Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moment asymptotics for multitype branching random walks in random
  environment   We study a discrete time multitype branching random walk on a finite space
with finite set of types. Particles follow a Markov chain on the spatial space
whereas offspring distributions are given by a random field that is fixed
throughout the evolution of the particles. Our main interest lies in the
averaged (annealed) expectation of the population size, and its long-time
asymptotics. We first derive, for fixed time, a formula for the expected
population size with fixed offspring distributions, which is reminiscent of a
Feynman-Kac formula. We choose Weibull-type distributions with parameter
$1/\rho_{ij}$ for the upper tail of the mean number of $j$ type particles
produced by an $i$ type particle. We derive the first two terms of the
long-time asymptotics, which are written as two coupled variational formulas,
and interpret them in terms of the typical behavior of the system.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc