Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: IDLA aggregates with infinitely many sources and the directed IDLA
  forest   We investigate three types of Internal Diffusion Limited Aggregation (IDLA)
models. These models are based on simple random walks on $\mathbf{Z}^2$ with
infinitely many sources that are the points of the vertical axis
$I(\infty)=\{0\}\times\mathbf{Z}$. Various properties are provided, such as
stationarity, mixing, stabilization and shape theorems. Our results allow us to
define a new directed (w.r.t. the horizontal direction) random forest spanning
$\mathbf{Z}^2$, based on an IDLA protocol, which is invariant in distribution
w.r.t. vertical translations.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn