Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group evaluation of exponents in family name
  distributions   According to many phenomenological and theoretical studies the distribution
of family name frequencies in a population can be asymptotically described by a
power law. We show that the Galton-Watson process corresponding to the dynamics
of a growing population can be represented in Hilbert space, and its time
evolution may be analyzed by renormalization group techniques, thus explaining
the origin of the power law and establishing the connection between its
exponent and the ratio between the population growth and the name production
rates.

21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn