| 词条 | Jeff Kahn |
| 释义 |
In 1980 he showed the importance of the bundle theorem for ovoidal Möbius planes.[2] In 1993, together with Gil Kalai, he disproved Borsuk's conjecture.[3] In 1996 he was awarded the Pólya Prize (SIAM). In 2004, with David Galvin[4] he made seminal contributions to the combinatorial theory of phase transitions.{{citation needed|date=July 2015}} He was an invited speaker at the 1994 International Congress of Mathematicians in Zurich. In 2012, he was awarded the Fulkerson Prize (jointly with Anders Johansson and Van H. Vu) for determining the threshold of edge density above which a random graph can be covered by disjoint copies of a given smaller graph.[5][6] Also in 2012, he became a fellow of the American Mathematical Society.[7] References1. ^{{MathGenealogy |id=9979}} {{authority control}}{{DEFAULTSORT:Kahn, Jeffry Ned}}2. ^Inversive planes satisfying the bundle theorem, Journal Combinatorial Theory, Serie A, Vol.29, 1980, p. 1-19 3. ^{{citation|first1=Jeff|last1=Kahn|first2=Gil|last2=Kalai|author2-link=Gil Kalai|arxiv=math.MG/9307229 |title=A counterexample to Borsuk's conjecture|journal=Bulletin of the American Mathematical Society |volume=29|year=1993|pages=60–62|doi=10.1090/S0273-0979-1993-00398-7|mr=1193538}}. 4. ^{{citation|first1=David|last1=Galvin|first2=Jeff|last2=Kahn|title=On phase transition in the hard-core model on Zd|journal=Combin. Probab. Comput.|volume=13|year=2004|pages=137–164|doi=10.1017/S0963548303006035|mr=2047233}}. 5. ^{{cite journal | url=https://arxiv.org/pdf/0803.3406.pdf | title=Factors in random graphs | author=Anders Johansson, Jeff Kahn, and Van H. Vu | journal=Random Structures and Algorithms | year=2008 | volume=33 | issue=1 | pages=1–28 | doi=10.1002/rsa.20224}} 6. ^{{cite web |url=http://www.ams.org/profession/prizes-awards/ams-prizes/fulkerson-prize |title=Delbert Ray Fulkerson Prize |publisher= American Mathematical Society (AMS) |accessdate= 3 Jan 2013 }} 7. ^List of Fellows of the American Mathematical Society, retrieved 2013-01-27. 7 : Living people|20th-century American mathematicians|21st-century American mathematicians|Combinatorialists|Rutgers University faculty|Fellows of the American Mathematical Society|Year of birth missing (living people) |
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