Fetching the paper…
Reading the bibliography…
A classical theorem of Spencer shows that any set system with n sets and n elements admits a coloring of discrepancy O(n^1/2).
On certain inequalities for normal distributions and their applications to simultaneous confidence bounds
C. G. Khatri · 1967
Earlier work this paper cites.
Rectangular confidence regions for the means of multivariate normal distributions
Z. Šidák · 1967
Earlier work this paper cites.
An introduction to probability theory and its applications. Vol. II
W. Feller · 1971
Earlier work this paper cites.
Roth’s estimate of the discrepancy of integer sequences is nearly sharp
J. Beck · 1981
Earlier work this paper cites.
“Integer-making” theorems
J. Beck and T. Fiala · 1981
Earlier work this paper cites.
The ellipsoid method and its consequences in combinatorial optimization
M. Grötschel, L. Lovász, and A. Schrijver · 1981
Earlier work this paper cites.
Six standard deviations suffice
J. Spencer · 1985
Earlier work this paper cites.
Extremal properties of orthogonal parallelepipeds and their applications to the geometry of banach spaces
E. D. Gluskin · 1989
Cited alongside, same era.
On the discrepancy of 3 3 permutations
G. Bohus · 1990
Cited alongside, same era.
Probability in Banach spaces
M. Ledoux and M. Talagrand · 1991
Cited alongside, same era.
On some vector balancing problems
A. Giannopoulos · 1997
Cited alongside, same era.
Improving the discrepancy bound for sparse matrices: Better approximations for sparse lattice approximation problems
A. Srinivasan · 1997
Cited alongside, same era.
Balancing vectors and Gaussian measures of n n -dimensional convex bodies
W. Banaszczyk · 1998
Cited alongside, same era.
The discrepancy method - randomness and complexity
B. Chazelle · 2001
Later among the works it cites.
Constructive algorithms for discrepancy minimization
N. Bansal · 2010
Later among the works it cites.
Constructive discrepancy minimization by walking on the edges
S. Lovett and R. Meka · 2012
Later among the works it cites.
Beck’s three permutations conjecture: A counterexample and some consequences
A. Newman, O. Neiman, and A. Nikolov · 2012
Later among the works it cites.
Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem
A. Marcus, D. A Spielman, and N. Srivastava · 2013
Later among the works it cites.
The Komlos Conjecture Holds for Vector Colorings
A. Nikolov · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Geometric discrepancy
J. Matoušek · 1999
Cited alongside, same era.
The discrepancy of permutation families
J. H. Spencer, A. Srinivasan, and P. Tetali
Cited in the paper.
R. Eldan and M. Singh · 2014
Closest in time.