Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier analysis, linear programming, and densities of distance avoiding
  sets in R^n   In this paper we derive new upper bounds for the densities of measurable sets
in R^n which avoid a finite set of prescribed distances. The new bounds come
from the solution of a linear programming problem. We apply this method to
obtain new upper bounds for measurable sets which avoid the unit distance in
dimensions 2,..., 24. This gives new lower bounds for the measurable chromatic
number in dimensions 3,..., 24. We apply it to get a new, short proof of a
variant of a recent result of Bukh which in turn generalizes theorems of
Furstenberg, Katznelson, Weiss and Bourgain and Falconer about sets avoiding
many distances.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs