Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal displacement of a supercritical branching random walk in a
  time-inhomogeneous random environment   The behavior of the maximal displacement of a supercritical branching random
walk has been a subject of intense studies for a long time. But only recently
the case of time-inhomogeneous branching has gained focus. The contribution of
this paper is to analyze a time-inhomogeneous model with two levels of
randomness. In the first step a sequence of branching laws is sampled
independently according to a distribution on the set of point measures' laws.
Conditionally on the realization of this sequence (called environment) we
define a branching random walk and find the asymptotic behavior of its maximal
particle. It is of the form $V_n -\varphi \log n + o_\mathbf{P}(\log n)$, where
$V_n$ is a function of the environment that behaves as a random walk and
$\varphi>0$ is a deterministic constant, which turns out to be bigger than the
usual logarithmic correction of the homogeneous branching random walk.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys