Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walk on nonnegative integers in beta distributed random
  environment   We consider random walks on the nonnegative integers in a space-time
dependent random environment. We assume that transition probabilities are given
by independent $\mathrm{Beta}(\mu,\mu)$ distributed random variables, with a
specific behaviour at the boundary, controlled by an extra parameter $\eta$. We
show that this model is exactly solvable and prove a formula for the mixed
moments of the random heat kernel. We then provide two formulas that allow us
to study the large-scale behaviour. The first involves a Fredholm Pfaffian,
which we use to prove a local limit theorem describing how the boundary
parameter $\eta$ affects the return probabilities. The second is an explicit
series of integrals, and we show that non-rigorous critical point asymptotics
suggest that the large deviation behaviour of this half-space random walk in
random environment is the same as for the analogous random walk on
$\mathbb{Z}$.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph