Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directed Percolation has Colors and Flavors   A model of directed percolation processes with colors and flavors that is
equivalent to a population model with many species near their extinction
thresholds is presented. We use renormalized field theory and demonstrate that
all renormalizations needed for the calculation of the universal scaling
behavior near the multicritical point can be gained from the one-species Gribov
process (Reggeon field theory). In addition this universal model shows an
instability that generically leads to a total asymmetry between each pair of
species of a cooperative society, and finally to unidirectionality of the
interspecies couplings. It is shown that in general the universal multicritical
properties of unidirectionally coupled directed percolation processes with
linear coupling can also be described by the model. Consequently the crossover
exponent describing the scaling of the linear coupling parameters is given by
$\Phi =1$ to all orders of the perturbation expansion. As an example of
unidirectionally coupled directed percolation, we discuss the population
dynamics of the tournaments of three colors.

18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga