Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to split Dyson's transference inequality with the help of Wolfgang
  Schmidt's parametric geometry of numbers   In this paper we develop some of the ideas belonging to W.Schmidt and
L.Summerer to define intermediate Diophantine exponents and split Dyson's
transference inequality into a chain of inequalities for intermediate
exponents. This splitting generalizes the analogous result of M.Laurent and
Y.Bugeaud for Khintchine's transference inequalities.

36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th