请输入您要查询的百科知识：

　

词条 Oded Schramm
释义

  1. Biography

  2. Research

  3. Awards and honors

  4. Conferences and symposia

  5. Selected publications

  6. References

  7. External links

{{Infobox scientist
|name = Oded Schramm
|image = OdedSchramm.jpeg
|image_size = 150px
|caption = Oded Schramm
|birth_date = {{Birth date|mf=yes|1961|12|10}}
|birth_place = Jerusalem
|death_date = {{Death date and age|mf=yes|2008|09|01|1961|12|10}}
|death_place = Washington, United States
|residence =
|citizenship = Israeli and US
|nationality =
|ethnicity =
|fields =
|workplaces = Microsoft Research
|alma_mater =
|doctoral_advisor = William Thurston
|academic_advisors =
|doctoral_students = Omer Angel
|notable_students =
|known_for = SLE, circle packing
|author_abbrev_bot =
|author_abbrev_zoo =
|influences =
|influenced =
|awards = Erdős Prize (1996)
Salem Prize (2001)
Clay Research Award (2002)
Loève Prize (2003)
Henri Poincaré Prize (2003)
SIAM
George Pólya Prize (2006)
Ostrowski Prize (2007)
|religion =
|signature =
|footnotes =
}}Oded Schramm ({{lang-he|עודד שרם}}; December 10, 1961 – September 1, 2008) was an Israeli-American mathematician known for the invention of the Schramm–Loewner evolution (SLE) and for working at the intersection of conformal field theory and probability theory.[1][2]

Biography

Schramm was born in Jerusalem.[3] His father, Michael Schramm, was a biochemistry professor at the Hebrew University of Jerusalem.

He attended Hebrew University where he received his bachelor's degree in mathematics and computer science in 1986 and his master's degree in 1987, under the supervision of Gil Kalai. He then received his Ph.D. from Princeton University in 1990 under the supervision of William Thurston.

After receiving his doctorate, he worked for two years at the University of California, San Diego, and then had a permanent position at the Weizmann Institute from 1992 to 1999. In 1999 he moved to the Theory Group at Microsoft Research in Redmond, Washington, where he remained for the rest of his life.

He and his wife had two children, Tselil and Pele.[3]

On September 1, 2008, Schramm fell to his death while solo climbing Guye Peak, north of Snoqualmie Pass in Washington.[3][4][5]

Research

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 conformally invariant.

Schramm's most significant contribution was the invention of Schramm–Loewner evolution, a tool which has paved the way for mathematical proofs of conjectured scaling limit relations[6][7] on models from statistical mechanics such as self-avoiding random walk and percolation. This technique has had a profound impact on the field.[3][11] It has been recognized by many awards to Schramm and others, including a Fields Medal to Wendelin Werner, who was one of Schramm's principal collaborators, along with Gregory Lawler. The New York Times wrote in his obituary:

{{quote|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.}}

Schramm's doctorate [8] was in complex analysis, 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.[9]

Besides conformally invariant planar processes and SLE, he made fundamental contributions to several topics:[10]

  • Circle packings and discrete conformal geometry.
  • Embeddings of Gromov hyperbolic spaces.
  • Percolation, uniform and minimal spanning trees and forests, harmonic functions on Cayley graphs of infinite finitely generated groups (especially non-amenable groups) and the hyperbolic plane.
  • Limits of sequences of finite graphs.
  • Noise sensitivity of Boolean functions, with applications to dynamical percolation.
  • Random turn games (e.g. random turn hex) and the infinity Laplacian equation.
  • Random permutations.

Awards and honors

  • Erdős Prize (1996)[11]
  • Salem Prize (2001)[12]
  • Clay Research Award (2002),[13] for his 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 fields. [13]
  • Loève Prize (2003)
  • Henri Poincaré Prize (2003),[14] 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 scaling limits in two dimensional statistical mechanics.[15]
  • SIAM George Pólya Prize (2006),[16] with Gregory Lawler and Wendelin Werner, for 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 physics. [17]
  • Ostrowski Prize (2007)
  • Elected in 2008 as a foreign member of the Royal Swedish Academy of Sciences.[18]

Selected publications

  • {{Citation | last1=Schramm | first1=Oded | title=Scaling limits of loop-erased random walks and uniform spanning trees | arxiv=math.PR/9904022 | mr=1776084 | year=2000 | journal=Israel Journal of Mathematics | volume=118 | pages=221–288 | doi=10.1007/BF02803524}}. Schramm's paper introducing the Schramm–Loewner evolution.
  • {{Citation | last1=Schramm | first1=Oded | title=International Congress of Mathematicians. Vol. I | publisher=Eur. Math. Soc., Zürich | mr=2334202 | year=2007 | chapter=Conformally invariant scaling limits: an overview and a collection of problems | pages=513–543|arxiv=math/0602151|isbn= 978-3-03719-022-7 |bibcode = 2006math......2151S | doi=10.4171/022-1/20}}
  • {{citation|mr=2885266 |last=Schramm|first= Oded

|title=Selected works of Oded Schramm|editor1-first= Itai |editor1-last=Benjamini|editor1-link=Itai Benjamini |editor2-first= Olle|editor2-last= Häggström|series=Selected Works in Probability and Statistics|publisher= Springer|place= New York|year= 2011|isbn= 978-1-4419-9674-9 |doi=10.1007/978-1-4419-9675-6}}

References

1. ^{{cite web| title = Clay Mathematics Institute| accessdate = 2008-09-12| url = http://www.claymath.org/research_award/Schramm/}}
2. ^{{citation|first=Gregory F.|last=Lawler|authorlink=Greg Lawler|series=Mathematical Surveys and Monographs|volume=114|title=Conformally Invariant Processes in the Plane|publisher=American Mathematical Society|year=2005|isbn=0-8218-3677-3|location=Providence, RI|mr=2129588}}
3. ^1 2 3 {{citation | last = Chang | first = Kenneth | date = September 10, 2008 | journal = New York Times | title = Oded Schramm, 46, Mathematician, Is Dead | url = https://www.nytimes.com/2008/09/11/science/11schramm.html}}
4. ^{{citation | last = Gutierrez | first = Scott | date = September 3, 2008 | journal = Seattle Post-Intelligencer | title = Rescuers recover hiker's body near Cascades' Guye Peak | url = http://www.seattlepi.com/local/377577_hiker04.html}}
5. ^{{citation |date = September 4, 2008 |journal = Seattle Times |title = Accomplished Microsoft mathematician died in hiking accident |url = http://blog.seattletimes.nwsource.com/techtracks/2008/09/04/accomplished_microsoft_mathematician_died_in_hikin.html |deadurl = yes |archiveurl = https://web.archive.org/web/20080922113114/http://blog.seattletimes.nwsource.com/techtracks/2008/09/04/accomplished_microsoft_mathematician_died_in_hikin.html |archivedate = September 22, 2008 |df = }}
6. ^{{citation|title=Critical percolation in finite geometries|first=John|last= Cardy|authorlink=John Cardy|year= 1992| journal=J. Phys. A: Math. Gen.|volume= 25|pages= L201–L206|url=http://www.iop.org/EJ/abstract/0305-4470/25/4/009/|doi=10.1088/0305-4470/25/4/009|bibcode=1992JPhA...25L.201C|arxiv = hep-th/9111026|issue=4|mr=1151081}}
7. ^{{citation |url=http://www.iop.org/EJ/article/0305-4470/35/41/102/a241l2.html|first=John|last=Cardy|authorlink=John Cardy|journal=J. Phys. A: Math. Gen.|volume= 35 |pages= L565–L572|year=2002|title=Crossing formulae for critical percolation in an annulus |doi=10.1088/0305-4470/35/41/102 |issue=41|mr=1946958|arxiv=math-ph/0208019}}
8. ^{{citation | title=Combinatorically Prescribed Packings and Applications to Conformal and Quasiconformal Maps|format=modified version of Schramm's Ph.D. thesis from 1990|year=2007|first=Oded|last=Schramm|arxiv=0709.0710|bibcode = 2007PhDT.......441S | volume=0709 | pages=710 }}.
9. ^{{citation | date = September 19, 2008 | journal = Daily Telegraph | title = Mathematician who made a significant contribution to the study of probability and fractals | url = https://www.telegraph.co.uk/news/obituaries/2984516/Oded-Schramm.html}}
10. ^1 {{cite web | title = Oded Schramm's publications on Google Scholar | url = https://scholar.google.com/scholar?hl=en&lr=&q=Oded+Schramm}}
11. ^The Anna and Lajos Erdős Prize in Mathematics, Technion.
12. ^{{citation|url=http://www.ams.org/notices/200108/people.pdf|title=Schramm and Smirnov Awarded 2001 Salem Prize|last=Kehoe|first=Elaine|journal=Notices of the American Mathematical Society|volume=48|year=2001|issue=8|pages=831}}
13. ^1 {{cite web|url=http://www.claymath.org/research_award/Schramm/|title=Clay Research Award citation: Oded Schramm|publisher= Clay Mathematics Institute|accessdate=2008-09-04}}
14. ^{{cite web|url=http://www.iamp.org/poincare/|title=The Henri Poincaré Prize|publisher=International Association of Mathematical Physics|accessdate=2008-09-04}}
15. ^{{cite web|url=http://www.iamp.org/poincare/os03-laud.pdf|title=Henri Poincaré Prize of the IAMP|publisher=International Association of Mathematical Physics}}
16. ^{{cite web|url=http://www.siam.org/publicawareness/panews.php?id=967|title=Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston|publisher=Society for Industrial and Applied Mathematics|date=2006-04-20|accessdate=2008-09-04}}
17. ^{{cite web|url=http://www.siam.org/prizes/2006_luncheon.php|title=2006 Prizes and Awards Luncheon – SIAM Annual Meeting – July 11, 2006|publisher=SIAM}}
18. ^{{cite web| title = About Microsoft Research: Awards| accessdate = 2008-09-12| url = http://research.microsoft.com/aboutmsr/pastpresentfuture/awards.aspx|publisher=Microsoft}}
19. ^http://research.microsoft.com/en-us/um/people/schramm/workshop/

External links

  • Tutorial: SLE, video of MSRI lecture given jointly by Schramm, Lawler and Werner in the special session at the Lawrence Hall of Science, University of California, Berkeley in May 2001.
  • Conformally Invariant Scaling Limits and SLE, MSRI presentation by Oded Schramm, May 2001.
  • Terence Tao, "Oded Schramm".
  • Publication list
  • {{MathGenealogy |id=18911}}
  • Oded Schramm Memorial page
  • Oded Schramm Memorial blog
  • Oded Schramm Memorial Workshop – August 30–31, 2009 at Microsoft Research
  • [https://web.archive.org/web/20100507175957/http://bulletin.imstat.org/pdf/37/9 Oded Schramm obituary in the IMS Bulletin]
  • {{MacTutor Biography|id=Schramm}}
{{Authority control}}{{DEFAULTSORT:Schramm, Oded}}

16 : 1961 births|2008 deaths|Probability theorists|Israeli mathematicians|American people of Israeli descent|20th-century American mathematicians|21st-century mathematicians|Princeton University alumni|People from Jerusalem|Mountaineering deaths|Sports deaths in Washington (state)|Members of the Royal Swedish Academy of Sciences|People from Redmond, Washington|Hebrew University of Jerusalem alumni|Weizmann Institute faculty|Clay Research Award recipients
随便看

　

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。

　

Copyright © 2023 OENC.NET All Rights Reserved
京ICP备2021023879号 更新时间：2024/11/10 21:11:13