Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumerations of lattice animals and trees   We have developed an improved algorithm that allows us to enumerate the
number of site animals on the square lattice up to size 46. We also calculate
the number of lattice trees up to size 44 and the radius of gyration of both
lattice animals and trees up to size 42. Analysis of the resulting series
yields an improved estimate, $\lambda = 4.062570(8)$, for the growth constant
of lattice animals, and, $\lambda_0 = 3.795254(8)$, for the growth constant of
trees, and confirms to a very high degree of certainty that both the animal and
tree generating functions have a logarithmic divergence. Analysis of the radius
of gyration series yields the estimate, $\nu = 0.64115(5)$, for the size
exponent.

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The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph