Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic shape in a continuum growth model   A continuum growth model is introduced. The state at time $t$, $S_t$, is a
subset of $\mathbb{R}^d$ and consists of a connected union of randomly sized
Euclidean balls, which emerge from outbursts at their center points. An
outburst occurs somewhere in $S_t$ after an exponentially distributed time with
expected value $|S_t|^{-1}$ and the location of the outburst is uniformly
distributed over $S_t$. The main result is that if the distribution of the
radii of the outburst balls has bounded support, then $S_t$ grows linearly and
$S_t/t$ has a non-random shape as $t\rightarrow \infty$. Due to rotation
invariance the asymptotic shape must be a Euclidean ball.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph