1707: 1703: 1698: 1695: 1691: 1690:Elinor Ostrom 1686: 1683: 1678: 1675: 1671: 1667: 1662: 1659: 1654: 1651: 1647: 1642: 1639: 1635: 1630: 1627: 1623: 1618: 1615: 1611: 1606: 1603: 1599: 1595: 1590: 1589: 1587: 1583: 1576: 1572: 1567: 1564: 1559: 1556: 1551: 1548: 1544: 1539: 1536: 1532: 1527: 1524: 1519: 1516: 1512: 1508: 1503: 1500: 1496: 1491: 1488: 1483: 1480: 1475: 1472: 1468: 1464: 1459: 1456: 1451: 1448: 1443: 1440: 1435: 1432: 1427: 1424: 1419: 1416: 1415:Richard Stone 1411: 1408: 1407:Gérard Debreu 1403: 1400: 1395: 1392: 1387: 1384: 1379: 1376: 1372: 1367: 1364: 1359: 1356: 1352: 1347: 1344: 1339: 1338: 1336: 1332: 1325: 1321: 1316: 1313: 1309: 1308:Gunnar Myrdal 1304: 1301: 1296: 1293: 1289: 1288:John R. Hicks 1284: 1281: 1280:Simon Kuznets 1276: 1273: 1268: 1265: 1264:Jan Tinbergen 1261: 1260:Ragnar Frisch 1256: 1255: 1253: 1249: 1245: 1241: 1234: 1229: 1227: 1222: 1220: 1215: 1214: 1211: 1202: 1195: 1194: 1186: 1185: 1178: 1174: 1173:Gunnar Myrdal 1168: 1163: 1157: 1152: 1149: 1147: 1146: 1141: 1138: 1135: 1132: 1130:– IDEAS/RePEc 1129: 1126: 1122: 1118: 1117: 1112: 1108: 1103: 1101: 1097: 1094: 1093: 1085: 1078: 1075: 1071: 1067: 1061: 1057: 1052: 1049: 1045: 1041: 1037: 1033: 1029: 1025: 1021: 1017: 1013: 1009: 1005: 1001: 997: 993: 989: 985: 981: 977: 971: 963: 959: 955: 953:0-19-505729-5 949: 945: 940: 938: 934: 931: 929: 925: 922: 919: 915: 911: 908: 905: 901: 897: 894: 891: 887: 883: 879: 875: 870: 867: 863: 859: 856: 853: 849: 848: 843: 840: 839: 830: 827: 824: 820: 819: 815: 814: 810: 806: 802: 799: 794: 789: 788: 783: 779: 775: 771: 767: 763: 759: 754: 750: 746: 745: 739: 738: 727: 722: 713: 708: 704: 700: 696: 694: 688: 682: 674: 668: 664: 660: 656: 649: 642: 637: 633: 623: 620: 618: 615: 613: 610: 608: 605: 604: 591: 586: 579: 574: 570: 569:Petrov-Vodkin 563: 558: 557: 556: 554: 550: 546: 542: 538: 534: 529: 527: 523: 519: 515: 511: 507: 503: 498: 496: 493: 488: 486: 482: 478: 474: 464: 462: 458: 453: 451: 447: 442: 439: 437: 433: 429: 425: 421: 417: 413: 410:. During the 409: 404: 402: 398: 394: 390: 386: 382: 378: 374: 370: 365: 363: 359: 355: 345: 343: 339: 335: 331: 327: 326:mathematician 320: 314: 302: 298: 289: 285: 282: 278: 274: 269: 265: 261: 257: 254: 250: 247: 243: 240: 236: 233: 231: 227: 224: 220: 217: 213: 210: 207: 203: 200: 196: 192: 186: 182: 178: 175: 171: 167: 163: 159: 155: 151: 147: 144: 140: 137: 134: 130: 127: 124: 120: 117: 113: 110: 108:Resting place 106: 101: 97: 87: 83: 78: 61: 57: 50: 45: 38: 31: 19: 2287:Russian Jews 2120: 2068: 1862:Ben Bernanke 1851:Guido Imbens 1828:Paul Milgrom 1813:Esther Duflo 1766:Angus Deaton 1682:Paul Krugman 1585:2001–present 1351:Bertil Ohlin 1319: 1191: 1188:1975 1182: 1143: 1114: 1080:(in Russian) 1073: 1063:(in Russian) 1055: 1015: 1011: 1007: 987: 984: 943: 917: 903: 873: 865: 858:Isbell, J.R. 845: 785: 761: 757: 748: 742: 721: 702: 698: 692: 681: 654: 648: 640: 636: 617:Shadow price 567:Portrait by 530: 499: 489: 470: 454: 443: 440: 435: 420:Road of Life 416:VITU of Navy 405: 401:Stalin Prize 396: 392: 388: 366: 351: 338:Stalin Prize 296: 295: 215:Institutions 198: 191:Stalin Prize 100:Russian SFSR 90:(1986-04-07) 88:7 April 1986 2297:Soviet Jews 2172:1986 deaths 2167:1912 births 1922:Nobel Prize 1774:Oliver Hart 1758:Jean Tirole 1555:Amartya Sen 1391:James Tobin 691:"Review of 467:Mathematics 446:Novosibirsk 424:Lake Ladoga 277:Information 209:Mathematics 122:Nationality 18:Kantorovich 2161:Categories 1956:Literature 1843:David Card 1798:Paul Romer 1068:, et al., 1056:Red plenty 735:References 687:Kaplan, W. 373:optimizing 69:1912-01-19 2015:(Denmark) 2009:(Denmark) 2007:Aage Bohr 1931:Chemistry 1924:laureates 1334:1976–2000 1251:1969–1975 1240:Laureates 970:cite book 524:(see the 403:in 1949. 348:Biography 344:in 1975. 330:economist 1040:13089965 751:: 14–15. 689:(1960). 601:See also 1999:Physics 1971:(Italy) 1242:of the 1165:Awards 1098:at the 1032:1888984 996:1082564 962:1082562 882:0898626 800:, 1965. 778:2627082 520:and of 516:of the 512:on the 377:plywood 301:Russian 1876:2023: 1792:2018: 1784:2017: 1772:2016: 1764:2015: 1756:2014: 1740:2013: 1728:2012: 1716:2011: 1700:2010: 1688:2009: 1680:2008: 1664:2007: 1656:2006: 1644:2005: 1632:2004: 1620:2003: 1608:2002: 1592:2001: 1569:2000: 1561:1999: 1553:1998: 1541:1997: 1529:1996: 1521:1995: 1505:1994: 1493:1993: 1485:1992: 1477:1991: 1461:1990: 1453:1989: 1445:1988: 1437:1987: 1429:1986: 1421:1985: 1413:1984: 1405:1983: 1397:1982: 1389:1981: 1381:1980: 1369:1979: 1361:1978: 1349:1977: 1341:1976: 1318:1975: 1306:1974: 1298:1973: 1286:1972: 1278:1971: 1270:1970: 1258:1969: 1038:  1030:  994:  960:  950:  880:  776:  669:  571:, 1938 492:normed 483:, and 428:German 205:Fields 193:(1949) 187:(1975) 180:Awards 126:Soviet 116:Moscow 96:Moscow 2121:1975 1980:Peace 1920:1975 1036:S2CID 774:JSTOR 628:Notes 2146:1980 2141:1979 2136:1978 2131:1977 2126:1976 2116:1974 2111:1973 2106:1972 2101:1971 2096:1970 1960:1975 1858:2022 1839:2021 1824:2020 1805:2019 976:link 948:ISBN 852:p.22 667:ISBN 583:1976 455:The 328:and 309:IPA: 85:Died 59:Born 1142:by 1020:doi 986:In: 796:). 766:doi 707:doi 659:doi 551:of 528:). 471:In 438:. 279:at 2163:: 1868:/ 1864:/ 1860:: 1849:/ 1845:/ 1841:: 1830:/ 1826:: 1815:/ 1811:/ 1807:: 1796:/ 1776:/ 1748:/ 1744:/ 1732:/ 1720:/ 1708:/ 1704:/ 1692:/ 1672:/ 1668:/ 1648:/ 1636:/ 1624:/ 1612:/ 1600:/ 1596:/ 1573:/ 1545:/ 1533:/ 1513:/ 1509:/ 1497:/ 1469:/ 1465:/ 1373:/ 1353:/ 1322:/ 1310:/ 1290:/ 1262:/ 1119:, 1113:, 1109:, 1034:. 1028:MR 1026:. 1016:91 1014:. 992:MR 972:}} 968:{{ 958:MR 956:. 935:, 926:, 916:, 912:, 902:, 898:, 878:MR 864:, 844:, 772:. 760:. 747:. 703:66 701:. 697:. 665:. 555:. 487:. 479:, 452:. 307:, 303:: 114:, 98:, 1962:) 1958:( 1913:e 1906:t 1899:v 1232:e 1225:t 1218:v 1042:. 1022:: 1012:B 998:. 978:) 964:. 884:. 790:( 780:. 768:: 762:6 749:3 715:. 709:: 675:. 661:: 299:( 71:) 67:( 20:)

Index

Kantorovich

Saint Petersburg
Moscow
Russian SFSR
Novodevichy Cemetery
Moscow
Soviet
Leningrad State University
Cutting stock problem
Linear programming
Kantorovich inequality
Kantorovich metric
Kantorovich theorem
Kantorovich–Rubinstein metric
Monge–Kantorovich transportation problem
Szász–Mirakjan–Kantorovich operator
Nobel Memorial Prize in Economic Sciences
Stalin Prize
Mathematics
USSR Academy of Sciences
Leningrad State University
Doctoral advisor
Grigorii Fichtenholz
Vladimir Smirnov
Svetlozar Rachev
Gennadii Rubinstein
Information
IDEAS / RePEc
Russian

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.