Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Supremum Norm of the Discrepancy Function: Recent Results and
  Connections   A great challenge in the analysis of the discrepancy function D_N is to
obtain universal lower bounds on the L-infty norm of D_N in dimensions d \geq
3. It follows from the average case bound of Klaus Roth that the L-infty norm
of D_N is at least (log N) ^{(d-1)/2}. It is conjectured that the L-infty bound
is significantly larger, but the only definitive result is that of Wolfgang
Schmidt in dimension d=2. Partial improvements of the Roth exponent (d-1)/2 in
higher dimensions have been established by the authors and Armen Vagharshakyan.
We survey these results, the underlying methods, and some of their connections
to other subjects in probability, approximation theory, and analysis.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg