József Beck (Budapest, Hungary, February 14, 1952)[1] is a Harold H. Martin Professor of Mathematics at Rutgers University.[2]
His contributions to combinatorics include the partial colouring lemma and the Beck–Fiala theorem in discrepancy theory, the algorithmic version of the Lovász local lemma, the two extremes theorem in combinatorial geometry and the second moment method in the theory of positional games, among others.
Beck was awarded the Fulkerson Prize in 1985 for a paper titled "Roth's estimate of the discrepancy of integer sequences is nearly sharp",[3] which introduced the notion of discrepancy on hypergraphs and established an upper bound on the discrepancy of the family of arithmetic progressions contained in {1,2,...,n}, matching the classical lower bound up to a polylogarithmic factor. Jiří Matoušek and Joel Spencer later succeeded in getting rid of this factor, showing that the bound was really sharp.
Beck gave an invited talk at the 1986 International Congress of Mathematicians.[4] He is an external member of the Hungarian Academy of Sciences (2004).[1]
Books
edit- Irregularities of Distribution (with William W. L. Chen, Cambridge Tracts in Mathematics 89, Cambridge University Press, 1987)[5]
- Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications 114, Cambridge University Press, 2008)[6]
- Inevitable Randomness in Discrete Mathematics (University Lecture Series 49, American Mathematical Society, 2009)[7]
- Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics. Springer-Verlag, 2014)[8]
- Strong Uniformity and Large Dynamical Systems (World Scientific Publishing, 2018)[9]
References
edit- ^ a b MEMBERS OF HAS. Archived 2009-12-03 at the Wayback Machine Hungarian Academy of Sciences. Accessed January 23, 2010
- ^ Faculty. Department of Mathematics, Rutgers University. Accessed January 23, 2010.
- ^ Delbert Ray Fulkerson Prize, American Mathematical Society. Accessed January 23, 2010.
- ^ J. Beck, Uniformity and irregularity. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), pp. 1400–1407, American Mathematical Society, Providence, RI, 1987, ISBN 0-8218-0110-4
- ^ Reviews of Irregularities of Distribution:
- Faure, Henri (1988), Mathematical Reviews, doi:10.1017/CBO9780511565984, ISBN 9780511565984, MR 0903025
{{citation}}: CS1 maint: untitled periodical (link) - Schmidt, W. M. (November 1988), Bulletin of the London Mathematical Society, 20 (6): 622–625, doi:10.1112/blms/20.6.622
{{citation}}: CS1 maint: untitled periodical (link)
- Faure, Henri (1988), Mathematical Reviews, doi:10.1017/CBO9780511565984, ISBN 9780511565984, MR 0903025
- ^ Reviews of Combinatorial Games: Tic-Tac-Toe Theory:
- Burke, Kyle (July 2008), "Review", MAA Reviews
- Pultr, A. (2009), Mathematical Reviews, doi:10.1017/CBO9780511735202, ISBN 9780511735202, MR 2402857
{{citation}}: CS1 maint: untitled periodical (link) - Gasarch, William (August 2012), SIGACT News, 43 (3): 19–21, doi:10.1145/2421096.2421099, S2CID 13291558
{{citation}}: CS1 maint: untitled periodical (link)
- ^ Reviews of Inevitable Randomness in Discrete Mathematics:
- Satzer, William J. (November 2009), "Review", MAA Reviews
- Zito, Michele (2010), Mathematical Reviews, University Lecture Series, 49, doi:10.1090/ulect/049, ISBN 978-0-8218-4756-5, MR 2543141, S2CID 118472623
{{citation}}: CS1 maint: untitled periodical (link) - Conlon, David (2011), Bulletin of the London Mathematical Society, 43 (5): 1021–1023, doi:10.1112/blms/bdr063, MR 2894450
{{citation}}: CS1 maint: untitled periodical (link) - Rojas, J. Maurice (2013), Bulletin of the American Mathematical Society, New Series, 50 (3): 481–487, doi:10.1090/S0273-0979-2013-01407-1, MR 3049873
{{citation}}: CS1 maint: untitled periodical (link)
- ^ Reviews of Probabilistic Diophantine Approximation:
- Glass, Darren (July 2015), "Review", MAA Reviews
- Strauch, Oto (2014), Mathematical Reviews, Springer Monographs in Mathematics, doi:10.1007/978-3-319-10741-7, ISBN 978-3-319-10740-0, MR 3308897
{{citation}}: CS1 maint: untitled periodical (link)
- ^ Review of Strong Uniformity and Large Dynamical Systems:
External links
edit- József Beck, personal webpage, Department of Mathematics, Rutgers University
- József Beck, Mathematics Genealogy Project
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