Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization of Growth Sites in DLA Clusters: Multifractality and
  Multiscaling   The growth of a diffusion limited aggregation (DLA) cluster with mass $M$ and
radius of gyration $R$ is described by a set of growth probabilities $\{
p_i\}$, where $p_i$ is the probability that the perimeter site $i$ will be the
next to grow. We introduce the joint distribution $N(\alpha, x, M)$, where
$N(\alpha,x,M)d\alpha dx$ is the number of perimeter sites with $\alpha$-values
in the range $\alpha\le \alpha_i \le \alpha+d\alpha$ (``$\alpha$-sites'') and
located in the annulus [x, x+dx] around the cluster seed. Here, $\alpha_i
\equiv -\ln p_i / \ln R$ if $p_i>0$, $x\equiv r_i/R$, and $r_i$ is the distance
of site $i$ from the seed of the DLA cluster. We use $N(\alpha,x,M)$ to relate
multifractal and multiscaling properties of DLA. In particular, we find that
for large $M$ the location of the $\alpha$-sites is peaked around a fixed value
$\bar x(\alpha)$; in contrast, the perimeter sites with $p_i=0$ are uniformly
distributed over the DLA cluster.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: physics