Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random-walk in Beta-distributed random environment   We introduce an exactly-solvable model of random walk in random environment
that we call the Beta RWRE. This is a random walk in $\mathbb{Z}$ which
performs nearest neighbour jumps with transition probabilities drawn according
to the Beta distribution. We also describe a related directed polymer model,
which is a limit of the $q$-Hahn interacting particle system. Using a Fredholm
determinant representation for the quenched probability distribution function
of the walker's position, we are able to prove second order cube-root scale
corrections to the large deviation principle satisfied by the walker's
position, with convergence to the Tracy-Widom distribution. We also show that
this limit theorem can be interpreted in terms of the maximum of strongly
correlated random variables: the positions of independent walkers in the same
environment. The zero-temperature counterpart of the Beta RWRE can be studied
in a parallel way. We also prove a Tracy-Widom limit theorem for this model.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas