Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic zeros divisors on the projective line having small diagonals
  and small heights and their application to adelic dynamics   We establish a quantitative adelic equidistribution theorem for a sequence of
algebraic zeros divisors on the projective line over the separable closure of a
product formula field having small diagonals and small $g$-heights with respect
to an adelic normalized weight $g$ in arbitrary characteristic and in possibly
non-separable setting, and obtain local proximity estimates between the
iterations of a rational function $f\in k(z)$ of degree $>1$ and a rational
function $a\in k(z)$ of degree $>0$ over a product formula field $k$ of
characteristic $0$, applying this quantitative adelic equidistribution result
to adelic dynamics of $f$.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an