Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling exponent of the maximum growth probability in diffusion-limited
  aggregation   An early (and influential) scaling relation in the multifractal theory of
Diffusion Limited Aggregation(DLA) is the Turkevich-Scher conjecture that
relates the exponent \alpha_{min} that characterizes the ``hottest'' region of
the harmonic measure and the fractal dimension D of the cluster, i.e.
D=1+\alpha_{min}. Due to lack of accurate direct measurements of both D and
\alpha_{min} this conjecture could never be put to serious test. Using the
method of iterated conformal maps D was recently determined as D=1.713+-0.003.
In this Letter we determine \alpha_{min} accurately, with the result
\alpha_{min}=0.665+-0.004. We thus conclude that the Turkevich-Scher conjecture
is incorrect for DLA.

16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph