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For his contributions to discrete conformal geometry, where he discovered new classes of circle patterns described by integrable systems and proved the ultimate results on convergence to the corresponding conformal mappings, and for the discovery of the
Stochastic Loewner Process as a candidate for
416:, but he made contributions in many other areas of pure mathematics, although self-taught in those areas. Frequently he would prove a result by himself before reading the literature to obtain an appropriate credit. Often his proof was original or more elegant than the original.
562:
groundbreaking work on the development and application of stochastic
Loewner evolution (SLE). Of particular note is the rigorous establishment of the existence and conformal invariance of critical scaling limits of a number of 2D lattice models arising in statistical
525:
work in combining analytic power with geometric insight in the field of random walks, percolation, and probability theory in general, especially for formulating stochastic
Loewner evolution. His work opens new doors and reinvigorates research in these
878:
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If Dr. Schramm had been born three weeks and a day later, he would almost certainly have been one of the winners of the Fields Medal, perhaps the highest honor in mathematics, in 2002.
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A constant theme in
Schramm's research was the exploration of relations between discrete models and their continuous scaling limits, which for a number of models turn out to be
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He and his wife had two children, Tselil and Pele. Tselil is an assistant professor of statistics at
Stanford University.
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260:; December 10, 1961 – September 1, 2008) was an Israeli-American mathematician known for the invention of the
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Besides conformally invariant planar processes and SLE, he made fundamental contributions to several topics:
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Schramm, Oded (2007), "Conformally invariant scaling limits: an overview and a collection of problems",
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in mathematics and computer science in 1986 and his master's degree in 1987, under the supervision of
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Schramm, Oded (2000), "Scaling limits of loop-erased random walks and uniform spanning trees",
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1228:"Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston"
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Combinatorically
Prescribed Packings and Applications to Conformal and Quasiconformal Maps
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lecture given jointly by
Schramm, Lawler and Werner in the special session at the
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Oded
Schramm Memorial Workshop – August 30–31, 2009 at Microsoft Research
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778:, Mathematical Surveys and Monographs, vol. 114, Providence, RI:
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703:, Selected Works in Probability and Statistics, New York: Springer,
284:. His father, Michael Schramm, was a biochemistry professor at the
1063:
354:
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394:, who was one of Schramm's principal collaborators, along with
879:"Accomplished Microsoft mathematician died in hiking accident"
310:
After receiving his doctorate, he worked for two years at the
837:
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Schramm's most significant contribution was the invention of
318:
from 1992 to 1999. In 1999 he moved to the Theory Group at
974:"Crossing formulae for critical percolation in an annulus"
647:, vol. 1, Eur. Math. Soc., Zürich, pp. 513–543,
860:"Rescuers recover hiker's body near Cascades' Guye Peak"
542:
scaling limits in two dimensional statistical mechanics.
1076:. Modified version of Schramm's Ph.D. thesis from 1990.
332:
On
September 1, 2008, Schramm fell to his death while
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He attended Hebrew
University, where he received his
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459:of infinite finitely generated groups (especially
1214:International Association of Mathematical Physics
1187:International Association of Mathematical Physics
1450:Members of the Royal Swedish Academy of Sciences
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1032:
645:International Congress of Mathematicians. Vol. I
1465:Academic staff of Weizmann Institute of Science
1040:"Oded Schramm's publications on Google Scholar"
406:
1232:Society for Industrial and Applied Mathematics
1124:"Schramm and Smirnov Awarded 2001 Salem Prize"
326:, where he remained for the rest of his life.
1106:The Anna and Lajos Erdős Prize in Mathematics
481:, with applications to dynamical percolation.
264:(SLE) and for working at the intersection of
8:
1319:Conformally Invariant Scaling Limits and SLE
1154:"Clay Research Award citation: Oded Schramm"
1132:Notices of the American Mathematical Society
776:Conformally Invariant Processes in the Plane
907:"Critical percolation in finite geometries"
573:Elected in 2008 as a foreign member of the
314:, and then had a permanent position at the
819:"Oded Schramm, 46, Mathematician, Is Dead"
18:
1368:Oded Schramm obituary in the IMS Bulletin
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1384:MacTutor History of Mathematics Archive
1325:presentation by Oded Schramm, May 2001.
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858:Gutierrez, Scott (September 3, 2008),
1460:Hebrew University of Jerusalem alumni
817:Chang, Kenneth (September 10, 2008),
7:
1430:21st-century American mathematicians
1425:20th-century American mathematicians
484:Random turn games (e.g. random turn
1445:Sports deaths in Washington (state)
1420:20th-century Israeli mathematicians
887:, September 4, 2008, archived from
312:University of California, San Diego
257:
213:University of California, San Diego
1313:University of California, Berkeley
1275:"About Microsoft Research: Awards"
1207:"Henri Poincaré Prize of the IAMP"
635:. Schramm's paper introducing the
14:
575:Royal Swedish Academy of Sciences
303:in 1990 under the supervision of
299:. He then received his PhD from
29:
1455:People from Redmond, Washington
1057:, vol. 0709, p. 710,
1470:Clay Research Award recipients
701:Selected works of Oded Schramm
470:Limits of sequences of finite
286:Hebrew University of Jerusalem
97:Hebrew University of Jerusalem
1:
1348:Mathematics Genealogy Project
780:American Mathematical Society
591:Israel Journal of Mathematics
1234:. 2006-04-20. Archived from
747:"Clay Mathematics Institute"
451:spanning trees and forests,
1435:Princeton University alumni
1008:10.1088/0305-4470/35/41/102
412:Schramm's doctorate was in
359:An illustration by Schramm.
1496:
1358:Oded Schramm Memorial blog
1353:Oded Schramm Memorial page
1183:"The Henri Poincaré Prize"
1158:Clay Mathematics Institute
941:10.1088/0305-4470/25/4/009
865:Seattle Post-Intelligencer
699:; Häggström, Olle (eds.),
1475:Scientists from Jerusalem
709:10.1007/978-1-4419-9675-6
637:Schramm–Loewner evolution
380:self-avoiding random walk
372:Schramm–Loewner evolution
262:Schramm–Loewner evolution
243:
198:
118:Schramm–Loewner evolution
28:
1389:University of St Andrews
1309:Lawrence Hall of Science
435:Gromov hyperbolic spaces
404:wrote in his obituary:
1480:Erdős Prize recipients
1122:Kehoe, Elaine (2001),
1053:Schramm, Oded (2007),
978:J. Phys. A: Math. Gen.
911:J. Phys. A: Math. Gen.
695:Schramm, Oded (2011),
410:
360:
266:conformal field theory
1440:Mountaineering deaths
1415:Probability theorists
891:on September 22, 2008
582:Selected publications
477:Noise sensitivity of
376:statistical mechanics
365:conformally invariant
358:
16:Israeli mathematician
1375:Robertson, Edmund F.
1095:, September 19, 2008
537:Henri Poincaré Prize
301:Princeton University
280:Schramm was born in
171:Henri Poincaré Prize
102:Princeton University
1373:O'Connor, John J.;
1073:2007PhDT.......441S
1000:2002math.ph...8019C
933:1992JPhA...25L.201C
663:2006math......2151S
521:Clay Research Award
496:Random permutations
461:non-amenable groups
324:Redmond, Washington
155:Clay Research Award
772:Lawler, Gregory F.
615:10.1007/BF02803524
550:George PĂłlya Prize
490:infinity Laplacian
453:harmonic functions
428:conformal geometry
401:The New York Times
361:
320:Microsoft Research
316:Weizmann Institute
270:probability theory
223:Microsoft Research
218:Weizmann Institute
179:George PĂłlya Prize
984:(41): L565–L572,
718:978-1-4419-9674-9
680:978-3-03719-022-7
503:Awards and honors
479:Boolean functions
293:bachelor's degree
247:
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200:Scientific career
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66:September 1, 2008
51:December 10, 1961
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1339:Publication list
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1160:. Archived from
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917:(4): L201–L206,
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840:. Tselil Schramm
838:"Tselil Schramm"
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749:. Archived from
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671:10.4171/022-1/20
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523:(2002), for his
465:hyperbolic plane
414:complex analysis
305:William Thurston
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238:William Thurston
233:Doctoral advisor
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697:Benjamini, Itai
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605:math.PR/9904022
587:
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568:Ostrowski Prize
558:Wendelin Werner
505:
424:Circle packings
392:Wendelin Werner
353:
341:Snoqualmie Pass
278:
227:
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187:Ostrowski Prize
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90:Alma mater
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35:Schramm in 2008
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1379:"Oded Schramm"
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1333:"Oded Schramm"
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1295:External links
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433:Embeddings of
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111:Known for
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85:Israeli and US
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70:(aged 46)
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1301:Tutorial: SLE
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1238:on 2009-05-04
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1344:Oded Schramm
1315:in May 2001.
1282:. Retrieved
1269:
1251:
1240:. Retrieved
1236:the original
1222:
1201:
1190:. Retrieved
1177:
1166:. Retrieved
1162:the original
1136:
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1117:
1101:
1090:
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1054:
1048:
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889:the original
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842:. Retrieved
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755:. Retrieved
751:the original
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654:math/0602151
644:
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561:
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418:
411:
407:
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388:Fields Medal
369:
362:
331:
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250:Oded Schramm
249:
248:
206:Institutions
199:
68:(2008-09-01)
23:Oded Schramm
1410:2008 deaths
1405:1961 births
1329:Terence Tao
1303:, video of
970:Cardy, John
903:Cardy, John
598:: 221–288,
531:Loève Prize
515:Salem Prize
509:Erdős Prize
441:Percolation
384:percolation
339:, north of
163:Loève Prize
147:Salem Prize
139:Erdős Prize
82:Citizenship
1399:Categories
1284:2008-09-12
1242:2008-09-04
1192:2008-09-04
1168:2008-09-04
844:2022-09-04
757:2008-09-12
734:References
488:) and the
463:) and the
345:Washington
334:scrambling
74:Washington
47:1961-12-10
1279:Microsoft
1064:0709.0710
1024:119655247
492:equation.
337:Guye Peak
297:Gil Kalai
282:Jerusalem
276:Biography
55:Jerusalem
1139:(8): 831
1110:Technion
972:(2002),
957:16037415
905:(1992),
774:(2005),
632:17164604
563:physics.
539:(2003),
378:such as
351:Research
258:עודד שרם
57:, Israel
1346:at the
1069:Bibcode
1016:1946958
996:Bibcode
949:1151081
929:Bibcode
798:2129588
727:2885266
689:2334202
659:Bibcode
624:1776084
526:fields.
449:minimal
445:uniform
1022:
1014:
955:
947:
796:
786:
725:
715:
687:
677:
630:
622:
570:(2007)
560:, for
533:(2003)
517:(2001)
511:(1996)
472:graphs
254:Hebrew
190:(2007)
182:(2006)
174:(2003)
166:(2003)
158:(2002)
150:(2001)
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