Svante Janson | |
|---|---|
 Svante Janson | |
| Born | 21 May 1955 |
| Citizenship | Swedish |
| Alma mater | Uppsala University |
| Known for | Janson's inequality[1] (probability) Random graphs (Hoeffding decomposition & U-statistics) "Birth of the giant component" (with coauthors) |
| Awards | Royal Swedish Academy of Sciences (KVA) 1978 Sparre Award (KVA) Royal Scientific Society of Uppsala 1994 Göran Gustafsson prize 2009 Gårding prize (Royal Physiological Society, Lund) |
| Scientific career | |
| Fields | Mathematical analysis Mathematical statistics |
| Institutions | Uppsala University (1980–1984, 1985–present) Mittag-Leffler Institute (1978–1980) University of Chicago (1980–1981) Stockholm University (1984–1985) |
| Doctoral advisor | Lennart Carleson (mathematics, 1977) Carl-Gustav Esseen (mathematical statistics, 1984) |
Carl Svante Janson[2] (born 21 May 1955) is a Swedish mathematician. A member of the Royal Swedish Academy of Sciences since 1994, Janson has been the chaired professor of mathematics at Uppsala University since 1987.
In mathematical analysis, Janson has publications in functional analysis (especially harmonic analysis) and probability theory. In mathematical statistics, Janson has made contributions to the theory of U-statistics.[3][4] In combinatorics, Janson has publications in probabilistic combinatorics, particularly random graphs and in the analysis of algorithms: In the study of random graphs, Janson introduced U-statistics and the Hoeffding decomposition.[5]
- ^ Alon, Noga; Spencer, Joel (2008). The probabilistic method. Wiley-Interscience Series in Discrete Mathematics and Optimization (third ed.). Hoboken, NJ: John Wiley and Sons. pp. 87, 110, 115–119, 120–121, 123, 128, 157–148, 160 (Second edition). ISBN 978-0-470-17020-5. MR 2437651.
- ^ Page 647 in Graham, Ronald L.; Knuth, Donald E.; Patashnik, Oren (1994). Concrete mathematics: A foundation for computer science (Second ed.). Reading, MA: Addison–Wesley Publishing Company. pp. xiv, 657. ISBN 0-201-55802-5. MR 1397498.
- ^ Page 508 in Koroljuk, V. S.; Borovskich, Yu. V. (1994). Theory of U-statistics. Mathematics and its Applications. Vol. 273 (Translated by P. V. Malyshev and D. V. Malyshev from the 1989 Russian original ed.). Dordrecht: Kluwer Academic Publishers Group. pp. x, 552. ISBN 0-7923-2608-3. MR 1472486.
- ^ Pages 381–382 in Borovskikh, Yu. V. (1996). U-statistics in Banach spaces. Utrecht: VSP. pp. xii, 420. ISBN 90-6764-200-2. MR 1419498.
- ^ Page xii in Kwapień, Stanisƚaw; Woyczyński, Wojbor A. (1992). Random series and stochastic integrals: Single and multiple. Probability and its Applications. Boston, MA: Birkhäuser Boston, Inc. pp. xvi+360. ISBN 0-8176-3572-6. MR 1167198.