Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Convergence Rate for Extended-Source Internal DLA in the Plane   Internal DLA (IDLA) is an internal aggregation model in which particles
perform random walks from the origin, in turn, and stop upon reaching an
unoccupied site. Levine and Peres showed that, when particles start instead
from fixed multiple-point distributions, the modified IDLA processes have
deterministic scaling limits related to a certain obstacle problem. In this
paper, we investigate the convergence rate of this "extended source" IDLA in
the plane to its scaling limit. We show that, if $\delta$ is the lattice size,
fluctuations of the IDLA occupied set are at most of order $\delta^{3/5}$ from
its scaling limit, with probability at least $1-e^{-1/\delta^{2/5}}$.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th