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.
Carl SvanteJanson (born 21 May 1955) is a Swedish mathematician. A member of the Royal Swedish Academy of Sciences since 1994, Janson has been the chaired...
sense is like the product of the two functions it acts on. According to SvanteJanson and Jaak Peetre, in an article from 1988, "the name 'paraproduct' denotes...
Beatrice (born 1958). He has supervised 29 PhD students. They include SvanteJanson, Kurt Johansson, Warwick Tucker, Bengt Rosén, Per Sjölin, Hans Wallin...
constant). Frieze and Steele also proved convergence in probability. SvanteJanson proved a central limit theorem for weight of the MST. For uniform random...
Compression to Learning 2022 AofA Conference Philadelphia, PA, USA 2021 2022 SvanteJanson The Sum of Powers of Subtrees Sizes for Random Trees 2022 AofA Conference...
Svante Henryson (born 22 October 1963 in Stockholm, Sweden) is a composer, cellist, bass guitarist and double bassist, active within jazz, classical music...
Harary, Frank (1995). Graph Theory. Addison Wesley. ISBN 0-201-41033-8. Janson, Svante; Knuth, Donald E.; Luczak, Tomasz; Pittel, Boris (1993). "The birth...
STAN-CS-79-726. Archived from the original (PDF) on 4 March 2019. Janson, Svante; Knuth, Donald E. (1997). "Shellsort with Three Increments" (PDF). Random...
b. Janson, Svante; Luczak, Malwina J. (2007), "A simple solution to the k-core problem", Random Structures & Algorithms, 30 (1–2): 50–62, doi:10.1002/rsa...
Series A, 24 (1): 24–33, doi:10.1016/0097-3165(78)90042-0, MR 0462961. Janson, Svante (2008), "Plane recursive trees, Stirling permutations and an urn model"...
for service to the profession through editorial and committee work". Janson, Svante; Olhede, Sofia (2021). "Can smooth graphons in several dimensions be...
14 Feb 2021. Bollobás, Béla (1985). Random Graphs. Academic Press. Janson, Svante (2018). "On Edge Exchangeable Random Graphs". J Stat Phys. 173 (3–4):...
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