József Beck

from Wikipedia, the free encyclopedia
József Beck (2004)

József Beck (born February 14, 1952 in Budapest ) is a Hungarian-American mathematician who specializes in combinatorics and analysis.

Beck studied in Budapest and was professor at Rutgers University from 1990 . There he is Harold H. Martin Professor of Mathematics. In 1984/1985 he was at Imperial College .

Beck proved a conjecture of Paul Erdős in combinatorial geometry: If of n points in the plane not more than n - k (for a k with 0 <k <n - 2) lie on a straight line, they lay a number of straight lines larger as fixed for a constant c. In addition, he achieved a partial result for a conjecture by Gabriel Dirac and Theodore Motzkin : Among n non- collinear points in the plane there is a point through which (via the straight line connecting the other points) more than straight lines are defined (for a constant G).

He continues to work on irregularities in point distributions, number theory and combinatorial game theory ( e.g. tic-tac-toe ).

In 1985 he received the Fulkerson Prize for the work Roth's estimate of the discrepancy of integer sequences is nearly sharp , in which he introduced discrepancies of hypergraphs .

Beck was invited speaker at the 1986 International Congress of Mathematicians (ICM) in Berkeley (Uniformity and Irregularity). He is an external member of the Hungarian Academy of Sciences .

Fonts

  • with William Chen: Irregularities of Distributions. Cambridge University Press 1987.
  • Combinatorial Games: Tic Tac Toe Theory. Cambridge University Press 2008.
  • Inevitable randomness in discrete mathematics. American Mathematical Society 2009, Review, Rojas, Bulletin AMS, 2013 .
  • Games, Randomness and Algorithms. In: Ronald Graham, Jaroslav Nesetril (editor): The Mathematics of Paul Erdős. Vol. 1, Springer 1997, pp. 280-311.

Web links

Individual evidence

  1. ↑ Beck: On the lattice property of the plane and some problems of Dirac, Motzkin, and Erdős in combinatorial geometry. Combinatorica, Vol. 3, 1983, pp. 281-297.
  2. ↑ Combinatorica Vol. 1, 1981, p. 319.
personal data
SURNAME Beck, József
BRIEF DESCRIPTION Hungarian-American mathematician
DATE OF BIRTH February 14, 1952
PLACE OF BIRTH Budapest